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0704.1527.txt |@word consider:2 rev:8 four:1 supplement:1 issues:2 whose:1 21st:1 ver:1 does:1 excluded:1 conjecture:1 amplitudes:1 far:1 wave:7 experimentally:1 fad:1 level:1 turns:1 atsushi:1 vector:1 employing:1 tex:1 dynamics:6 what:1 appear:1 section:1 expressed:1 ecker:1 current:1 above:1 3b:1 method:1 satisfy:3 full:1 ibid:1 exchange:1 jido:8 here:1 address:1 along:1 strong:1 observing:1 obtained:1 multiquark:1 institute:1 shift:1 study:6 larger:1 pich:1 studies:1 rafael:1 composed:2 forbid:1 apply:1 meson:5 imaginary:1 cloud:1 would:2 positive:1 century:1 next:1 almost:1 nucl:5 therefore:3 qcd:1 theoretical:2 more:2 introducing:2 successful:2 binding:1 varying:2 known:1 cases:1 rotational:1 tuan:1 erratum:1 science:2 work:2 oller:3 reproduce:1 mt:10 following:1 renormalization:5 states:10 numbers:1 allowed:1 breaking:1 nontrivial:1 badly:1 may:2 qqq:1 representations:2 data:3 constants:2 realized:1 natural:4 effective:1 su:8 so:2 specifying:1 representation:1 order:9 origin:1 s0:5 interpretation:1 nucleon:1 indeed:1 daisuke:1 argued:1 japan:4 excitations:1 group:1 decay:1 masses:1 boson:7 attraction:1 absence:1 meissner:2 condition:10 mail:1 cls:1 universality:1 practice:1 repulsive:1 subtraction:9 speculate:1 discuss:3 fully:1 university:1 2f:2 antiquark:1 found:3 goldstone:2 financial:1 energy:9 society:1 quantum:2 our:1 eq:1 out:1 shown:2 space:1 nuovo:1 since:1 lagrangian:3 research:2 tetsuo:1 ref:1 turning:1 theory:1 state:6 quark:5 difficulty:1 ramos:2 generate:5 interaction:9 chiral:14 ministry:1 introduction:1 consequence:1 promotion:1 hikasa:1 hadrons:17 integrand:1 exotic:22 symmetry:4 number:4 channels:5 smaller:1 done:1 adopted:1 size:1 given:5 perturbation:1 2ft:1 unitarity:1 system:1 construct:3 ccrit:2 hundred:1 lease:1 baryon:4 explanation:1 part:2 favorable:3 than:3 specify:1 determines:1 target:6 tree:1 nakano:1 determined:2 amplitude:6 siegel:1 dynamically:1 turned:1 say:1 substantial:1 seen:1 contents:1 strength:2 genuine:2 rcnp:1 responsible:1 take:1 antiquarks:1 scatterings:1 strengths:1 channel:4 nonobservation:2 play:1 collaboration:1 most:3 phase:1 acknowledgements:1 class:1 observation:1 clear:1 adopt:1 tα:6 physics:4 fact:1 show:3 hyodo:8 supported:1 find:1 µm:16 based:2 knowledge:1 parameters:1 explain:1 outside:1 should:3 only:3 factor:1 do:1 2mt:1 de:1 bear:1 pelaez:1 ds:1 arxiv:1 summary:1 contain:1 implication:1 view:1 kernel:3 requirement:1 fair:1 physically:1 violated:1 culture:1 descriptions:1 existence:2 nuclear:1 symmetric:3 written:1 nambu:2 terms:2 reproduced:1 jp:1 problem:1 prescription:3 always:2 region:6 coe:1 casimir:1 expression:1 experimental:4 ibaraki:1 point:1 simple:1 lagrangians:1 unitarization:2 corresponds:1 moreover:1 46a:1 described:1 three:1 been:2 yao:1 ph:2 ann:1 lett:4 generating:1 partly:1 mind:1 leps:1 c2:3 present:2 case:2 exception:1 value:3 will:1 seed:1 match:1 behavior:1 aid:1 loop:4 coupled:1 phenomenological:1 refs:2 thus:2 vanish:1 technology:1 education:1 grant:2 same:1 emphasize:1 gasser:1 constructed:1 higher:5 independent:2 weinberg:2 lutz:1 effect:4 hand:1 lower:2 center:3 possibly:1 nevertheless:1 analysis:2 without:2 components:1 model:3 adjusted:1 thanks:1 facts:1 multiplet:1 flavor:6 nam:2 scattering:6 regarded:1 apr:1 other:1 attractive:1 theorem:5 weise:1 excited:1 momentum:1 real:1 yukawa:2 lacking:1 8πs:1 possible:4 vα:10 increases:1 five:2 using:2 g33:1 theor:1 like:1 particle:1 interestingly:1 oset:3 arbitrary:1 valence:3 mext:1 old:1 successfully:2 some:3 understood:1 respect:1 matching:2 scale:5 resonances:9 quarks:1 octet:1 critical:2 prog:1 minimal:1 hosaka:7 scientific:1 kyoto:3 equivalent:1 expansion:1 although:1 cα:3 hadron:11 constrains:1 comparison:1 extension:1 discussed:1 dependence:1 kolomeitsev:1 seeds:1 dalitz:1 introduced:1 cutoff:1 into:1 within:3 bound:11 down:1 references:1 determine:1 sports:1 theoretically:1 hep:2 support:1 there:1 jsps:1 quadratic:1 low:5 way:2 was:2 function:5 complete:1 enough:1 line:1 utilizing:1 tomozawa:2 evident:1 regularized:1 cim:1 limit:5 distribution:1 ac:1 constant:6 ad:2 wyld:1 certain:1 universal:1 unitarized:6 general:1 examine:1 diversity:1 typeset:1 physical:1 no:4 vanishes:1 ng:6 valid:1 role:2 solitons:1 nonexistence:1 igi:1 conclusion:1 models:1 generated:2 kaiser:1 regime:1 coupling:2 pion:1 mass:1 observables:1 once:1 |
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0704.1531.txt |@word secondly:1 consider:5 rev:7 magnetic:25 mns:6 results:3 leads:1 eds:1 generalize:2 expressions:1 worked:1 compact:1 whose:1 inverse:1 present:5 th:2 under:1 case:41 straightforward:2 zhang:3 far:2 putting:1 mixing:4 difference:1 exact:3 condition:2 notations:4 did:1 turns:2 applicable:3 large:8 solved:3 vector:1 indices:3 eigenvalues:16 application:2 foldy:1 oscillation:27 consistent:3 sin2:5 past:1 zero:4 enhancement:2 ueu:39 further:2 minakata:1 sterile:1 bilinear:1 index:1 what:1 essence:1 diag:20 sum:1 expressed:9 version:1 en:9 new:4 acknowledgments:1 coefficient:2 dψn:1 respectively:6 component:2 here:7 masiero:1 cos2:1 address:1 active:1 path:3 quite:1 ue1:6 change:2 ue2:6 obtained:4 remark:1 ref:9 metro:1 shift:4 mx:1 p2:6 simultaneous:1 products:2 useful:2 extra:1 sawyer:1 neutrons:1 redefining:1 neutrino:20 flavors:2 use:1 sβ:12 would:5 probabilities:4 eτ:3 negative:1 ψt:1 next:1 ψn:1 therefore:4 ψc:3 type:3 more:2 introducing:1 formally:1 becomes:4 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0704.1553.txt |@word concept:1 homomorphism:17 consider:5 similarity:8 results:1 equivalences:1 isometric:4 inverse:4 m2m:5 concerned:1 equivalence:1 contained:3 haagerup:3 uniqueness:1 preserved:2 under:4 norm:12 end:1 every:26 entries:2 matrices:1 condition:7 presented:2 notes:2 solution:1 large:1 admissible:16 work:1 direct:3 zero:2 canonical:4 spectral:1 will:10 what:2 stands:1 invertible:4 diag:2 section:5 3i:1 cyclic:1 subspaces:1 sup:2 aii:3 net:6 acknowledgments:1 injections:1 simultaneously:1 realizations:1 preserves:1 here:2 desired:1 amplification:1 morphisms:1 obtained:1 remark:4 institute:1 chalmers:5 study:2 asa:13 iy:4 via:6 classification:1 apr:1 ask:1 estimate:1 unit:29 prove:10 positive:9 hilbert:7 vol:1 call:2 therefore:6 m2:6 cαβ:3 associated:2 more:1 operators:5 marcel:1 particular:3 cases:1 hold:1 iii:5 seminorm:1 springer:1 isomorphism:15 mn:36 ρn:10 obvious:2 following:11 trans:1 example:2 def:1 proof:11 zametki:1 claim:1 give:4 spr:2 involve:1 assumptions:2 o:1 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