{ "0812/0812.2721_arXiv.txt": { "abstract": " ", "introduction": "Direct detection of gravitational waves (GWs) would be of huge importance to the physics and astrophysics communities. Detection would simultaneously verify our basic understanding of gravitational physics and usher in a new era of astronomy. Using models of galaxy merger rates and the properties of coalescing black holes, \\cite{svc+08} and references therein predict the existence of an isotropic, stochastic, low-frequency GW background. Various models of cosmic strings \\citep{dv01,cbs96} and the inflationary era \\citep{tur97,bb08} also predict the existence of a low-frequency GW background \\citep{mag00}. In the frequency range accessible by pulsar timing these backgrounds can be described by their characteristic strain spectrum, $h_c(f)$, which can be approximated as \\begin{equation} h_c(f) = A_g\\left(\\frac{f}{f_{\\rm 1 yr}} \\right)^\\alpha \\end{equation} where $f_{\\rm 1 yr} = 1/1$\\,yr. The dimensionless amplitude of the background, $A_g$, and the spectral exponent, $\\alpha$, depend on the type of background \\citep{jhv+06}. \\cite{saz78} and \\cite{det79} showed that these GW signals could be identified through observations of pulsars. Standard pulsar timing techniques \\citep[e.g.][]{ehm06,lk05} are used to search for the existence of GWs. Timing software \\citep{hem06} is used to compare the predictions of a pulsar timing model with measured pulse times of arrival (TOAs). The timing model for each pulsar contains information about the pulsar's astrometric, spin and orbital parameters. Any deviations of the actual arrival times from the model predictions - the pulsar timing residuals - represent the presence of unmodelled effects which will include calibration errors, spin-down irregularities and the timing signal caused by GWs. The signal from GWs can be disentangled from other unmodelled effects by looking for correlations in the timing residuals of a large number of pulsars that are distributed over the entire sky. Pulsar timing experiments are sensitive to GW signals in the ultra-low frequency (f $\\sim 10^{-9}$--$10^{-8}$\\,Hz) band making them complementary to the space- and ground-based interferometers such as the Laser Interferometer Space Antenna (LISA) and the Laser Interferometer Gravitational Wave Observatory (LIGO), which are sensitive to higher frequency GWs (see Figure~\\ref{fg:sens} and \\S\\ref{sec:band}). \\begin{figure} \\includegraphics[width=6cm,angle=-90]{sens.ps} \\caption{Characteristic strain sensitivity for existing and proposed GW detectors as a function of GW frequency. Predicted signal levels from various astrophysical sources are shown. Figure from Hobbs (2008b).}\\label{fg:sens} \\end{figure}\\nocite{hob08b} For a given pulsar and GW source, the induced timing residuals caused by a GW signal only depend on the GW characteristic strain at the pulsar and at the Earth. The GW strains at the positions of well-separated pulsars will be uncorrelated, whereas the component at the Earth will lead to a correlated signal in the timing residuals of all pulsars \\citep{hd83}. It is this correlated signal that the pulsar timing experiments aim to detect. The first high-precision pulsar timing array experiments were carried out using the Arecibo and GreenBank radio telescopes \\citep[e.g.][]{fb90}. Observations of PSRs~B1937+21 and B1855+09 were subsequently used to obtain a limit on the existence of a GW background \\citep[e.g.][]{srtr90,ktr94,mzvl96,lom02}. Unfortunately, the timing precision presented in these early papers was too poor to attempt to \\emph{detect} the expected GW signals. New pulsar discoveries and better instrumentation has significantly improved the timing precision achievable. Recently \\cite{vbv+08} showed that PSR~J0437$-$4715 could be timed using the Parkes radio telescope with an rms timing residual of only 200\\,ns over a 10\\,yr period. Timing precisions are continuing to improve. \\cite{lb01} described how pulsar data sets could be used to constrain the existence of binary black holes in the centre of our Galaxy and in close-by galaxies. In 2003, a VLBI experiment detected motions in the radio galaxy 3C66B that were thought to be evidence of a binary supermassive black hole system \\citep{simt03}. \\citet{jllw04} determined the expected PSR~B1855+09 timing residuals that would occur due to GW emission from the postulated system and compared them with archival Arecibo data. The pulsar timing observations allowed the existence of the binary system to be ruled out with 95\\% confidence. The Parkes Pulsar Timing Array (PPTA) project began in the year 2003. The three main aims of this project are 1) to detect GW signals, 2) to establish a pulsar-based time scale for comparison with terrestrial time standards and 3) to improve the Solar system planetary ephemerides. In this paper, we describe the work that has already been carried out towards our first aim of GW detection. This includes determining the number of pulsars and observing parameters required to detect a GW signal, obtaining the most stringent constraint on the existence of a GW background and producing high quality data sets for use in GW astronomy. ", "conclusions": "Current pulsar timing array experiments have the potential to detect low-frequency GW signals within a decade. Future experiments with the Square Kilometre Array telescope should allow detailed observations of both a stochastic GW background and individual GW sources. The pulsar timing technique is complementary to other projects that are attempting to detect much higher frequency GWs." }, "0812/0812.0809_arXiv.txt": { "abstract": "{To constrain Randall-Sundrum type braneworld gravity models and the expected rapid evaporation of astrophysical black holes due to the emission of gravitational modes in the extra dimension.} {It is argued that the black-hole X-ray binary XTE J1118+480 is suitable for a constraint on the asymptotic curvature radius of the extra dimension in such braneworld models. An upper limit on the rate of change of the orbital period of XTE J1118+480 is obtained.} {The expected black-hole evaporation in the extra dimension leads to a potentially observable rate of change of the orbital period in XTE J1118+480. The time-change of the orbital period is calculated from previous orbital period measurements from the literature. The lack of observed orbital period evolution is used to constrain the asymptotic curvature radius of the extra dimension.} {The asymptotic AdS radius of curvature is constrained to a value comparable to other limits from astrophysical sources. A unique property of XTE J1118+480 is that the expected rate of change of the orbital period due to magnetic braking alone is so large that only one additional measurement of the orbital period would lead to the first detection of orbital evolution in a black-hole binary and impose the tightest constraint to date on the size of one extra dimension of the order of $35{\\rm \\mu m}$.} {} ", "introduction": "The so-called hierarchy problem is one of the key open questions in the search for a grand theory beyond general relativity and the standard model. The fundamental scale of Einsteinian gravity, the Planck scale, differs from the electroweak scale by 16 orders of magnitude, thus making general relativity and the standard model hard to reconcile in a grand unification sceme. Braneworld Gravity, as a candidate for a unified theory, requires the existence of more than three spatial dimensions (see Maartens 2004 for a review), but the size of a potential extra dimension has already been constrained to the sub-mm range by precision tests of Newton's inverse square law (see, e.g., Adelberger, Heckel \\& Nelson 2003 for a review). One possible solution (Arkani-Hamed, Dimopoulos \\& Dvali 1998) is to demand that extra dimensions be compactified at a scale smaller than those probed by experiment. All standard-model particles are bound to the known four-dimensional world (``the brane''). Only gravity can access the extra dimensions, which accounts for its apparent weakness, because it is spread out through higher-dimensional space (``the bulk''). This approach reconciles the gravitational and the electroweak scales if the extra dimensions are large enough, but it is beyond the scope of astrophysical tests. A second scenario (Randall \\& Sundrum 1999) embeds the brane in a five-dimensional anti-de Sitter space, which allows for the extra dimension to be infinite. The bulk is filled with a negative cosmological constant such that the extra dimension only effects the brane on a length scale which is small enough and which is set by the asymptotic curvature radius $L$ of the bulk. This model has striking consequences for astrophysical black holes. Perturbative solution of the classical bulk equations (Tanaka 2003) indicated that no stable black holes can exist on the brane. A treatment of higher-dimensional black holes via the AdS/CFT correspondence showed that black holes are indeed unstable and lose energy in the extra dimension through the emission of CFT modes (Emparan, Garc\\'{i}a-Bellido \\& Kaloper 2003; see, however, Fitzpatrick, Randall \\& Wiseman 2006). The lifetimes of astrophysical black holes are dramatically reduced and can be as short as a Megayear if the asymptotic curvature $L$ of the extra dimension turns out to be in the sub-mm range. For a binary system consisting of a black hole and a companion star, this effect should be observable and lead to a measurable change of the orbital period (Johannsen, Psaltis \\& McClintock 2009). Several black-hole binaries were identified as candidates, and the system SXT A0620-00 yielded a constraint on the asymptotic curvature radius of $L<161~{\\rm \\mu m}$ at 3$\\sigma$ (Johannsen et al. 2009). Similar limits have been obtained from the age of the black hole XTE J1118+480 ($L<80~{\\rm\\mu m}$; Psaltis 2007) and from tabletop experiments of Newton's inverse square law (Adelberger et al. 2007; Geraci et al. 2008). The current 3$\\sigma$-upper limit on the AdS radius $L$ is of the order of $44~{\\rm\\mu m}$ (Kapner et al. 2007). In this paper, I extend the analysis of Johannsen et al. (2009) to the black-hole binary XTE J1118+480 and compute an additional constraint on the asymptotic curvature radius $L$. In \\S 2, I briefly review the results of Johannsen et al. (2009) for the evolution of the orbital period of a black-hole binary system with non-conservative mass transfer and black-hole evaporation. In \\S 3, I apply this result to the black-hole binary J1118+480 and I obtain a constraint on the asymptotic curvature radius of $L<0.97~{\\rm mm}$ in \\S 4. ", "conclusions": "\\begin{enumerate} \\item The black-hole binary XTE J1118+480 is well-suited for a constraint on the asymptotic curvature radius of the extra dimension in Randall-Sundrum type braneworld gravity models. \\item An upper limit on the rate of change of the orbital period of XTE J1118+480 is calculated based on previous measurements of the orbital period from the literature. The lack of observed orbital evolution of this binary imposes a constraint on the asymptotic curvature radius of $L<0.97~{\\rm mm}$. \\item This constraint can be significantly improved by only one additional measurement of the orbital period of XTE J1118+480. This would be the first detection of orbital evolution in a black-hole binary. The expected predominance of magnetic braking would provide the best constraint to date on the asymptotic curvature radius of the extra dimension of the order of $35~{\\rm \\mu m}$. \\end{enumerate}" }, "0812/0812.1514_arXiv.txt": { "abstract": "{We present the results of a 500 ksec observation of the Perseus cluster with \\intgr, with the aim of investigating the possible diffuse non-thermal component detected in a previous \\emph{Chandra} observation. In the 3-20 keV band with the JEM-X instrument, we detect the source with high significance and resolve it spatially. Above 20 keV with IBIS/ISGRI, we find that the source is point-like, and the cluster could be detected up to 120 keV. From the broad-band ISGRI/JEM-X spectrum, although we detect a non-thermal component, we find that the high-energy flux is variable and is consistent with the extrapolation of the 2-10 keV flux of the central AGN, NGC 1275. The extrapolation of the non-thermal component claimed from \\emph{Chandra} data exceeds the \\intgr\\ spectrum by a factor of 3.} ", "introduction": "The Perseus cluster Abell 426 ($z=0.0176$) is the brightest galaxy cluster in the X-ray band, and the prototype of cooling-core clusters \\citep{fabian}. Its central cD galaxy, NGC 1275, hosts a well-known narrow-line radio galaxy, Per A, which interacts with the intra-cluster gas through its jets and outflows \\citep{boehringer}. In the X-ray band, the cluster was the target of a very long (900 ksec) \\cra\\ observation \\citep{fabch1}, which revealed a very complex structure, with a temperature ranging from 2.5 keV in the central regions up to $\\sim8$ keV in the outskirts. Several structures associated with the propagation of high-energy particles injected by the central AGN in the thermal plasma (X-ray cavities, sound waves) were also detected.\\\\ Apart from the very deep \\emph{Chandra} observations, the cluster was also observed by \\xmm\\ \\citep{churazov}. Thanks to the larger FOV of \\xmm, it was also possible to observe the structure of the gas in the outer regions. An asymmetry of the surface brightness profile in the east-west direction was found, possibly corresponding to a small group of galaxies falling onto the main cluster. The contribution of the active nucleus in the center of NGC 1275 was also estimated. The spectrum of the AGN could be well-fitted by an absorbed power law with a photon index $\\Gamma=1.65$ typical of radio-loud AGN and a luminosity of $10^{43}$ ergs $s^{-1}$ in the 0.5-8 keV band.\\\\ In the radio domain, the bright radio source 3C 84 is consistent with the position of NGC 1275. While most of the radio emission comes from the radio galaxy, emission on a larger scale ($\\sim$10 arcmin) was also detected in the cluster (\\citet{burns}, \\citet{ferettiper}), designated as the Perseus ``mini-halo\". This implies the presence of relativistic electrons, whose origin is not yet fully understood. If the AGN jets are hadronic, the radio emission probably comes from secondary electrons produced by interactions between cosmic-ray protons and thermal ions \\citep{pfrommermh}. Alternatively, the electrons could also be directly accelerated through turbulence induced by the central nucleus \\citep{gitti}, although the shocks produced by the interaction of the AGN jets with the ICM do not seem to be strong enough.\\\\ Since the existence of relativistic electrons in the cluster is obvious because of the radio synchrotron emission, we expect that photons of the CMB as well as optical/IR photons coming from the central galaxy should be up-scattered to higher energies, in particular to the (hard) X-ray domain (see e.g. \\citet{sarazin}). An excess of emission compared to the thermal emission was probably detected in the Coma \\citep{fusco} and A2256 \\citep{fusco2256} clusters by \\bps\\ and in the Ophiuchus cluster \\citep{eckertoph} by \\intgr. Thanks to the very long \\emph{Chandra} observation of the cluster, such a component has been claimed to be detected in addition to the thermal emission (\\citet{sanders05}, \\citet{sanders07}). This allowed the authors to present a magnetic field map of the cluster and derive a steep magnetic field profile, ranging from $\\sim3\\,\\mu G$ in the center down to $\\sim0.1\\,\\mu G$ in the outskirts. However, a recent \\xmm\\ observation did not confirm the result \\citep{molendi}, so observations of the cluster above 10 keV where the thermal emission becomes weaker are required to confirm this result. \\\\ In the hard X-ray band, \\citet{nevalainen} presented \\bps/PDS observations of the cluster, and concluded that the emission was consistent with the extrapolation of the AGN flux. However, since the PDS instrument was non-imaging, it was not possible to put any constraints on the diffuse emission. Recently, \\citet{ajello} found the same result using data from the \\emph{Swift} satellite.\\\\ \\begin{figure*} \\centerline{\\hbox{\\includegraphics[width=8cm]{1154fig1a.eps} \\includegraphics[width=8cm]{1154fig1b.eps}}} \\caption{Left: ISGRI 20-30 keV significance image of the Perseus cluster region. For comparison, the contours show the JEM-X 3-7 keV emission. The position of the radio galaxy NGC 1275 is also displaid. Right: JEM-X significance image of the cluster in the 3-7 keV band with contours from \\emph{ROSAT}/PSPC. The green circle shows the position of NGC 1275 at the center of the cluster.} \\label{per_int} \\end{figure*} In this paper, we present the results of a 500 ksec observation of the Perseus cluster with the \\intgr\\ satellite \\citep{Win03}. Thanks to the broad-band coverage and good sensitivity in the hard X-ray range, IBIS \\citep{Ube03} and JEM-X \\citep{lund} have the necessary capabilities to constrain a possible non-thermal component. Indeed, the extrapolation of the diffuse non-thermal flux claimed by \\citet{sanders05} within a radius of 3 arcmin from the center ($6.3\\times10^{-11}$ ergs cm$^{-2}$ $s^{-1}$ in the 2-10 keV band, and a power-law index in the range $1.4-2.2$) is clearly above the sensitivity of IBIS. Therefore, if it is present, \\intgr\\ has the capabilities to confirm or rule out the \\emph{Chandra} result. ", "conclusions": "In this paper, we presented the results of a 500 ksec \\intgr\\ observation of the Perseus cluster. We found that \\intgr\\ data can efficiently constrain a possible high-energy tail in the spectrum. Although we found clear evidence for a power-law component above 30 keV, the properties of this power-law are consistent with the extrapolation of the X-ray spectrum from the central nucleus, in agreement with the results from \\bps\\ \\citep{nevalainen} and \\emph{Swift} \\citep{ajello}. Moreover, we have found that the high-energy flux (30-120 keV) significantly varies between the different periods of the observation, covering $\\sim$ 1.5 yr. This clearly demonstrates that the high-energy emission is dominated by the AGN.\\\\ On the other hand, extrapolating the power-law component claimed by \\citet{sanders05} from \\emph{Chandra} data ($6.3\\times10^{-11}$ ergs cm$^{-2}$ $s^{-1}$ in the 2-10 keV band with a photon index $\\Gamma\\sim2.0$) to the ISGRI band, we found that this model clearly over-predicts the high-energy data by a factor of $\\sim$3 in the 40-60 keV band. Therefore, the presence of a flat power-law at such a high level is ruled out by ISGRI data. Overall, we find that the broad-band \\intgr\\ spectrum can be well-described by a two-temperature thermal model (a $\\sim$ 3 keV component from the cool core and a hotter component from the outskirts) plus a variable power-law from the central radio galaxy. The data can also be well-described by a model consisting of a single thermal component, the AGN contribution and a power-law with a high-energy cut-off at an energy $E_{cut}\\sim16$ keV in agreement with the discussion of \\citet{sanders07}. Given that deep X-ray observations clearly indicate the multi-temperature structure of the cluster, the two-temperature model is favoured. Moreover, a longer \\xmm\\ observation \\citep{molendi} did not confirm the \\emph{Chandra} result. The authors claim that the discrepancy between \\emph{Chandra} and \\xmm\\ results is due to uncertainties in the effective area calibration of \\emph{Chandra} in the highest band. \\intgr\\ data are in agreement with this result.\\\\ In conclusion, using \\intgr\\ data, we found no evidence for a diffuse power-law emission which would dominate the emission above 30 keV. Unfortunately, the angular resolution of IBIS/ISGRI is not sufficient to disentangle the point-like emission from the diffuse component, so it is not possible to set any upper limit on the diffuse non-thermal emission. Observations of the cluster in the hard X-ray band with better angular resolution and sensitivity would be very important to detect the diffuse non-thermal component and map the magnetic field strength over the cluster, which could bring a very important input to the understanding of the interactions between the AGN radio lobes and the thermal plasma. In this framework, the future focusing hard X-ray missions (\\emph{Simbol-X}, \\emph{NuSTAR}, \\emph{NeXT}) should be able to detect the diffuse non-thermal component." }, "0812/0812.3511_arXiv.txt": { "abstract": "Recently, there are two hints arising from physics beyond the standard model. One is a possible energy loss mechanism due to emission of very weakly interacting light particles from white dwarf stars, with a coupling strength $\\sim 0.7\\times 10^{-13}$, and another is the high energy positrons observed by the PAMELA satellite experiment. We construct a supersymmetric flipped-SU(5) model, \\suf1 with appropriate additional symmetries, [U(1)$_H]_{\\rm gauge}\\times$[U(1)$_R\\times$U(1)$ _\\Gamma]_{\\rm global}\\times Z_2$, such that these are explained by a very light {\\it electrophilic} axion of mass 0.5 meV from the spontaneously broken U(1)$_\\Gamma$ and two component cold dark matters from $Z_2$ parity. We show that in the flipped-SU(5) there exists a basic mechanism for allowing excess positrons through the charged SU(5) singlet leptons, but not allowing anti-proton excess due to the absence of the SU(5) singlet quarks. We show the discovery potential of the charged SU(5) singlet $E$ at the LHC experiments by observing the electron and positron spectrum. With these symmetries, we also comment on the mass hierarchy between the top and bottom quarks. ", "introduction": "The most looked-for particles on Earth at the present time are axions \\cite{KimCarosi} and weakly interacting massive particles(WIMPs) \\cite{highEpartDM}. Recently, hints on these particles have been reported from outer space sources. The 10 year old INTEGRAL data \\cite{INTEGRAL} gives the 511 keV line. The white dwarf cooling has been suggested by the emission of very weakly interacting light particles(VWLP) (mass less than $\\sim 1$ eV) with a very small coupling strength to electron ($\\sim 0.7\\times 10^{-13}$) \\cite{Isern08}. At present, this white dwarf bound can be considered just as an upper bound, but in this paper we adopt a bold assumption that their best fit corresponds to the existence of a VWLP. More recently, the remarkable observation of high energy positron excess in the satellite PAMELA data \\cite{PAMELAe} hints heavy (100 GeV -- 10 TeV) cold dark matter(CDM) particles \\cite{% Bergstrom08,TwoDMs,Raidal08}. Since the 511 keV line can be explained by the astrophysical origin, or by the particles of mass ${\\cal O}(1-10)~{\\rm MeV}$ \\cite{Partgammaray}, or by an excited state almost degenerate to the WIMP \\cite{Weaner07}, in this paper we attempt to understand the latter two of these observations from a grand unification (GUT) viewpoint of the flipped-SU(5) \\cite{Barr82,DKN84flip}. The PAMELA group \\cite{PAMELAe} reports the high energy positron excess, above 10 GeV up to 60 GeV, at the level $e^+/(e^++e^-)\\sim O(0.1)$, but has not reported any noticeable excess of anti-protons \\cite{PAMELAp}. The charactersistic of the data between 10--60 GeV is a slightly rising positron flux, which is inconsistent to the lightest supersymmetric particle(LSP) in the minimal supersymmetric standard model(MSSM) with supersymmetric(SUSY) particles at ${\\cal O}(100~\\rm GeV)$ \\cite{TwoDMs}. Thus, the MSSM with ${\\cal O}(100~\\rm GeV)$ lightest neutralino DM component $\\chi$(\\LN) has to be modified if SUSY has to be kept for the gauge hierarchy solution. The minimal extension needs just three two component fermions $N_R, E_R$ and $E_R^c$ \\cite{TwoDMs}, with the coupling \\begin{equation} W=e_RE_R^cN_R.\\label{eEcN} \\end{equation} If one tries to introduce more fields around TeV scale, certainly the rising positron flux can be explained, but it is very difficult \\cite{Raidal08} to explain nonobservation of antiproton flux. This suggests a different treatment of electron from quarks. Indeed, the flipped-SU(5) GUT \\suf1 treats charged leptons differently from quarks \\cite{Barr82} such that the charged lepton is an \\suf1 singlet, \\begin{widetext} \\begin{equation} \\tent_1=\\left(\\begin{array}{ccccc} 0& d& -d& u^c& -d^c\\\\ -d& 0& d& -u^c& d^c\\\\ d& -d& 0& u^c& -d^c\\\\ -u^c& u^c& -u^c& 0& \\nu_0\\\\ d^c& -d^c& d^c& -\\nu_0& 0 \\end{array} \\right)_R,\\ \\fivebt_{-3}=\\left(\\begin{array}{c} u\\\\ u\\\\ u\\\\ \\overline{e}\\\\ -\\overline{\\nu}_e\\end{array}\\right)_R,\\ \\onet_{5}=e_R~ .\\label{flipRep} \\end{equation} \\end{widetext} The specific form of the coupling (\\ref{eEcN}) is related to the problems of the Yukawa couplings. In this regard, we note the five old but fundamental problems on the masses of the standard model fermions. Firstly, there is a hierarchy of the top quark mass $m_t\\sim fv/\\sqrt2\\simeq 170$ GeV at the electroweak scale of $v\\simeq 250$ GeV, and the rest of the standard model particle masses are much smaller than the top quark mass, $m\\le m_b\\simeq 4.5~{\\rm GeV}\\ll m_t$. Second, there is a sizable Cabibbo mixing, especially between the first and the second family quarks. Third, the quark mass ratio is reversed in the first family compared to those of the second and the third family quarks, i.e. ${m_u}/{m_d}<1$ while ${m_c}/{m_s}>1$ and ${m_t}/{m_b}>1$. Even though it is not proper to define an inverted mass pattern for leptons, it looks like that the electron mass is also an inverted pattern because ${m_e}/{m_\\mu}\\simeq {m_u}/{4m_c}\\sim {\\cal O}(1/200)$. Fourth, there is a big hierarchy of singlet neutrino mass of $m_{\\nu_0}\\sim {\\cal O}(10^{14})$ GeV for the seesaw mechanism \\cite{Minkowski77} and the electroweak scale of $v\\simeq 250$ GeV. Finally, we point out that the SM neutrino mass pattern shows a tri-bi maximal mixing pattern \\cite{tribiPerkins}. Except the tri-bi maximal mixing, in this paper we try to understand the remaining four problems in a flipped-SU(5) GUT. To have a very light axion implied by the white dwarf data, we introduce a Peccei-Quinn (PQ) symmetry U(1)$_\\Gamma$ so that the symmetry we consider is extended to \\suf1 times U(1)$_\\Gamma$. To have the inverted mass pattern of the quark mass ratio in the first family, we assign different $\\Gamma$ charges for the first family members and the second and the third family members. But, to have a large Cabibbo mixing, we require Q$_{\\rm em}=\\frac23$ quarks or Q$_{\\rm em}=-\\frac13$ quarks mix fully, restricted only by the strength of the corresponding Yukawa couplings but without any restriction from the symmetry arguments. In the flipped-SU(5), since both the quark singlet $d_R$ and the quark doublet $q_R^c$ appear in ${\\bf 10}_1$, viz. Eq. (\\ref{flipRep}), it is easy to mix Q$_{\\rm em}=-\\frac13$ quarks fully without restrictions from the symmetry arguments. So, we assign the same symmetry charges for three members ${\\bf 10}_1^{(i)}(i=1,2,3)$. Then, Q$_{\\rm em}=-\\frac13$ quarks can be mixed fully as desired. But the charges of $\\overline{5}_{-3}^{(i)}$ and ${1}_{5}^{(i)}$ can be different for different $i$ to allow the inverted mass pattern of the quark mass ratio for the first family. For the singlet neutrino mass problem, we need a large VEV, above the axion window of $10^9-10^{12}$ GeV. If there is no other gauge symmetry, the PQ symmetry may be broken by this large VEV. Thus, we introduce another U(1) gauge symmetry which will be called a horizontal gauge symmetry U(1)$_H$, distinguishing the first family and the second and third families. Finally, to keep $E_R-E_R^c$ pair at the electroweak scale and to have proton stability and two dark matter components \\cite{TwoDMs}, we introduce the $R$ symmetry and $Z_2$ symmetry (the $R$-parity). Thus, the symmetry we consider is \\begin{equation} SU(5)\\times U(1)_X\\times U(1)_H\\times U(1)_R\\times U(1)_{\\Gamma}\\times Z_2.\\label{symmetry} \\end{equation} In this model, the renormalizable couplings are gauge couplings and the top quark Yukawa coupling. All the other Yukawa couplings are non-renormalizable. The model we introduce does not have the $c_3$ term of Ref. \\cite{KimCarosi}, where the $c_3$ term is the axion and QCD anomaly coupling, and the PQ charges of Higgs doublets vanish. Therefore, the very light axion we obtain is not a proper Kim-Shifman-Vainstein-Zakharov (KSVZ) axion \\cite{Kim79}, or the Dine-Fischler-Srednicki-Zhitnitskii (DFSZ) axion \\cite{DFSZ81}, but can be called a `variant very light axion'. The electron--axion coupling is known to be small for the KSVZ axion, as calculated in Ref. \\cite{Sredecoupling85}. In our case, the axion arises from the $c_2$ term of Ref. \\cite{KimCarosi}, where the $c_2$ term is the light quark mass term, through a non-renormalizable interaction, and the electron--axion coupling turns out to be large. Since this `very light variant axion' is required to have a large electron coupling, it will be called a very light {\\it electrophilic} axion. In Sec. \\ref{sec:WD}, we briefly review the white dwarf bound \\cite{Isern08}. In Sec. \\ref{sec:flip}, we present a flipped-SU(5) model, satisfying the criteria presented above. In Sec. \\ref{sec:phenomenology}, we discuss the SUSY phenomenology for the model presented in Sec. \\ref{sec:flip}. Sec. \\ref{sec:conclusion} is a conclusion. ", "conclusions": "\\label{sec:conclusion} The recent PAMELA satellite data from the galactic source suggested the positron excess \\cite{PAMELAe} but no anti-proton excess \\cite{PAMELAp}. Regarding these observations, two dark matter components, the neutralino $\\chi$ and the singlet fermion $N$, were suggested in Ref. \\cite{TwoDMs}. The needed coupling has been given by Eq. (\\ref{eEcN}). Here, we studied the flipped-SU(5) where charged SU(2) singlet leptons such as $e_R, E_R$ and $E_R^c$ of Eq. (\\ref{eEcN}) can be its allowed representations, but a similar coupling for an anti-proton excess is not allowed because quarks must be embedded in SU(5) non-singlet representations. In addition, there exists an interesting suggestion of the possible existence of VWLP with the coupling strength (\\ref{aeWDcoupling}) from the study of white dwarf cooling \\cite{Isern08}. In this paper, we tried to interpret this VWLP as an {\\it electrophilic} axion with the axion decay constant $F_a\\simeq 1.4\\times 10^{10}$ GeV. In the DFSZ model, the corresponding $F_a$ would be $\\simeq 1.2\\times 10^{9}$ GeV which would be barely consistent with the SN1987A bound. This kind of {\\it electrophilic} axion can arise in `variant very light axion' models where different families possess different PQ quantum numbers $\\Gamma$. We argued that the inverted mass pattern of the first family from that of the second and third families is the logic for assigning different PQ quantum numbers for different family members. Allowing an effective domain wall number of $\\frac12$ [See Footnote \\ref{footDW}.], we constructed an {\\it electrophilic} axion. The symmetries we introduced in (\\ref{symmetry}) is bigger than \\suf1$\\times$U(1)$_\\Gamma$, to allow a GUT scale VEV with an intermediate scale $F_a$ and R-parity. With these symmetries, we explained the mass hierarchy between the top and bottom quarks. In this model, the gauge couplings and the top quark Yukawa coupling are the only renormalizable couplings. This model needs a charged SU(2) singlet lepton $E$ at the electroweak scale. So, the existence of $E$ is absolutely needed for this suggestion of the positron excess to work. Here, the discovery potential of $E$, at the LHC experiments by observing the electron and positron spectrum, is presented. We calculated the $e^+e^-$ spectrum at the center of momentum frame of the quark and anti-quark pair and compared it with the expected background. We pointed out that the SU(2) singlet $E$ with the coupling (\\ref{eEcN}) is distinguishable from other possibilities we can imagine. Therefore, the discovery of $E$ at the LHC experiments will indirectly confirm the two dark matter component hypothesis of \\cite{TwoDMs}. Or it can be ruled out from the LHC experiments by the absence of the $e^+e^-$ excess above the background. \\vskip 0.3cm" }, "0812/0812.2101_arXiv.txt": { "abstract": "{We present some results on the study of stellar population properties and distances of galaxies using the SBF technique. The applications summarized here show that the Surface Brightness Fluctuations (SBF) method is able to $i)$ provide accurate distances of resolved and unresolved stellar systems from $\\sim$ 10~Kpc to $\\sim$ 150 Mpc, and $ii)$ to reliably constrain the physical properties (e.g. age and metallicity) of unresolved stellar systems. ", "introduction": "The knowledge of the complex evolution of the stellar component in high redshift galaxies relies on how detailed is our understanding of the history of stars in nearby galaxies. The best way to trace back the star formation episodes in a galaxy is to study resolved stars. However, this is possible only for few nearby objects, tipically using the best observational facilities to date, and only for the brightest stars in the population. Given such limitations several techniques have been proposed to disentangle the properties of unresolved stellar systems, one of these is the Surface Brightness Fluctuations method \\citep[SBF hereafter]{ts88}. The SBF technique was introduced as a distance indicator for elliptical galaxies within $\\sim$1-20 Mpc. After more than two decades of systematic applications it is now recognized that the SBF method works in a much larger distance interval, and can be applied to a wider class of objects: ellipticals, bulges of spirals, dwarf ellipticals, globular clusters, etc. In addition, it is well accepted that SBF magnitudes and colors represent a potential tool to analyze in details the physical and chemical properties of unresolved and resolved stellar systems. In this paper we will briefly discuss some applications of the SBF method done at the INAF-Observatory of Teramo by the SPoT\\footnote{Teramo--Stellar POpulations Tools group website: www.oa-teramo.inaf.it/SPoT} group. ", "conclusions": "The SBF technique is to date one of the most reliable distance indicators for elliptical galaxies. However, to our point of view, this technique is underestimated with respect to its real potentiality. Concerning distance measurements, the SBF method is able to provide distances from few Kpc up to $\\sim$150 Mpc with present observing facilities, and possibly to much larger distances with future instrumentations. Such unique characteristic gives the SBF the potential to cover the distance scale ladder from local to low redshift ($z\\leq0.05$) distances. Thus, SBF measurements, coupled with a reliable calibration of absolute SBF magnitudes, provide a great opportunity to substantially reduce the systematic uncertainty that affects the cosmological distance scale. With regard to stellar population analysis, there are only few studies dedicated to this topic based on the SBF method. However, it is now evident that SBF can greatly improve our understanding of the properties of unresolved stellar systems. We presented SPoT models in a specific SBF optical-to-near--IR color plane showing the potential of SBF colors to substantially remove the age-metallicity degeneracy. Future application of this technique - possibly coupled with the measure SBF-color gradients attainable with the next generation optical and near--IR large FoV detectors - will provide significant constraints to the knowledge on the formation and evolution of the stellar component in low-redshift galaxies." }, "0812/0812.0797_arXiv.txt": { "abstract": "We improve earlier Galactic bounds that can be placed on the fraction of dark matter in charged elemental particles (CHAMPs). These constraints are of interest for CHAMPs whose mass is too large for them to have seen through their electromagnetic interaction with ordinary matter, and whose gyroradius in the galactic magnetic field is too small for halo CHAMPs to reach Earth. If unneutralized CHAMPs in that mass range are well mixed in the halo, they can at most make up a fraction $\\lesssim (3-7)\\times 10^{-3}$ of the mass of the Galactic halo. CHAMPs might still be a solution to the cuspy halo problem if they decay to neutral dark matter but a fine-tuning is required. We also discuss the case where CHAMPs do not populate a spherical halo. ", "introduction": "Massive particles with integer electric charge (CHAMPs), denoted here by $X$, were considered as dark matter candidates in the late eighties (De R\\'ujula et al.~1990; Dimopoulos et al.~1990; Gould et al.~1990; Chivukula et al.~1990). Although stable CHAMPs are predicted in some extensions of the standard model, astrophysical constraints plus bounds from underground detectors, from balloon experiments and the lack of detection of anomalous hydrogen in the sea water, basically rule out CHAMPs as dark matter (see Perl et al.~2001 and Taoso et al.~2008). In particular, the non-detection of heavy water in the sea excludes CHAMPs with masses between $10$ and $10^{4}$ TeV (Verlerk et al.~1992). All the above constraints were derived for the standard flux of particles at Earth from the Galactic halo. If magnetic fields prevent the flux of CHAMPs to penetrate the Galactic disk, one must reevaluate earlier bounds (Chuzhoy \\& Kolb 2008). Essentially all $X^{-}$ should have bound to protons, forming neutraCHAMPs, which decouple from the photon-baryon fluid and drive structure formation prior to recombination. NeutraCHAMPs reach Earth unimpeded. Searches for neutraCHAMPs in cosmic rays rule out particles with masses between $100$ and a few $10^{4}$ TeV (Barwick et al.~1990). Nevertheless, heavy-water searches, cosmic rays searches, and constraints from overproduction of $^{6}$Li (Berger et al.~2008) are only relevant if CHAMPs are singly charged, because for other charges, a CHAMP no longer behaves like a proton. If a significant fraction of the mass of halos is made up by CHAMPs, it may have a strong impact on the observable Universe (e.g., Chuzhoy \\& Kolb 2008). It is therefore important to constrain the abundance of CHAMPs in galactic halos. After revising Galactic requirements for CHAMPs to be absent in the Galactic disk, we give an upper limit on the abundance of CHAMPs in the Galactic halo. ", "conclusions": "Whilst the common wisdom holds that dark matter is neutral and collisionless, it is important to explore the possibility of it having nonzero, not necessarily integer, charge. We have considered the pressure support of CHAMPs in our Galaxy to derive a simple, upper limit on the fraction of CHAMPs and milliCHAMPs, $f\\lesssim (2-7)\\times 10^{-3}$. If $f$ was roughly constant over time, this constraint rules out CHAMPs as the origin of the cores in LSB and dwarf galaxies. In the range of astrophysical interest, CHAMPs behave like strongly interacting (fluid-like) dark matter (SIDM). Thus, they face many of the problems attributed to SIDM. As some examples, we have discussed the survival of the Magellanic Stream and the mass distribution of the Bullet Cluster. Our constraint that the mass in CHAMPs in the Galaxy is not larger than the mass of coronal gas in the halo seems to apply also to galaxy clusters." }, "0812/0812.0042_arXiv.txt": { "abstract": "{Waves connect all the layers of the Sun, from its interior to the upper atmosphere. It is becoming clear now the important role of magnetic field on the wave propagation. Magnetic field modifies propagation speed of waves, thus affecting the conclusions of helioseismological studies. It can change the direction of the wave propagation, help channeling them straight up to the corona, extending the dynamic and magnetic couplings between all the layers. Modern instruments provide measurements of complex patterns of oscillations in solar active regions and of tiny effects such as temporal oscillations of the magnetic field. The physics of oscillations in a variety of magnetic structures of the Sun is similar to that of pulsations of stars that posses strong magnetic fields, such as roAp stars. All these arguments point toward a need of systematic self-consistent modeling of waves in magnetic structures that is able to take into account the complexity of the magnetic field configurations. In this paper, we describe simulations of this kind, summarize our recent findings and bring together results from the theory and observations.} ", "introduction": "Any turbulent medium, as the interior of the Sun or stars, generates sound. The basics of the theory excitation of sound waves by the turbulent flow were developed by Lighthill in 1952 \\cite{Lighthill1952}. Since then, a vast amount of theoretical and numerical efforts has been dedicated to specify the properties of the spectrum of sound waves generated in a stratified stellar convection zone, by improving the description of the turbulent energy spectrum of the convective elements \\eg\\ \\cite{Bi+Li1998, Goldreich+Kumar1990, Goldreich+Murray+Kumar1994, Musielak+etal1994, Nordlund+Stein2001, Stein1967, Stein+Nordlund2001}. Without going into details of these works, the present knowledge can be summarized in the following way. The efficiency of the energy conversion from convective to acoustic is proportional to a high power of the Mach number of the convective motions ($M^{15/2}$ \\cite{Goldreich+Kumar1990}). Most of the energy going into the $p$-modes, $f$-modes and propagating acoustic waves is emitted by convective eddies of size $h \\sim M^{3/2}H$ (where $H$ is the value of the pressure scale height), at frequencies close to the acoustic cut-off frequency $ \\omega \\sim \\omega_c$ and wavelengths similar to $H$. This defines the frequency dependence of the oscillation spectrum observed in the Sun and stars \\cite{Goldreich+Kumar1990}. Since the Mach number is largest at the top part of the convection zone, the peak of the acoustic energy generation is located immediately below the photosphere \\cite{Nordlund+Stein2001, Stein+Nordlund2001}. Recent numerical simulations of magneto-convection have shown that the magnetic field modifies the spectrum of waves \\cite{Jacoutot+etal2008}. Apart from the power suppression in regions with enhanced magnetic field, these simulations suggest an increase of high-frequency power (above 5 mHz) for intermediate magnetic field strengths (of the order of 300--600 G) caused by changes of the spatial-temporal spectrum of turbulent convection in a magnetic field. Waves generated in the convection zone resonate inside a cavity formed by the stellar interior and the photosphere and are used by helio- and astroseismology to derive its properties \\cite{Deubner1975, Ulrich1970}. The information contained in the frequencies of the trapped wave modes is used by the classical helioseismology. A relatively newer branch called local helioseismology uses the information contained in the velocity amplitudes of the propagating waves measured in a region of interest on the solar surface (Duvall \\etal\\ \\cite{Duvall+etal1993}). By inversion of these measurements, variations of the wave speed and velocities of mass flows can be recovered below the visible solar surface. The inversion results have been obtained for quiet Sun regions as well as for magnetic active regions including sunspots. It is known that sunspots possess strong magnetic fields with a complicated structure in the visible layers of the Sun where the Doppler measurements used by local helioseismology are taken \\cite{Solanki2003}. Consequently, such magnetic field can cause important effects on helioseismic waves, beyond the perturbation theories employed for helioseismic data analysis \\cite{Birch+Kosovichev2000, Gizon+Birch2002, Kosovichev+Duvall1997}. Recent numerical and analytical results demonstrate that the observed time-distance helioseismology signals in sunspot regions correspond to fast MHD waves \\cite{Khomenko+etal2008b, Moradi+etal2008}. An estimation of the acoustic energy flux generated in the solar convection zone by the turbulent motions suggests that the it can be as large as, \\eg\\ $F_A = 5 \\times 10^7$ ergs/cm$^2$/s \\cite{Musielak+etal1994}. This is more than sufficient to maintain a hot chromosphere. It made the theory of acoustic heating of the upper atmosphere very attractive. However, soon after being proposed, the theory of acoustic heating encountered several major difficulties. It was found that both, low- and high-frequency waves are radiatively damped in the photosphere, reaching the upper layers with significantly less power \\cite{Ulmschneider1971}. An additional difficulty comes from the fact that the measured high-frequency acoustic fluxes in the photosphere and chromosphere are uncertain and non-conclusive \\cite{Kalkofen2007, Wunnenberg+etal2002}. Low-frequency acoustic waves are reflected in the photosphere due to the effects of the cut-off frequency ( $\\sim 4$ mHz) before reaching chromospheric heights. Due to their long wavelengths they have too large shock formation distances. Despite that, the five-minute waves with enough energy were detected in the chromosphere and corona of the Sun mainly above solar facular and network areas \\cite{Centeno+etal2006b, Krijer+etal2001, DeMoortel+etal2002, DePontieu+etal2003, Veccio+etal2007}. Several explanations of these waves involving the magnetic field have been recently proposed \\cite{Khomenko+etal2008, DePontieu+etal2004}. The wave energy can reach the upper layers not necessarily in the form of acoustic waves, but also in the form of other wave types, like magneto-acoustic waves, Alfv\\'en waves or a family of waves propagating in thin magnetic flux tubes (see a recent example in \\eg\\ \\cite{Hindman+Jain2008}). All of them are related to the magnetic field structure. Osterbrock in 1961 \\cite{Osterbrock1961} was the first to incorporate magnetic field into the theory of wave heating and to point out its importance on the propagation and refraction characteristics of the fast and slow MHD waves. The above examples are only a few where the influence of the magnetic field on the wave properties is demonstrated to be important. Magnetic field not only changes the acoustic excitation rate and produces new wave modes. It also modifies the wave propagation paths and the direction of the energy propagation, it produces wave refraction and changes the reflection characteristics at the near-surface layers. Magnetic field defines the wave propagation speeds and changes the acoustic cut-off frequency. It can also change the wave dissipation rates and provides an additional energy source. Magnetic field connects all the atmospheric layers facilitating the channeling of waves from the lower to the upper atmosphere. This makes the magnetic field an important ingredient the theories of the wave propagation in the atmospheres of the Sun and stars. Apart from the problems set by the local helioseismology in magnetic regions and the wave heating theory, of pure physical interest is the interpretation of oscillations observed in different magnetic structures in terms of MHD waves. For example, the wave dynamics seen in high-resolution DOT movies of a sunspot region \\cite{Rouppe+etal2003} demonstrate that phenomena such as chromospheric umbral flashes and running penumbral waves are closely related. What type of waves are responsible for them? Solar small-scale and large-scale magnetic structures have distinct magnetic and thermal properties and support different wave types. The observed frequency spectrum of waves in these structures is not the same (see the introduction in \\cite{Khomenko+Collados2007}). Numerical simulations of waves in non-trivial magnetic structures (\\eg\\ \\cite{Bogdan+etal2003, Hasan+Ballegooijen2008, Hasan+etal2005, Khomenko+Collados2006, Khomenko+Collados2007, Rosenthal+etal2002}) have shown the complex pattern formed by waves of various types that can propagate simultaneously in various directions. Different wave modes can be detected in observations depending on the magnetic field configuration and the height where acoustic speed, $c_S$, and Alfv\\'en speed, $v_A$, are equal relative to the height of formation of the spectral lines used in observations. During the last years we applied efforts to develop a numerical code aimed at calculating the non-linear wave propagation inside magnetic fields in 2 and 3 dimensions. Using this code we focused our analysis on several problems described above, namely: magneto-acoustic wave propagation and refraction in sunspots and flux tubes; channeling the five-minute photospheric oscillations into the solar outer atmosphere through small-scale magnetic flux tubes; influence of the magnetic field on local helioseismology measurements in active regions. The results of these studies are published in \\cite{Khomenko+etal2008, Khomenko+Collados2006, Khomenko+Collados2007, Khomenko+etal2008b}. In the rest of the paper we briefly summarize the results and conclusions of these works. In addition, the last section gives our recent contribution to the problem of the interpretation of observations of waves in magnetic roAp stars. \\begin{figure*} \\includegraphics[width=12cm]{plen_talk_khomenko_fig1.eps} \\caption{Variations of the velocity, magnetic field and pressure at an elapsed time $t=100$ sec after the beginning of the simulations. In each panel, the horizontal axis is the radial distance $X$ from the sunspot axis and the vertical axis is height from the photospheric level. The black inclined lines are magnetic field lines. The two more horizontal lines are contours of constant $c_S^2/v_A^2$, the thick line corresponding to $v_A=c_S$ and the thin line to $c_S^2/v_A^2=0.1$. Top left: transversal variations of the magnetic field. Top right: relative pressure variations. Bottom panels: transversal and longitudinal variations of the velocity. \\label{fig:long}} \\end{figure*} ", "conclusions": "" }, "0812/0812.1791_arXiv.txt": { "abstract": "We formulate the problem of the formation and subsequent evolution of fragments (or cores) in magnetically-supported, self-gravitating molecular clouds in two spatial dimensions. The six-fluid (neutrals, electrons, molecular and atomic ions, positively-charged, negatively-charged, and neutral grains) physical system is governed by the radiative, nonideal magnetohydrodynamic (RMHD) equations. The magnetic flux is not assumed to be frozen in any of the charged species. Its evolution is determined by a newly-derived generalized Ohm's law, which accounts for the contributions of both elastic and inelastic collisions to ambipolar diffusion and Ohmic dissipation. The species abundances are calculated using an extensive chemical-equilibrium network. Both MRN and uniform grain size distributions are considered. The thermal evolution of the protostellar core and its effect on the dynamics are followed by employing the grey flux-limited diffusion approximation. Realistic temperature-dependent grain opacities are used that account for a variety of grain compositions. We have augmented the publicly-available Zeus-MP code to take into consideration all these effects and have modified several of its algorithms to improve convergence, accuracy and efficiency. Results of magnetic star formation simulations that accurately track the evolution of a protostellar fragment from a density $\\simeq 10^{3}$ cm$^{-3}$ to a density $\\simeq 10^{15}$ cm$^{-3}$, while rigorously accounting for both nonideal MHD processes and radiative transfer, are presented in a separate paper. ", "introduction": "\\label{section:intro} The formulation of a theory of star formation is a formidable task. It requires understanding of the nonlinear interactions among self-gravity, magnetic fields, rotation, chemistry (including grain effects), turbulence, and radiation. Stars form in fragments within interstellar molecular clouds, which have sizes ranging from 1 to 5 pc, masses from a few tens to $10^5$ M$_\\odot$, mean densities $\\simeq 10^3$ cm$^{-3}$, and temperatures $\\simeq 10$ K \\citep{myers85,heiles87}. Their spectral lines have Doppler-broadened linewidths that suggest supersonic (but subAlfv\\'{e}nic) internal motions. In the deep interiors of such clouds, high-energy cosmic rays ($>100$ MeV) maintain a degree of ionization $x_{\\rm i} \\lesssim 10^{-7}$, whereas ultraviolet (UV) ionization is responsible for a much greater degree of ionization $x_{\\rm i}\\gtrsim 10^{-5}$ in the outer envelopes. \\subsection{Magnetic Fields and Star Formation} The possible importance of magnetic fields to the support of interstellar clouds and to the regulation of star formation was first studied by \\citet{cf53}, \\citet{ms56}, and \\citet{mestel65} using the virial theorem. Similar investigations by \\citet{strittmatter66a,strittmatter66b} and \\citet{spitzer68} followed. \\citet{mestel66} calculated the magnetic forces on a spherically-symmetric, gravitationally-bound cloud. Self-consistent calculations by \\citet{mouschovias76a,mouschovias76b} produced exact equilibria of initially uniform, isothermal, magnetic clouds embedded in a hot and tenuous, electrically-conducting external medium. \\citet{ms76} used these equilibrium states to find the critical mass-to-flux ratio $(M/\\Phi_{\\rm B})_{\\rm cr} = 1/(63G)^{1/2}$ that must be exceeded for collapse against the magnetic forces to set in. \\citet{sb80} performed numerical simulations of the collapse of a supercritical (as a whole) magnetic cloud. A picture of molecular clouds emerged in which magnetic fields play a central role in their support and evolution \\citep{mouschovias78}. To this date, magnetic braking remains the only mechanism that has been shown quantitatively to resolve the most significant dynamical problem of star formation, namely, the angular momentum problem (Mouschovias \\& Paleologou 1979, 1980; see also summary below). Subsequent observations lent credence to this picture by revealing the importance of magnetic fields through both dust polarization measurements and Zeeman observations. Polarization studies have exhibited large-scale ordered magnetic fields connecting protostellar cores to their surrounding envelopes \\citep{vct81,hvsssgs87,nghpd89,nddgh97,lcgr01,lgc03,cnwtk04,afg08}, often with an hourglass morphology \\citep{schleuning98,hddsv99,gcr99,svhdndd00,lcgr02,cc06,grm06}, as predicted by the theoretical calculations \\citep{mouschovias76b,fm93}. A large body of Zeeman observations \\citep{ck83,kc86,tck86,ctk87,gchmt89,ctghkm93,cmtc94,crmt96,tcghkm96, crtg99,ctlpk99,crutcher99,hc05,ccw05} revealed magnetic fields in the range $\\simeq \\, 10 - 200 \\, \\mu$G in molecular clouds, from small isolated ones to massive star-forming ones. These values are more than sufficient to establish the importance of magnetic fields in molecular cloud dynamics. It was recognized early on (e.g., see Babcock \\& Cowling 1953, p. 373) that the magnetic flux of an interstellar blob of mass comparable to a stellar mass is typically several orders of magnitude greater than that of magnetic young stars. This is the so-called ``magnetic flux problem\" of star formation. It lies in the fact that substantial flux loss must take place at some stage during star formation. Ambipolar diffusion (the relative motion between plasma and neutrals) was first proposed by \\citet{ms56} as a means by which an interstellar cloud as a whole would reduce its magnetic flux and thereby collapse. \\citet{pm65} undertook a detailed calculation of the collapse of such (spherical) cloud. \\citet{spitzer68} calculated the ambipolar-diffusion timescale by assuming that the magnetic force on the ions is balanced by the (self-)gravitational force on the neutrals. \\citet{nakano79} followed the quasistatic contraction of a cloud due to ambipolar diffusion using a sequence of Mouschovias' (1976b) equilibrium states, each one of which had a smaller magnetic flux than the previous one. A new solution for ambipolar diffusion by \\citet{mouschovias79} showed that the essence of this process is a redistribution of mass in the central flux tubes of a molecular cloud, rather than a loss of magnetic flux by the cloud as a whole. He found the ambipolar-diffusion timescale to be typically three orders of magnitude smaller in the interior of a cloud than in the outermost envelope, where there is a much better coupling between neutral particles and the magnetic field because of the much greater degree of ionization. This suggested naturally a self-initiated fragmentation of (or core formation in) molecular clouds on the ambipolar-diffusion timescale \\begin{equation*} \\tau_{\\rm AD}=1.8\\times 10^6\\,\\left(\\frac{x_{\\rm i}}{10^{-7}}\\right)\\;{\\rm yr}\\, \\end{equation*} (Mouschovias 1979, eq. [37]). The inefficiency of star formation was thereby attributed to the self-initiated formation and contraction of molecular cloud fragments (or cores) due to ambipolar diffusion in otherwise magnetically supported clouds \\citep{mouschovias76b,mouschovias77,mouschovias78,mouschovias79}. The {\\em central} mass-to-flux ratio eventually exceeds its critical value for collapse, \\begin{equation*} \\left(\\frac{dm}{d\\Phi_{\\rm B}}\\right)_{\\rm c,cr} = \\frac{3}{2}\\left(\\frac{M}{\\Phi_{\\rm B}}\\right)_{\\rm cr}\\,, \\end{equation*} (see Mouschovias 1976a, eq. [44]), and dynamic contraction ensues. Detailed numerical calculations in slab \\citep{pm83,mpf85}, cylindrical \\citep{mm91,mm92a,mm92b}, and axisymmetric geometries \\citep{fm92,fm93,cm93,cm94,cm95,bm94,bm95a,bm95b,ck98,dm01,tm05a,tm05b,tm07a,tm07b,tm07c} transformed this scenario of star formation into a theory with predictive power. \\subsection{Rotation} During the early, isothermal phase of star formation, a cloud (or a fragment) must also lose a large fraction of its angular momentum (e.g., see Spitzer 1968, p. 231). Observations show that molecular clouds and embedded fragments (or cores) rarely exhibit rotation significantly greater than that of the background medium \\citep{ga85}. If angular momentum were conserved from the initial galactic rotation (i.e., starting from angular velocity $\\Omega_0\\simeq 10^{-15}$ s$^{-1}$ at the mean density of the interstellar medium $\\simeq 1$ cm$^{-3}$), centrifugal forces would not allow even the formation of interstellar clouds (Mouschovias 1991, \\S~2). Fragmentation does not alter this conclusion (Mouschovias 1977, \\S~1). This is referred to as the ``angular momentum problem\" of star formation. As far as clouds and their cores are concerned, the angular momentum problem has been shown to be resolved by magnetic braking (i.e., the transport of angular momentum from a fragment to its surrounding medium through the propagation of torsional Alfv\\'{e}n waves along magnetic field lines connecting the fragment to the cloud envelope) analytically by \\citet{mp79,mp80} and numerically by \\citet{bm94,bm95a,bm95b} and \\citet{ml08}. Hence the centrifugal forces resulting from the cloud's or core's rotation have a negligible effect on the evolution of the contracting core, at least up to central densities of $\\approx 10^{14}$ cm$^{-3}$ (see the last paragraph of Tassis \\& Mouschovias 2007b). \\subsection{Grain Effects} Interstellar grains comprise about 1\\% of the mass in the interstellar medium \\citep{spitzer78}. \\citet{baker79} and \\citet{elmegreen79} suggested that charged grains may couple to the magnetic field and thereby play a role in ambipolar diffusion and star formation. \\citet{elmegreen79} and \\citet{nu80} compared and ambipolar-diffusion timescale and the free-fall timescale and concluded that ambipolar diffusion occurs over too long a timescale (roughly 10 times greater than free-fall) to be a relevant process in star formation. Refinements by the same authors \\citep{elmegreen86,un90,nnu91} led to similar conclusions. Through detailed numerical simulations of core formation and evolution including the effects of (negative and neutral) dust grains, \\citet{cm93,cm94} found that grains lengthen the timescale for the formation of a core because of grain-neutral collisions, but cautioned that the ambipolar-diffusion timescale should not be compared to the free-fall timescale in determining its relevance in magnetically-supported clouds, as originally pointed out by \\citet{mouschovias77}, because molecular clouds are not free-falling. Velocities characteristic of such collapse have not been observed. \\citet{cm95} extended these calculations by including UV ionization and a variety of atomic metal ions (C$^+$, S$^+$, Si$^+$, Mg$^+$, Na$^+$, Fe$^+$). Attention was also paid to the complementary effect of protostellar evolution on the microscopic physics and chemistry \\citep{cm96,cm98}. \\subsection{MHD Waves and/or Turbulence} The extent to which turbulence (or waves) may or may not affect the evolution of a protostellar fragment has been a topic of debate for several decades, receiving increased attention in recent years \\citep{mlk04,mtk06}. A consensus has yet to be reached concerning even what causes and maintains the observed broad linewidths long thought to be indicative of supersonic turbulence \\citep{ze74,am75,larson81,zj83,mouschovias87,mp95,mg99,es04,mtk06}, although \\citet{mp95} and \\citet{mtk06} showed quantitatively that observations contradict the key assumption of turbulence simulations, namely, that molecular clouds are magnetically supercritical by a factor $4 - 10$. Despite a lack of agreement on the origin of the linewidths, analytical \\citep{mouschovias91} and numerical calculations (Eng 2002; Eng \\& Mouschovias 2009, in preparation) have demonstrated that turbulence (or waves) plays an insignificant role in the star formation process once dynamical contraction of a fragment (or core) ensues. Observations showing narrowing and eventual thermalization of linewidths in protostellar cores \\citep{bpddc81,mb83,mlb83,bapabwt00} are in agreement with this conclusion and with an earlier version of it \\citep{mouschovias87}. \\subsection{Radiative Transfer} During the early phases of star formation the energy produced by compressional heating is radiated away by the dust grains in the infrared. At higher densities ($\\simeq 10^{11}$ cm$^{-3}$), the core traps and retains part of this heat and its temperature begins to rise. The evolution of the temperature in this nonisothermal regime may be approximated (but substantially overestimated) by using an adiabatic equation of state \\citep{boss81,dm01,tm07a,tm07b,tm07c}. More realistic equations of state have also been employed by, for example, \\citet{bate98}. To accurately model the nonisothermal phase of protostellar contraction, however, one needs to include a proper treatment of radiative transfer. Early efforts to include radiative transfer in (nonmagnetic) star formation calculations were confined to the use of the diffusion approximation \\citep{bodenheimer68,larson69,larson72,bb75,bb76,tscharnuter75,yk77}. While the diffusion approximation is strictly applicable only to optically thick regions, its ease of implementation and relatively low computational cost make it an attractive choice. The Eddington approximation offers a slight improvement in that it retains some of the rigor of using moments of the radiative transfer equation, while making the simplifying assumption that the radiation field is everywhere isotropic. Its use in numerical calculations of (nonmagnetic) star formation has been documented in \\citet{tscharnuter78}, \\citet{tw79}, \\citet{wn80a,wn80b}, \\citet{boss84,boss86,boss88}, and \\citet{bm95}. By implicitly assuming that photons always travel a distance comparable to their mean-free path (even if this distance exceeds the free-flight distance $c\\Delta t$, where $\\Delta t$ is the computational timestep), the Eddington approximation gives unphysical behavior in optically thin regions, in which the mean-free-path is huge. The result is a signal speed unbound by the speed of light, i.e., it violates causality (e.g., see \\S~97 of Mihalas \\& Mihalas 1984). Increasing the accuracy and realism of a radiative transfer algorithm often requires making limiting assumptions about the hydrodynamics in order to make the problem tractable (e.g., Yorke 1980; Masunaga et al. 1998). A full frequency- and angle-dependent treatment of the radiation is nearly always confined to postprocessing the results of a hydrodynamic calculation \\citep{yorke77,ys81,as85,as86} or a grey (i.e., independent of frequency) radiation hydrodynamic calculation \\citep{by90,byrt90}. By contrast, the flux-limited diffusion (FLD) approximation \\citep{lp81} is a propitious compromise that retains some of the advantages of the diffusion and Eddington approximations, while preserving causality and coupling self-consistently to the hydrodynamic equations. \\subsection{Outline} In this paper we formulate the problem of the formation and evolution of protostellar fragments (or cores) in magnetically-supported, self-gravitating molecular clouds, including the effects of both ambipolar diffusion and Ohmic dissipation (which becomes important at high densities), grain chemistry and dynamics, and radiation. Using the results of Eng (2002) and Eng \\& Mouschovias (2009, in preparation), and \\citet{bm94}, we may safely ignore the effects of turbulence and rotation, respectively, on the evolution of the protostellar core for the densities considered here. The physical and chemical properties of the model cloud are summarized in Section \\ref{section:modelcloud}. The radiation magnetohydrodynamic (RMHD) equations governing the evolution of the model cloud are presented and discussed in Section \\ref{section:equations}. In Section \\ref{section:chem} we present the chemical model used in the calculations. The physics of magnetic diffusion (ambipolar and ohmic) is handled by using a generalized Ohm's law, which is derived in Section \\ref{section:fluxloss}. We treat the radiative transfer using the grey FLD approximation, with realistic grain opacities accounting for a variety of grain compositions (\\S~\\ref{section:radtrans}). The numerical method of solution is discussed in Section \\ref{section:zeusmp}. Finally, we give the simplified set of equations and a brief summary in Section \\ref{section:summary}. Details, mostly mathematical, are left for the Appendix. Results are presented in a separate paper (Kunz \\& Mouschovias 2009, in preparation). ", "conclusions": "\\label{section:summary} We have formulated the problem of the formation and evolution of fragments (or cores) in magnetically-supported, self-gravitating molecular clouds in two spatial dimensions. The evolution is governed by the six-fluid RMHD equations. The magnetic flux is not assumed to be frozen in any of the charged species. Its evolution is determined by a newly-derived generalized Ohm's law, which accounts for the contributions of both elastic and inelastic collisions to ambipolar diffusion and Ohmic dissipation. The species abundances (electrons, atomic and molecular ions, positively-charged grains, negatively-charged grains, and neutral grains) are calculated using an extensive equilibrium chemical network. Both MRN and uniform grain size distributions are considered. The thermal evolution of the protostellar core and its effect on the dynamics are followed by employing the grey FLD approximation. Realistic temperature-dependent grain opacities are used that account for a variety of grain compositions. We have augmented the publicly-available Zeus-MP code to take into consideration all these effects and have modified several of its algorithms to increase its accuracy and efficiency. We summarize here for convenience the simplified evolutionary equations discussed above and used in our modified version of the Zeus-MP code: \\begin{subequations} \\begin{equation} \\D{t}{\\dr{n}} + \\del\\bcdot(\\dr{n}\\vv{n}) = 0\\,, \\end{equation} \\begin{equation} \\D{t}{\\dr{g}} + \\del\\bcdot(\\dr{g}\\vv{n}) = -\\del\\bcdot\\bigl(\\eta_{\\rm cont,H}\\bb{j}\\btimes\\eb\\bigr)\\,, \\end{equation} \\begin{equation} \\D{t}{(\\dr{n}\\vv{n})} + \\del\\bcdot(\\dr{n}\\vv{n}\\vv{n}) = -\\del P_{\\rm n} -\\rho\\del\\psi + \\frac{1}{4\\pi}(\\del\\btimes\\bb{B})\\btimes\\bb{B} - \\lambda_{\\rm FLD}\\del\\mc{E}\\,, \\end{equation} \\begin{equation} \\D{t}{\\bb{B}} = \\del\\btimes\\left(\\vv{n}\\btimes\\bb{B} - \\frac{c^2\\eta_\\perp}{4\\pi}\\del\\btimes\\bb{B}\\right)\\,, \\end{equation} \\begin{equation} \\del^2\\psi = 4\\pi G\\dr{n}\\,, \\end{equation} \\begin{equation} \\D{t}{\\inteng} + \\del\\bcdot(\\inteng\\vv{n}) = -P_{\\rm n}\\del\\bcdot\\vv{n} - 4\\pi\\kappap\\mc{B} + c\\kappap\\mc{E}\\,, \\end{equation} \\begin{equation} \\D{t}{\\mc{E}} + \\del\\bcdot(\\mc{E}\\vv{n}) = \\del\\bcdot\\left(\\frac{c\\lambda_{\\rm FLD}}{\\chir}\\del\\mc{E}\\right) - \\del\\vv{n}\\,\\bb{:}\\,\\msb{P} + 4\\pi\\kappap\\mc{B} - c\\kappap\\mc{E}\\,. \\end{equation} \\end{subequations} These equations are considered together with the relations $P_{\\rm n}=(\\gamma-1)\\inteng$ and $\\msb{P}=\\msb{f}\\mc{E}$. Results will be presented in a forthcoming paper (Kunz \\& Mouschovias 2009, in preparation)." }, "0812/0812.3277_arXiv.txt": { "abstract": "Since the suggestion of relativistic shocks as the origin of gamma-ray bursts (GRBs) in early 90's, the mathematical formulation of this process has stayed at phenomenological level. One of the reasons for the slow development of theoretical works has been the simple power-law behaviour of the afterglows hours or days after the prompt gamma-ray emission. It was believed that they could be explained with these formulations. Nowadays with the launch of the \\swift satellite and implementation of robotic ground follow-ups, gamma-ray bursts and their afterglow can be observed in multi-wavelength from a few tens of seconds after trigger onward. These observations have leaded to the discovery of features unexplainable by the simple formulation of the shocks and emission processes used up to now. Some of these features can be inherent to the nature and activities of the GRBs central engines which are not yet well understood. On the other hand {\\bf\\it devil is in details} and others may be explained with a more detailed formulation of these phenomena and without adhoc addition of new processes. Such a formulation is the goal of this work. We present a consistent formulation of the kinematic and dynamics of the collision between two spherical relativistic shells, their energy dissipation, and their coalescence. It can be applied to both internal and external shocks. Notably, we propose two phenomenological models for the evolution of the emitting region during the collision. One of these models is more suitable for the prompt/internal shocks and late external shocks, and the other for the afterglow/external collisions as well as the onset of internal shocks. We calculate a number of observables such as flux, lag between energy bands, and hardness ratios. One of our aims has been a formulation enough complex to include the essential processes, but enough simple such that the data can be directly compared with the theory to extract the value and evolution of physical quantities. To accomplish this goal, we also suggest a procedure for extracting parameters of the model from data. In a following paper we numerically calculate the evolution of some simulated models and compare their features with the properties of the observed gamma-ray bursts. ", "introduction": "\\label{sec:intro} The \\swift~\\citep{swift} observations of more than 200 Gamma-Ray Bursts (GRBs) and their follow-ups have been a revolution in our knowledge and understanding of these elusive phenomena. The rapid slew of the \\swift X-ray and UV/optical telescopes - respectively XRT~\\citep{xrt} and UVOT~\\citep{uvot} - as well as ground based robotic telescopes have permitted to observe GRBs and their afterglow in multi-wavelength from few tens of seconds after the prompt or precursor gamma-ray emission is detected by BAT~\\citep{bat}, up to days after trigger. These observations show that the emission can be essentially divided to three regimes: 1) The prompt gamma-ray emission which can be very short, few tenth of milliseconds, or long, up to few hundred of seconds; 2) A tail emission in X-ray which is observed for more than $90\\%$ of bursts. For some bursts this tail is also detected as a soft faint continuum in gamma-ray. In about $40\\%$ of bursts this early emission has been detected in optical and infrared too. In this regime for many bursts flares have been observed mainly in X-ray. Sometimes the counterpart of flares have been also observed in gamma-ray and/or optical/IR. In many bursts the early steep slope of the X-ray emission at the beginning of this regime becomes much shallower and somehow harder at the end; 3) The late emission can be considered as the epoch after the break of shallow regime in which the emission is usually a continuum and no or little flaring activity is observed (but there are exceptions such as GRB 070110~\\citep{grb070110} and GRB 081028~\\citep{grb081028} which had bright late flares). The duration and relative fluxes of these regimes can vary significantly between GRBs. In one hand, it seems that the idea of synchrotron emission from accelerated particles in a relativistic shock as the origin of the prompt emission~\\citep{intext,intext1} is essentially correct. On the other hand, the early observations of what is usually called {\\it the afterglow} - the emission in lower energy bands usually observed from $\\lesssim 100$~sec after trigger onward - have been the source of surprises and raised a number of questions about many issues: the activity~\\citep{longact} and the nature of the engine~\\citep{progenitor,progenitor1,progenitorshort}, the concept of prompt/internal-afterglow/external shocks~\\citep{promptext}, the efficiency of energy transfer from the outflow -{\\it the fireball} - to synchrotron radiation~\\citep{enereff}, the collimation and jet break~\\citep{jetbreakex}, the behaviour of X-ray and optical light curves~\\citep{optag}, etc. Many of predictions such as the existence of a significant high latitude emission with a strict relation between the light curve time evolution slope and the spectrum index, and an achromatic jet break have not been observed. Moreover, the origin of unexpected behaviours such as a very steep decline in low energy bands after the prompt~\\citep{tailhighlat} and a very shallow regime which lasts for thousands of seconds are not well understood. Other unexpected observations are the existence of the chromatic multiple breaks in the X-ray light curves, flares in X-ray and optical bands hundred of seconds after the prompt even in some short bursts (ex: GRB 060313~\\citep{grb060313,grb060313-1}, GRB 070724A~\\citep{grb070724a}, a tail emission in short bursts (ex: GRB070714B~\\citep{grb070714b,grb070714b1}, GRB080426~\\citep{grb080426}, GRB 080503~\\citep{grb080503}), and very short, hard, and high amplitude spikes in long bursts that could lead to the classification of the burst as short if the instrument was not enough sensitive to detect the rest of the prompt emission (ex: GRB060614~\\citep{grb060614,swiftgrb060614}, GRB061006~\\citep{grb061006}). This makes the classification of bursts as short and long much more ambiguous~\\citep{grbnewclass}. One conclusion that has been made from these observations is that the central engine can be active for up to thousands of seconds after the prompt emission~\\citep{longact}. But the nature of the fireball and its source of energy is not yet well understood, and we can not yet verify this interpretation or relate it to any specific process in the engine. It seems however that whatever the origin of the fireball, it must be baryon dominated otherwise it could not make long term effects correlated to the prompt emission. In this case, the internal and external shock models as the origin of the prompt and afterglow are good candidates. Nonetheless, the lack of a simple explanation for the observed complexities has encouraged authors to consider other possibilities, for instance associating both the prompt gamma-ray and the afterglows to external shocks and fast variations to abrupt density variation of the surrounding material~\\citep{promptext}. However, it has been shown that in such models it is not possible to explain the fast variations of the prompt even in presence of a bubbly environment or pulse-like density change~\\citep{promptext,promptext1}. Here we suggest that at least some of the features of early afterglows can be related to a complex shock physics and/or features in the fireball/jet. In fact, simulations of the acceleration of electrons and positrons by the first and second Fermi processes show that the evolution of electric and magnetic fields as well as the energy distribution of accelerated particles are quite complex~\\citep{fermiacc,fermiacc1,fermiacc2}. Plasma instabilities lead to the formation of coherent electric and magnetic fields and acceleration of particles~\\citep{weibel,weibel1,weibeltemp,instabparal}. Their time evolution in relativistic shocks can significantly affect the behaviour of the prompt and the afterglow of GRBs. If the number density of particles in the ejecta is significant and the shock is collisional, the state of matter in the jet can be also an important factor in determining the behaviour of the fields, and thereby the synchrotron emission by accelerated electrons and positrons. Many aspects of these processes are not well understood, however realistic interpretations of observations should consider these complexities at least phenomenologically. For instance, the simple distributions such as a power-law distribution for Lorentz factor of electrons, or a constant magnetic field for the whole duration of prompt and afterglow can be quite unrealistic. Ideally, these quantities should come from the simulation of Fermi processes and plasma instabilities such as Weibel instability~\\citep{weibel,weibel1} that produces the coherent transverse magnetic field. However, these phenomena are complex and their simulations are very time and CPU consuming. For these reasons they can not yet explore the parameter space of the phenomena and are mostly useful for demonstrating the concepts and how they work. Therefore we are obliged to use simple analytical approximations for quantities related to the physics of relativistic shocks. In this situation a compromise between complex non-analytical expressions and too simplistic and too simplified but unrealistic analytical behaviour of the physical quantities can be the consideration of intervals in which a simple analytical function can be a good approximation. Then, by adding together these intervals - regimes - one can reconstruct the entire evolution of a burst and its afterglow. Even with a simplified presentation of the physical processes one would not be able to explain GRB data without a model including both microphysics and dynamics of the fireball. The majority of works on the modelling of shocks and synchrotron emissions either deal with the emission~\\citep{emission,emission0,emission1,revshock,revshocksimul} or with the kinematics of the shock~\\citep{kinematic,kinematic1,kinematic2}, or both but in a phenomenological way~\\citep{kinematic3}. Few works~\\citep{shocksynch,shocksynch1} have tried to include both these aspects in a consistent model, but either they have not been very successful - their predictions specially for quantities such as lags in different bands were far from observed values and additional parametrization was necessary - or the formulation is too abstract to be compared directly with data~\\citep{grbboltz,grbboltz1}. With these issues in mind, in Sec.\\ref{sec:model} we present a simplified shock model that includes both the kinematics of the ejecta and the dynamics of the synchrotron emission. The microphysics is included by the means of a simple parametrization. We calculate a number of observables such as flux, hardness ratios, and lags between different energy bands. In this paper and paper II in which we simulate part of prompt and afterglow regimes of GRBs in some time intervals, we show that this model can explain many aspects of bursts as long as we divide the data to separate regimes. The reason is that the simple parametrization of microphysics in this model can be valid at most in a limited time interval. Each regime should be separately compared to analytical and numerical results for extracting the parameters. The results will show how parameters that are considered as constant in this model evolve during the lifetime of the burst. This is the best we can do until a better understanding of relativistic shock models and Fermi processes become available. If the model and the estimation of its parameters for each regime is sufficiently correct, adding them together should give us an overall consistent picture of characteristics of the burst, its afterglow, and its surrounding material. Apriori this knowledge should help to better understand the engine activities and eventually its nature and classification. The model presented here depends on a large number of parameters and we need an extraction procedure permitting to extract as much as possible information about the physical properties of the shock from the available data. In Sec.\\ref{sec:extract} we explain how in the frame work of this model one can extract various quantities from data. Evidently the success of the modelling strongly depends on availability and quality of simultaneous multi-wavelength observations. The \\swift observations show that during the first few hundred seconds after the trigger there is usually a very close relation between the prompt gamma-ray emission and the emission in lower energy bands~\\citep{earlyemi, earlyemi1}, therefore, most probably they have a common origin, presumably internal shocks. However, historically and even in the present literature (and sometimes believes) any emission after the prompt gamma-ray is called {\\it the afterglow} - meaning due to a shock with ISM or surrounding material, presumably external shocks. Therefore, for clarity of context here we define {\\it the afterglow} as the emission in any energy band and at any time after the main prompt peaks regardless of its origin. If by {\\it afterglow} we mean the external shocks, this is mentioned explicitly in the text. We finish this paper with some outlines and two appendices containing the details of calculation of the dynamics and flux for power-law distribution of electrons Lorentz factor. ", "conclusions": "We presented a formulation of the relativistic shocks and synchrotron emission that includes more details than the dominant term considered in the previous calculations. Although we consider spherical shells, most of our results are valid also for non-spherical collimated jets as long as the collimation angle due to the relativistic boost is smaller than collimation angle. We showed that the lags between light curves at different energies exist in the dominant order and are not only due to the high latitude emissions which are negligible for ultra-relativistic ejecta. The main reason for such behaviour is the evolution of electric and magnetic fields as well as the evolution of the emitting region which can be in addition energy dependent. This fact is more evident in the simulations presented in Paper II. Despite the absence of high latitude terms in our simulations, the presence of lags between the light curves of different energy bands is evident. For the same reasons the change in the slope of the light curves - what is called breaks - are also energy dependent. This explains chromatic breaks of the GRBs detected by \\swift. The two phenomenological models we considered for the evolution of the active region are physically motivated, but do not have rigorous support from microphysics of the shock. Nonetheless, they can be easily replaced if future simulations of Fermi processes lead to a better estimation of the size of the region in which electric and magnetic fields are formed and particles are accelerated and dissipated. Presence of an external magnetic field in the environment of the candidates for central engine of GRBs is very plausible. The formulation present here does not include such a possibility, but an external magnetic field can be added to (\\ref{magener}). The modification of the evolution equation of $\\beta'$ and the flux is straightforward. Many other details such as the effect of metalicity of the ejecta and surrounding material both on the low energy emission and absorption is not considered in this work. We have also neglected synchrotron self-abortion. It only affects the low energy bands, nonetheless in hard bursts even optical emission can be affected by self absorption. We leave the study of this issue, the effect of ionization on the emissions, and the thermalization of shocked material to future works. \\appendix" }, "0812/0812.3749_arXiv.txt": { "abstract": "{The properties of the early-type binary \\object{Cyg\\,OB2 \\#5} have been debated for many years and spectroscopic and photometric investigations yielded conflicting results.}{We have attempted to constrain the physical properties of the binary by collecting new optical and X-ray observations.}{The optical light curves obtained with narrow-band continuum and line-bearing filters are analysed and compared. Optical spectra are used to map the location of the He\\,{\\sc ii} $\\lambda$\\,4686 and H$\\alpha$ line-emission regions in velocity space. New XMM-Newton as well as archive X-ray spectra are analysed to search for variability and constrain the properties of the hot plasma in this system.}{We find that the orbital period of the system slowly changes though we are unable to discriminate between several possible explanations of this trend. The best fit solution of the continuum light curve reveals a contact configuration with the secondary star being significantly brighter and hotter on its leading side facing the primary. The mean temperature of the secondary star turns out to be only slightly lower than that of the primary, whilst the bolometric luminosity ratio is found to be 3.1. The solution of the light curve yields a distance of $925 \\pm 25$\\,pc much lower than the usually assumed distance of the Cyg\\,OB2 association. Whilst we confirm the existence of episodes of higher X-ray fluxes, the data reveal no phase-locked modulation with the 6.6\\,day period of the eclipsing binary nor any clear relation between the X-ray flux and the 6.7\\,yr radio cycle.}{The bright region of the secondary star is probably heated by energy transfer in a common envelope in this contact binary system as well as by the collision with the primary's wind. The existence of a common photosphere probably also explains the odd mass-luminosity relation of the stars in this system. Most of the X-ray, non-thermal radio, and possibly $\\gamma$-ray emission of Cyg\\,OB2 \\#5 is likely to arise from the interaction of the combined wind of the eclipsing binary with at least one additional star of this multiple system.} ", "introduction": "} The eclipsing nature of Cyg\\,OB2 \\#5 (= V\\,729\\,Cyg = BD\\,$+40^{\\circ}$\\,4220) was first reported by Miczaika (\\cite{Miczaika}). Photometric data were subsequently published by Hall (\\cite{Hall}), who gathered 143 $UBV$ observations. Hall (\\cite{Hall}) noted the existence of intrinsic variability as well as a slight asymmetry in the light curve which made the system appear brighter during the maximum that followed the secondary eclipse. The light curve obtained by Hall (\\cite{Hall}) revealed unequal eclipse depths, thus suggesting that the primary should have a larger surface brightness than the secondary. From the analysis of a set of optical spectra, Bohannan \\& Conti (\\cite{BC}) concluded that the two components of Cyg\\,OB2 \\#5 should be of equal brightness, whilst they simultaneously inferred a mass ratio (primary/secondary) of $q = 4.3$. Therefore, the secondary star would appear to be far too luminous for its mass, and these authors suggested accordingly that the secondary might be an O-star on its way to becoming a Wolf-Rayet object. A re-analysis of the same spectra by Massey \\& Conti (\\cite{MC}) yielded a somewhat lower mass ratio of 3.3, but did not alter the basic conclusions of the Bohannan \\& Conti (\\cite{BC}) paper. Leung \\& Schneider (\\cite{LS}) analysed Hall's (\\cite{Hall}) $UBV$ light curve adopting the mass ratio proposed by Bohannan \\& Conti (\\cite{BC}). Their description of the system was that of an overcontact binary with the primary accounting for almost 90\\,\\% of the total light, unlike the almost equal luminosities inferred from the strengths of the He absorption lines (Bohannan \\& Conti \\cite{BC}). Whilst the luminosity difference of 2.1\\,mag inferred by Leung \\& Schneider (\\cite{LS}) is in qualitative agreement with a large mass ratio, it is clearly at odds with the strong spectral signature of the secondary in the spectrum of the binary. Vreux (\\cite{JMV}) studied the variations in the H$\\alpha$ emission line profile and suggested that the primary is currently losing material towards the secondary. This was interpreted as further evidence that the secondary star could be a Wolf-Rayet type object with an unusual spectrum produced by the accretion of the material. Rauw et al.\\ (\\cite{Rauw}) analysed an extensive set of optical spectra and presented a revised orbital solution along with a discussion about the phase-locked spectroscopic variability. The new orbital solution yielded a mass ratio of $q = 3.31 \\pm 0.25$ and revealed a large difference in the systemic velocities of the primary and the secondary (the latter having a more negative $\\gamma$). Based on the relative strengths of classification absorption lines, Rauw et al.\\ (\\cite{Rauw}) assigned an O6.5-7 spectral type to the primary and Ofpe/WN9 to the secondary. They also compared the strengths of the primary and secondary absorption lines to infer a visual brightness ratio of $1.4 \\pm 0.6$. The complex behaviour of the absorption lines (some of which go into emission during part of the orbit) prevents however a more accurate determination of this ratio. The radial velocities of the emission lines imply that the emissions most likely originate in material that is moving from the primary towards the secondary. Rauw et al.\\ (\\cite{Rauw}) also reported on variations in the equivalent width of the He\\,{\\sc ii} $\\lambda$\\,4686 emission line, which suggest an occultation effect of the emission zone in addition to the modulation of the continuum light curve due to the photometric eclipses. The variations in the line EW suggest that the emission arises from a region close to the secondary star, slightly preceding this star on its orbit. One of the main motivations of the present photometric campaign was to study this behaviour using a set of specially designed narrow-band photometric filters. Another goal of this paper is to study the variability of the X-ray emission of Cyg\\,OB2 \\#5. X-ray emission from this star was first discovered with the {\\it EINSTEIN} satellite in December 1978 during a calibration observation of Cyg\\,X-3 (Harnden et al.\\ \\cite{Harnden}). Since then, our target has been observed with many X-ray satellites, including {\\it ROSAT} (Waldron et al.\\ \\cite{Waldron}) and {\\it ASCA} (Kitamoto \\& Mukai \\cite{KM}). We conducted an observing campaign with {\\it XMM-Newton} to improve our knowledge of the X-ray emission of Cyg\\,OB2 \\#5. Finally, we emphasize that important information about this enigmatic system can be derived from the radio domain. Indeed, Miralles et al.\\ (\\cite{Miralles}) noted that the radio emission of Cyg\\,OB2 \\#5 alternates between a low state with a spectral index that is roughly consistent with thermal wind emission and a high state with a much flatter (partially non-thermal) spectral index on a $\\sim 7$\\,yr period. Abbott et al.\\ (\\cite{Abbott}) and Miralles et al.\\ (\\cite{Miralles}) reported on the existence of a radio companion 0.8\\,arcsec to the NE of the main radio source (which is associated with the eclipsing binary). Subsequent observations by Contreras et al.\\ (\\cite{Contreras}) revealed that this radio companion has an elongated shape and lies in-between the short-period binary and a third star\\footnote{The latter star is 3 -- 4\\,mag fainter than the binary system, and its colours and magnitude suggest a B0-B2\\,V spectral type. The angular separation between this astrometric companion and the close binary system suggests an orbital period of several thousand years.}, which was first reported by Herbig (\\cite{Herbig}). Contreras et al.\\ (\\cite{Contreras}) suggested accordingly that the radio companion corresponds to the wind interaction zone between the binary system and the tertiary component. Recently, Kennedy et al.\\ (\\cite{Kennedy}) re-analysed all VLA observations of Cyg\\,OB2 \\#5 and showed that the primary radio source, associated with the eclipsing binary varies on a period of $6.7 \\pm 0.2$\\,yr whilst the secondary source remains constant. The variations in the main radio component can be represented by a simple model in which a fourth (unresolved) object orbits the eclipsing binary in an eccentric orbit and the varying radio emission results from a variable non-thermal emission produced in the wind interaction between the short period binary and the fourth star (Kennedy et al.\\ \\cite{Kennedy}). ", "conclusions": "} Using optical narrow-band photometry and spectroscopy, we have shown that Cyg\\,OB2 \\#5 is in a contact configuration, which has allowed us to solve one of the oldest mysteries associated with this system, i.e.\\ the apparent discrepancy between its mass ratio and its luminosity ratio. The binary appears to be in a rather `normal' stage of (likely case-A) mass transfer in binary evolution. However, whilst we have made progress in understanding the system, there remain a number of major issues. The most important ones are: \\begin{itemize} \\item[$\\bullet$] New theoretical models need to be designed to simulate accurately the structure of a common envelope in an early-type, contact binary system. \\item[$\\bullet$] The origin of the period variations needs to be investigated by long-term photometric monitoring of the system. \\item[$\\bullet$] The origin of the X-ray emission in this system remains uncertain as is the cause of the variations in the radio emission (Kennedy et al.\\ \\cite{Kennedy}). The most likely explanations involve the existence of a fourth component in the system. However, to date no direct evidence that such a component exists has been obtained and again long term monitoring of the system is required. For instance, one needs to acquire optical spectroscopy to determine orbital solutions that sample the 6.7\\,yr cycle. \\item[$\\bullet$] And finally, the distance of Cyg\\,OB2 needs to be checked by studying more eclipsing binary systems in this important cluster. \\end{itemize} \\acknowledgement{We are grateful to the referee, Dr.\\ A.F.J.\\ Moffat for helpful comments, to Dr.\\ H.\\ Sana who took part in the 1998 OHP photometric observing campaign as well as to Dr.\\ S.\\ Dougherty and M.\\ Kennedy for sharing their results on the radio data of Cyg\\,OB2 \\#5 with us before publication. The Li\\`ege group acknowledges financial support from the FRS/FNRS (Belgium), as well as through the XMM and INTEGRAL PRODEX contract (Belspo). The travels to OHP were supported by the `Communaut\\'e Fran\\c caise' (Belgium). PE acknowledges support through CONACyT grant 67041.}" }, "0812/0812.0326_arXiv.txt": { "abstract": "We present spectral energy distribution modelling of 6875 stars in $\\omega$ Centauri, obtaining stellar luminosities and temperatures by fitting literature photometry to state-of-the-art {\\sc marcs} stellar models. By comparison to four different sets of isochrones, we provide a new distance estimate to the cluster of $4850 \\pm 200$ (random error) $\\pm 120$ (systematic error) pc, a reddening of $E(B-V) = 0.08 \\pm 0.02$ (random) $\\pm 0.02$ (systematic) mag and a \\emph{differential} reddening of $\\Delta E(B-V) < 0.02$ mag for an age of 12 Gyr. Several new post-early-AGB candidates are also found. Infra-red excesses of stars were used to measure total mass-loss rates for individual stars down to $\\sim 7 \\times 10^{-8}$ M$_\\odot$ yr$^{-1}$. We find a total dust mass-loss rate from the cluster of $1.3 \\pm ^{0.8}_{0.5} \\times 10^{-9}$ M$_\\odot$ yr$^{-1}$, with the total gas mass-loss rate being $> 1.2 \\pm ^{0.6}_{0.5} \\times 10^{-6}$ M$_\\odot$ yr$^{-1}$. Half of the cluster's dust production and 30\\% of its gas production comes from the two most extreme stars -- V6 and V42 -- for which we present new Gemini/T-ReCS mid-infrared spectroscopy, possibly showing that V42 has carbon-rich dust. The cluster's dust temperatures are found to be typically $\\gtsim$ 550 K. Mass loss apparently does not vary significantly with metallicity within the cluster, but shows some correlation with barium enhancement, which appears to occur in cooler stars, and especially on the anomalous RGB. Limits to outflow velocities, dust-to-gas ratios for the dusty objects and the possibility of short-timescale mass-loss variability are also discussed in the context of mass loss from low-metallicity stars. The ubiquity of dust around stars near the RGB-tip suggests significant dusty mass loss on the RGB; we estimate that typically 0.20--0.25 M$_\\odot$ of mass loss occurs on the RGB. From observational limits on intra-cluster material, we suggest the dust is being cleared on a timescale of $\\ltsim 10^5$ years. ", "introduction": "\\subsection{Mass loss and globular clusters} Galactic globular clusters (GCs) are unique stellar laboratories, containing roughly co-eval populations of stars at known distances, covering the range [Fe/H] $\\approx$ --2.3 to solar \\citep{Harris96}. They are ideal locations in which to probe the later stages of development of low-mass ($\\sim$0.8 M$_\\odot$) stars, and their large ($\\approx 10^{5}-10^{6}$) populations mean they can harbour objects in very short phases of evolution. Stellar mass loss, and its implications for both stellar evolution and the cluster's fate are of particular importance. All stars over $\\sim$0.8 M$_\\odot$ are thought to lose $\\gtsim$30\\% of their mass on the Red and Asymptotic Giant Branches (RGB/AGB) (e.g.\\ \\citealt{Rood73,LDZ94,CDA08}). Warm giants may drive an outflow of $\\sim 10^{-9}$ M$_\\odot$ yr$^{-1}$ via magnetic or hydrodynamic processes, (e.g.~\\citealt{DHA84,MCP06}), while the coolest, most luminous giants are thought to be able to sustain a wind of at least $\\sim 10^{-6}$ M$_\\odot$ yr$^{-1}$ through a combination of pulsations and radiation pressure on circumstellar dust (e.g.~\\citealt{GW71,BW91}). Mid-infrared (IR) spectra can be used to identify the species, temperature, mass and nature of these circumstellar dust grains and improve estimates of the total mass-loss rate from the star \\citep{LPH+06,vLMO+06}. Mass loss has important consequences for the remainder of the star's evolution and the chemical enrichment of interstellar material. Significant mass loss can decrease the number of thermal pulses such a star undergoes, thus inhibiting the growth of the stellar core, and reducing dredge-up, which affects the chemistry and characteristics of the post-AGB and planetary nebula phase \\citep{VW93}. Mass-loss evolutionary processes also determine whether the star remains an oxygen-rich AGB star or becomes a carbon star \\citep{vLZW+98,FCL+98}. Ultimately, mass loss will limit the white dwarf mass. Many aspects of the mass-loss process remain poorly understood. There is no clear consensus even on the primary driving mechanism behind mass loss, likely pulsation or continuum-driving of dust. By examining mass loss along the giant branches of populations of different metallicities, we can gain insight into the poorly-determined relationships between metallicity and the mass-loss rate, the wind speed and gas-to-dust ratio of the stars; and the correlation between mass loss and gravity (e.g.~\\citealt{MvL07}). The clearing of lost mass from within the cluster will also liberate mass from the cluster and could exacerbate its evaporation. Study of the clearing can also allow us to infer conditions in the cluster's local environment \\citep{OKYM07}. The \\emph{Spitzer Space Telescope} \\citep{WRL+04,GRW+07} has, for the first time, allowed a complete census of dust production within GCs, due to its unprecedented sensitivity and angular resolution. A comprehensive analysis of mass loss from stars in 47 Tuc was recently performed by \\cite{ORFF+07} (hereafter O+07). In this study, mid-IR flux excesses from \\emph{Spitzer} data were used to construct the mass-loss rate from individual stars in the cluster, attaining an empirical relation for mass loss from metal-poor giant stars. This relation suggests that significant dust production occurs along a considerable part of the giant branch. We compare our results to this analysis in Section \\ref{MdotRGBSect}. \\subsection{Omega Centauri} On the basis of our own \\emph{Spitzer} data, published in \\cite{BMvL+08} (hereafter B+08), and new mid-IR spectra of the two stars (V6 \\& V42) with the strongest IR excess, we here present an estimate of the mass-loss evolution in the most massive Galactic globular cluster: $\\omega$ Centauri. $\\omega$ Cen is unique in the wealth of information available -- it is comparatively nearby at a relatively well-known distance of $\\sim$5 kpc \\citep{Harris96,vLlPB+00,vdVvdBVdZ06,dPPS+06}; its high radial velocity of $v_{\\rm LSR} = +232$ km s$^{-1}$ \\citep{MM86,vdVvdBVdZ06} allows easy spectroscopic membership and radial velocity determination (\\citealt{vLvLS+07}; hereafter vL+07), and it also has independent membership determinations from proper motion measurements (\\citealt{vLlPB+00}; hereafter vL+00). The importance of this is highlighted in B+08, which also contains an assessment of the effects of stellar blending on our longer-wavelength (lower-resolution) data. The cluster contains a statistically-significant sample of stars in most advanced stages of evolution (vL+07). Coupling this with a large existing photometric dataset, it is possible to positively identify cluster members and probe the stellar population well down the giant branch at all wavelengths relevant to spectral energy distribution (SED) modelling. The bulk of the stars in the cluster have a relatively low metallicity -- [Fe/H] $\\approx$ --1.7 to --1.6 \\citep{Norris96,SSC+00}. However, a helium-enriched, metal-intermediate population at [Fe/H] $\\approx$ --1.2 \\citep{Norris96,Norris04} also exists; along with a metal-rich component, the `anomalous' RGB (RGB-a), with metallicities up to [Fe/H] $\\approx$ --0.7, which together comprise perhaps 10\\% of the cluster \\citep{LJS+99,PFB+00,PPH+02}. Variations in surface abundances are also present, including oxygen-rich, M-type stars with titanium oxides; stars enhanced in CH and/or CN; and genuine carbon stars with molecular carbon (C$_2$; vL+07). The origin of these sub-populations is undecided \\citep{SPF+05,SdCNC06a,VPK+07}, though there is evidence that $\\omega$ Cen may be the remnant nucleus of a tidally disrupted dwarf spheroidal galaxy (dSph) \\citep{ZKD+88,Freeman93}. Understanding $\\omega$ Cen may therefore assist our understanding of mass loss and chemical enrichment in other nucleated dSphs, as well as in the earlier, more metal-poor Universe. \\subsection{Individual stars} Within this paper, we also present the first mid-infrared spectra of the two brightest, most IR-excessive stars in the cluster, V6 (LEID 33062, ROA 162) and V42 (LEID 44262, ROA 90). \\cite{GF73,GF77} measured the IR colours of V6, confirming it as a very bright IR source and showing it to be variable at near-IR wavelengths, with a possible $L$-band excess. Its period is uncertain, being listed as 73.513 days in \\cite{SawyerHogg73} and 100--120 days in \\cite{DFLE72}. Classified as an M4--5 emission line variable, it has a possible radial velocity variation of up to 40 km s$^{-1}$ with a mean velocity of +213.6$\\pm$3.7 km s$^{-1}$ (Dickens et al.~1972; \\citealt{Webbink81}; quoted uncertainty $\\sim$13 km s$^{-1}$). Its temperature has been estimated at 3300--3600 K with log($g$) of 0.0 (assuming $M = 0.8$ M$_\\odot$; \\citealt{PCM+80,Frogel83}). It contains relatively large amounts of H$_2$O compared to the other cluster long-period variables (LPVs) and is CN and NH enhanced \\citep{CB86}. It is also known to be a TiO variable and shows variable hydrogen emission (\\citealt{LloydEvans83b,LloydEvans83c,LloydEvans86}). V6 appears to belong to the metal-intermediate sub-population, with [Fe/H] $\\sim$ --1.19 \\citep{ZW84,NdC95b,VWS02}. \\cite{Feast65} implies V42 should be classified as a semi-regular variable of type SRd, but its spectrum is somewhat later than the F--K-type this implies. An M1--2.5 emission line variable, it may also exhibit radial velocity variations between about +253 and +272 km s$^{-1}$ (Dickens et al.~1972), though this variation may be largely attributable to insufficient signal-to-noise. V42 may represent a star bridging the gap between SRd stars and emission-line LPVs. As an apparent fundamental-mode pulsator, its 148.64$\\pm$0.03 day period (vL+00) is the longest in $\\omega$ Cen and among the longest in globular cluster variables as a group \\citep{Clement97}. Dickens et al.\\ also report that the TiO bands weaken and hydrogen emission lines are present only near optical photometric maximum (see also \\citealt{LloydEvans83c,LloydEvans83d}), suggesting an additional opacity source. It is also CN and NH enhanced \\citep{CB86}. \\cite{CF83} estimate log($g$) = 0.5 and $T$ = 3950 K, whereas \\cite{MW85} calculate a much lower temperature of 2818 K, based on IR data, and show V42 undergoes substantial variability -- some $\\sim$60\\% of its mean luminosity -- even in the $L$-band. No reliable information on the star's metallicity is available, although vL+07 place it at [Fe/H] $\\sim -1.25$; a high-resolution optical spectrum shows significant H-$\\alpha$ emission, attributable to shocks propagating in the stellar wind (\\citealt{MvL07}, hereafter MvL07). The cluster also contains a number of other interesting objects. Five carbon stars have now been reported (vL+07). Several post-AGB stars are also known. Most famously, Fehrenbach's Star (LEID 16018, HD 116745) appears to have already undergone thorough mixing and mass loss \\citep{FD62,DP73,GW92}. Another, V1 (LEID 32029), is an irregularly-pulsating star with multiple periods that is thought to have undergone gas-dust separation, but not thought to have undergone third dredge-up (surface enrichment during thermal pulses) and may thus be a post-early-AGB star (\\citealt{Gonzalez94,MHLN98}; \\citealt{TKD+06,TKD+07}; vL+07). V29 (LEID 43105), V43 (LEID 39156), V48 (LEID 46162) and V92 (LEID 26026) have also been suggested to be post-AGB stars \\citep{Gonzalez94,GW94}. The remainder of the paper is organised as follows: Section 2 describes the SED input data and models; Section 3 details the corrections to the photometry and the process of creation of the SEDs; Section 4 compares our observed temperatures and luminosities with those predicted by a variety of stellar evolution models, providing a new estimate of the distance and reddening to the cluster; Section 5 presents new mid-infrared spectra of V6 and V42, and discusses subsequent estimation of mass loss from individual stars; Section 6 discusses the implications of the dataset, including calculating the total mass-loss rate of the cluster, correlations with various stellar parameters, and the evolutionary nature of mass loss; finally, Section 7 presents our conclusions. ", "conclusions": "We have here presented stellar parameters derived from spectral energy distribution fitting to stars over two orders of magnitudes in luminosity down the RGB and AGB of $\\omega$ Centauri, creating a physical HRD of luminosity versus temperature, outlining the RGB, HB and AGB in great detail and accuracy, and identifying several new post-AGB star candidates. From isochrone and spectral energy distribution fitting, we estimate the following parameters for the cluster: \\begin{itemize} \\item Distance: $d = 4850 \\pm 200$ (statistical) $\\pm 120$ (systematic) pc; \\item Reddening: $E(B-V) = 0.08 \\pm 0.02$ mag (statistical) $\\pm 0.02$ mag (systematic) $\\pm 0.02$ mag (differential); \\item Total dust mass loss: $\\dot{M}_{\\rm dust} = 9 \\pm ^{6} _{4} \\times 10^{-10}$ M$_\\odot$ yr$^{-1}$; \\item Total gas mass loss: $\\dot{M}_{\\rm gas} \\sim 1.2 \\times 10^{-5}$ M$_\\odot$ yr$^{-1}$ ($\\sim 2/3$ from dusty winds, $\\sim 1/3$ from chromospheric mass-loss); \\item Timescale to clear the intra-cluster medium from cluster: $\\ltsim 10^5$ yr; \\end{itemize} under the following assumptions: \\begin{itemize} \\item gas-to-dust ratio, $\\psi \\propto 10^{-{\\rm [Fe/H]}}$; \\item wind velocity, $v \\propto L^{1/4} \\psi^{-1/2}$; \\item absence of substantial mid-IR variability; \\item constant dust chemistry along the giant branch; \\item inner dust envelope temperature of 1000 K; \\item our low wind velocities ($\\sim 1$ km s$^{-1}$) are accurate and still produce an accurate mass-loss rate. \\end{itemize} We derive inner dust envelope temperatures for a handful of stars (including V6 and V42), suggesting they are typically $\\gtsim$ 600 K. We show that V6 and V42 contribute $\\sim$25\\% of the cluster's dust production. V42 may be variable at mid-infared wavelengths on timescales of as little as a few weeks, suggesting equally variable dust production, meaning a single estimate of mass-loss rate and wind conditions may not accurately reflect the long-term conditions in this and similar stars. V42, an oxygen-rich star, may also be producing carbon-rich dust. Dusty mass loss appears to start suddenly at a threshold of $\\sim$4400 K, or $\\sim$ 1000 L$_\\odot$, for a significant fraction of stars. There appear to be additional star-to-star differences, suggesting that other factors also influence the mass-loss rate. Empirical literature relations do not accurately reflect the dust production rates we measure in $\\omega$ Cen. By comparing our stellar parameters with optical line strengths, we have deduced that the Ba-rich stars in $\\omega$ Cen belong to the more metal-rich populations and not to the AGB. These stars are characterised by dustier winds. Mass loss along the RGB appears quite efficient with typically 0.20--0.25 M$_\\odot$ lost on the RGB and $\\gtsim$0.05 M$_\\odot$ on the AGB, possibly leading to large numbers of AGB-\\emph{manqu\\'e} and post-early-AGB stars. Dust production in $\\omega$ Cen appears not confined to the AGB, with most dust producing stars in the cluster near the RGB-tip. \\ \\\\ \\noindent {\\bf Acknowledgements} \\noindent We thank Aaron Dotter, Noriyuki Matsunaga, Greg Sloan, and the many others who have given help in this project for their words of wisdom. I.M.\\ acknowledges a PPARC/STFC studentship award. L.D. acknowledges financial support from the Fund for Scientific Research -- Flanders (Belgium). M.L.B., C.E.W., and R.D.G.\\ are supported in part by NASA through \\emph{Spitzer} contracts 1276760, 1256406, and 1215746 issued by JPL/Caltech to the University of Minnesota. A.K.D.\\ acknowledges research support from \\emph{Spitzer} contract 1279224. Finally, we thank the referee for his very helpful advice. This publication makes use of data products from the Two Micron All Sky Survey, which is a joint project of the University of Massachusetts and the Infrared Processing and Analysis Center/California Institute of Technology, funded by the National Aeronautics and Space Administration and the National Science Foundation. This manuscript is also based on observations obtained at the Gemini Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under cooperative agreement with the NSF on behalf of the Gemini partnership: the National Science Foundation (United States), the Science and Technologies Facilities Council (United Kingdom), the National Research Council (Canada), CONICYT (Chile), the Australian Research Council (Australia), CNPq (Brazil), and CONICET (Argentina)." }, "0812/0812.2609_arXiv.txt": { "abstract": "A new model for source counts from 8-1100 $\\mu$m is presented, which agrees well with source-count data and the observed background spectrum. The model is similar to that of Rowan-Robinson (2001), but with different evolution for each of the four assumed infrared template types. The evolution is modified in two ways; (i) the exponential factor is modified so that it tends to a constant value at late times, (ii) the power-law factor is modified so that it tends to zero at redshift $z_f$, rather than 0 as assumed by Rowan-Robinson (2001). I find strong evidence from the 850 and 1100 $\\mu$m counts, and from the infrared background, that $z_f$ = 4-5, with some preference for a value at the low end of the range, implying that star-forming galaxies at z $>$ 5 are not significant infrared emitters, presumably due to a low opacity in dust at these early epochs. The model involves zero or even negative evolution for starbursts and AGN at low redshifts ($<$0.2), suggesting that the era of major mergers and strong galaxy-galaxy interactions is over. ", "introduction": "Source-counts at infrared and submillimetre wavelengths, combined with the spectrum of the infrared background, give us important constraints on the star-formation history of the universe. First indications of strong evolution in the properties of star-forming galaxies came from IRAS 60 $\\mu$m counts (Hacking and Houck 1987, Lonsdale et al 1990, Rowan-Robinson et al 1991, Franceschini et al 1991, 1994, Pearson and Rowan-Robinson 1996) ISO gave us deep counts at 15 $\\mu$m providing strong evidence for evolution (Oliver et al 1997, Rowan-Robinson et al 1997, Guiderdoni et al 1998, Aussel et al 1999, Elbaz et al 1999, 2002, Serjeant et al 2000, Gruppioni et al 2002, Lagache et al 2003) and useful counts at 90 and 175 $\\mu$m (Kawara et al 1998, Dole et al 2001, Efstathiou et al 2000a, Heraudeau et al 2004). 850 $\\mu$m counts with SCUBA on JCMT (Smail et al 1997, Hughes et al 1998, Eales et al 1999, 2000, Barger et al 1999, Blain et al 1999, Fox et al 2002, Scott et al 2002, Smail et al 2002, Cowie et al 2002, Webb et al 2003, Borys et al 2004, Coppin et al 2006) have given important insight into the role of cool dust and also strong constraints on the high-redshift evolution of hyperluminous infrared galaxies. Evidence for luminosity evolution of submillimetre galaxies was given by Ivison et al (2002). 1200 $\\mu$m counts with MAMBO have been reported by Greve et al (2004) and modelled in terms of a strongly evolving population. Recently the AZTEC collaboration have reported differential counts at 1100 $\\mu$m (Perera et al 2008, Austermann et al 2008), which provide even stronger constraints on high redshift evolution. The detection of the infrared background with COBE (Puget et al 1996, Fixsen et al 1998, Hauser et al 1998, Lagache et al 1999) provided an important constraint on evolutionary models (Guiderdoni et al 1997, 1998, Franceschini et al 1998, 2001, Dwek et al 1998, Blain et al 1999, Gispert et al 2000, Dole et al 2001, Rowan-Robinson 2001, Chary and Elbaz 2001, Elbaz et al 2002, King and RR 2003, Balland et al 2003, Xu et al 2003, Lagache et al 2003). Dole et al (2006) used stacking analysis on deep {\\it Spitzer} counts at 24, 90 and 160 $\\mu$m to estimate the integrated background radiation from sources at these wavelengths. With {\\it Spitzer} we also have deep counts at 8, 24, 70, 160 $\\mu$m (Fazio et al 2004, Chary et al 2004, Marleau et al 2004, Papovich et al 2004, Dole et al 2004, Le Floch et al 2005, Frayer et al 2006, Shupe et al 2008), with 24 $\\mu$m providing an especially complete picture of the contribution of individual sources to the infrared background. While some pre-{\\it Spitzer} models were quite successful at 70 and 160 $\\mu$m, none captured full details of the 24 $\\mu$m counts. Lagache et al (2004) provided early revised models in the light of the Spitzer data. Rowan-Robinson (2001) modeled infrared source-counts and background in terms of four types of infrared galaxy: quiescent galaxies in which the infrared radiation (infrared 'cirrus') is emission from interstellar dust illuminated by the general stellar radiation field, starbursts for which M82 is the prototype, more extreme, higher optical depth starbursts with Arp 220 as prototype, and AGN dust tori. The same evolution history, intended to reflect the global star-formation history, was used for each galaxy type. This model was consistent with counts, luminosity functions and colour-luminosity relations from IRAS, counts from ISO and available integral 850 $\\mu$m counts. However the advent of deep source-count data from {\\it Spitzer} showed that this model, along with other pre-{\\it Spitzer} models, failed, especially at 24 $\\mu$m. In this paper I show how the Rowan-Robinson (2001) model has to be modified to achieve consistency with {\\it Spitzer} and other modern data and give predictions for the {\\it Herschel} and {\\it Planck} wave-bands. Some preliminary results were given in Shupe et al (2008). A cosmological model with $\\Lambda$ = 0.7, $h_0$=0.72 has been used throughout. ", "conclusions": "I have presented a new model for source counts from 8-1100 $\\mu$m, which agrees well with source-count data and the observed background spectrum. The model is similar to that of Rowan-Robinson (2001), but with different evolution for each of the four assumed infrared template types. The evolution is modified in two ways; (i) the exponential factor is modified so that it tends to a constant value at late times, (ii) the power-law factor is modified so that it tends to zero at redshift $z_f$, rather than 0 as assumed by Rowan-Robinson (2001). I find strong evidence from the 850 and 1100 $\\mu$m counts and from the infrared background that $z_f$ = 4-5, with some preference for a value at the low end of the range, implying that star-forming galaxies at z $>$ 5 are not significant infrared emitters, presumably due to a low opacity in dust at these early epochs. The model involves zero or even negative evolution for starbursts and AGN at low redshifts ($<$0.2), suggesting that the era of major mergers and strong galaxy-galaxy interactions is over. {\\it Herschel} and {\\it Planck} submillimetre counts will provide much stronger tests of these models." }, "0812/0812.3219_arXiv.txt": { "abstract": "{Within the hierarchical framework for galaxy formation, merging and tidal interactions are expected to shape large galaxies to this day. While major mergers are quite rare at present, minor mergers and satellite disruptions - which result in stellar streams - should be common, and are indeed seen in both the Milky Way and the Andromeda Galaxy. As a pilot study, we have carried out ultra-deep, wide-field imaging of some spiral galaxies in the Local Volume, which has revealed external views of such stellar tidal streams at unprecedented detail, with data taken at small robotic telescopes (0.1-0.5-meter) that provide exquisite surface brightness sensitivity. The goal of this project is to undertake the first systematic and comprehensive imaging survey of stellar tidal streams, from a sample of $\\sim$ 50 nearby Milky-Way-like spiral galaxies within 15 Mpc, that features a surface brightness sensitivity of $\\sim$ 30 mag/arcsec$^{2}$. The survey will result in estimates of the incidence, size/geometry and stellar luminosity/mass distribution of such streams. This will not only put our Milky Way and M31 in context but, for the first time, also provide an extensive statistical basis for comparison with state-of-the-art, self-consistent cosmological simulations of this phenomenon.} ", "introduction": "\\label{sec:1} Within the hierarchical framework for galaxy formation (e.g., White \\& Rees 1978), the stellar bodies of galaxies are expected to form and evolve through dark-matter-driven mass in-fall and successive coalescence of smaller, distinct sub-units that span a wide mass range. Mergers of initially bound sub-halos (which we refer to as {\\it satellites}; they consist of dark matter, gas, and in most cases stars) are effected by dynamic friction, either through gradual orbital decay or by a single encounter (depending on the initial orbit), its eccentricity and the satellite-to-main-galaxy mass ratio. It is likely that a satellite becomes disrupted by the tidal forces of the larger companion before its orbit spirals all the way to the center. If such a tidal disruption is complete, and no bound satellite is left, dynamical friction ceases to act. If the disruption is only partial at this epoch, the surviving satellite fragment displays extensive tidal tails, leading and trailing its current position in the galactic halo. While in $\\Lambda$-Cold Dark Matter ($\\Lambda$CDM) the interaction rate is expected to drop to the present-day epoch, such disruption of satellites should still occur around normal spiral galaxies. The fossil records of these merger events may be detected nowadays in the form of distinct coherent stellar structures in the outer regions of massive systems. The most spectacular cases of tidal debris are long, dynamically cold stellar streams from a disrupted dwarf satellite, which have wrapped around the host galaxy's disk and roughly trace the orbit of the progenitor satellite. The now well-studied Sagittarius tidal stream surrounding the Milky Way (Majewski et al. 2003) and the giant stream in Andromeda galaxy (Ibata et al. 2007) are archetypes of these satellite galaxy merger 'fossils' in the Local Group. They provide sound qualitative support for the scenario that tidally disrupted dwarf galaxies are important contributors to stellar halo formation in the Local Group spirals. State-of-the-art, high-resolution numerical simulations of galaxy formation, built within the $\\Lambda$CMD context (e.g. Moore et al, 1999; Springel et al. 2008), can guide the quest for observational signatures of such star-streams (e.g. Bullock \\& Johnston 2005; Johnston et al. 2008). Recent simulations have demonstrated that the characteristics of substructure currently visible in the stellar halos are sensitive to the last (0-8 Gyr ago) merger histories of galaxies, a timescale that corresponds to the last few to tens of percent of mass accretion for a spiral galaxy like the Milky Way. While stellar streams in the Milky Way and Andromeda can be studied in detail, comparison with cosmological models is limited by 'cosmic variance'. However, the current models imply that a survey of 50-100 parent galaxies reaching to a surface brightness of 30 mag arcsec$^{-2}$ would reveal many tens of tidal features, perhaps nearly one detectable stream per galaxy (Johnston et al. 2008). However, a specific comparison of these simulations with observations is missing because no suitable data sets exist. Such a comparison, which could quantify the present sub-halo merger rate, is not only important as a test of $\\Lambda$CDM models, but also as a more direct probe of how resilient disks are to minor mergers. \\begin{figure}[t] \\begin{center} \\epsfig{figure=Slide1.ps, height=9cm, width=12cm, angle=0} \\caption{ \\footnotesize{{\\it(left)} Deep image of the stellar tidal stream around NGC 5907 obtained with the 0.5-meter Black Bird Observatory (BBO) telescope (Martinez-Delgado et al 2008a). A N-body model of this structure is shown in Fig. 2; {\\it (right, top)} A low-galactic latitude stellar tidal stream of NGC 4013, discovered by our team from deep images taken with the BBO telescope; {\\it (right, bottom)} Deep images taking with a FSQ-106ED telescope of only 10cm aperture allowed the discovery of a giant tidal stream in the halo of the spiral galaxy Messier 63 (Martinez-Delgado et al. 2009, in preparation). A colour inset of the disk of each galaxy has been inserted with reference purpose.}} \\label{fig_test} \\end{center} \\end{figure} ", "conclusions": "" }, "0812/0812.1500_arXiv.txt": { "abstract": "We present optical, X-ray, high energy ($\\lessapprox 30$ GeV) and very high energy ($\\gtrapprox 100$ GeV; VHE) observations of the high-frequency peaked blazar Mrk 421 taken between 2008 May 24 and June 23. A high energy $\\gamma$-ray signal was detected by AGILE with $\\sqrt{TS}=4.5$ on June 9--15, with $F(E>100~\\mathrm{MeV})= 42^{+14}_{-12}\\times 10^{-8}$ photons cm$^{-2}$ s$^{-1}$. This flaring state is brighter than the average flux observed by EGRET by a factor of $\\sim$3, but still consistent with the highest EGRET flux. In hard X-rays (20-60 keV) SuperAGILE resolved a 5-day flare (June 9-15) peaking at $\\sim$ 55 mCrab. SuperAGILE, RXTE/ASM and Swift/BAT data show a correlated flaring structure between soft and hard X-rays. Hints of the same flaring behavior are also detected in the simultaneous optical data provided by the GASP-WEBT. A Swift/XRT observation near the flaring maximum revealed the highest 2-10 keV flux ever observed from this source, of $2.6$ $\\times 10^{-9}$ erg cm$^{-2}$ s$^{-1}$ (i.e. $> 100$ mCrab). A peak synchrotron energy of $\\sim$3 keV was derived, higher than typical values of $\\sim$0.5-1 keV. VHE observations with MAGIC and VERITAS on June 6-8 show the flux peaking in a bright state, well correlated with the X-rays. This extraordinary set of simultaneous data, covering a twelve-decade spectral range, allowed for a deep analysis of the spectral energy distribution as well as of correlated light curves. The $\\gamma$-ray flare can be interpreted within the framework of the synchrotron self-Compton model in terms of a rapid acceleration of leptons in the jet. ", "introduction": "Mrk 421 is a nearby blazar ($z=0.031$) and one of the brightest BL Lac objects given its distance of 134.1 Mpc ($H_0=71$ km s$^{-1}$ Mpc$^{-1}$, $\\Omega_{m}=0.27, \\Omega_{\\lambda}=0.73$) . It was observed in $\\gamma$-rays by EGRET (Lin et al. 1992) and it was the first extragalactic object detected at $E> 500$ GeV \\cite{punch92}. It belongs to the class of High-energy peaked BL Lac objects (HBLs) (Padovani \\& Giommi 1995), i. e. radio-loud active galactic nuclei with high radio and optical polarization. Its spectral energy distribution (SED) is double-humped with a first peak usually in the soft to medium X-ray range, and a second one at GeV-TeV energies (Sambruna et al. 1996; Fossati et al. 1998). The first hump is commonly interpreted as due to synchrotron radiation from high-energy electrons in a relativistic jet, while the origin of the second peak is still uncertain. In the leptonic scenario it is interpreted as inverse Compton (IC) scattering of the synchrotron (Synchrotron self-Compton, SSC) or external photons (External Compton, EC) by the same population of relativistic electrons. The observed correlated variability between X-rays and TeV $\\gamma$-rays (Maraschi et al. 1999; Fossati et al. 2008, Wagner 2008) is well explained in the SSC framework (Ghisellini et al. 1998), whereas the EC scenario is unlikely to apply in HBLs, due to the low density of ambient photons. Alternatively, hadronic models invoke proton-initiated cascades and/or proton-synchrotron emission (Aharonian 2000, M\\\"{u}cke et al. 2003). Leptonic and hadronic scenarios for HBLs predict different properties of the $\\gamma$-ray emission in relation to emissions in other energy bands. Specifically, the hadronic models (as opposed to the SSC ones) predict a flatter slope of the $\\sim 100$ MeV IC emission than that of the synchrotron emission in the optical-UV energy bands. $\\gamma$-ray observations of flaring BL Lacs and simultaneous multiwavelength data are thus the keys to investigating these two scenarios. A hard X-ray flare of Mrk 421 was detected by SuperAGILE on 2008 June 10 (Costa et al. 2008). This detection was later followed by a detection in $\\gamma$-rays (Pittori et al. 2008) by the AGILE/GRID (Gamma Ray Imaging Detector) and prompted a ToO observation by Swift/XRT, complementing the ongoing multifrequency observing campaign of Mrk 421 with WEBT (optical), MAGIC and VERITAS (TeV). We report on the observations and the analysis of these data, complemented by the publicly-available data from RossiXTE/ASM (2-12 keV) and Swift/BAT (15-50 keV), and discuss the spectral energy distribution of the source during this bright $\\gamma$-ray flare. ", "conclusions": "Mrk 421 showed a very interesting broad-band activity during the first half of 2008 June as derived from AGILE data combined with those of WEBT, Swift, MAGIC and VERITAS. Using our multi-frequency data we were able to derive time-resolved SEDs (Fig. 2). We distinguish two time periods: {\\it period 1}: 2008 June 6, with the inclusion of optical, X-ray (XTE and BAT) and TeV data (VERITAS); and {\\it period 2}: 2008 June 9--15, including optical, UV, X-rays (XRT and SuperAGILE) and gamma-ray data (AGILE). The source shows a very interesting time-variable broad band emission that appears to be in overall agreement with an SSC model. The optical, soft and hard X-ray bands strongly constrain the SED around the synchrotron peak, and its daily variability reveals the physical processes of Mrk~421. Possible correlated variability is shown in Fig.~1 between the optical (an overall decreasing trend with superimposed spikes of emission), the X-rays (several emission peaks lasting few days), and the high-energy parts of the spectrum. Based on the physical constraints obtained for the synchrotron peak, we can model both the HE and VHE $\\gamma$-ray emission. The data collection and broad-band SED extends over 12 decades in energy. Taking advantage of the overlapping MAGIC and VERITAS observations, we present a combined VHE light curve using the current generation of Northern imaging air Cherenkov systems. We first model the synchrotron peak of emission using the period 1 optical, soft and hard X-ray data. The short time-variability (Fig.~1) constrains the size of the emitting region to $R