text: 356,66,1295636132013768704,129492292,Yudai Suwa / 諏訪雄大,"A new paper has appeared on arXiv. <LINK> We derive analytic formulae for the long-time evolution of supernova neutrinos. The most important ones are Eqs 47-49, which also reproduce the numerical models very well. <LINK> Useful for data analysis are Eqs 54 and 55, which give how the neutrino detection rate and the positron's average energy are related to the NS mass and radius. Changing M_det applies to different detectors. <LINK>",https://arxiv.org/abs/2008.07070,"Neutrinos are a guaranteed signal from supernova explosions in the Milky Way, and a most valuable messenger that can provide us with information about the deepest parts of supernovae. In particular, neutrinos will provide us with physical quantities, such as the radius and mass of protoneutron stars (PNS), which are the central engine of supernovae. This requires a theoretical model that connects observables such as neutrino luminosity and average energy with physical quantities. Here, we show analytic solutions for the neutrino-light curve derived from the neutrino radiation transport equation by employing the diffusion approximation and the analytic density solution of the hydrostatic equation for a PNS. The neutrino luminosity and the average energy as functions of time are explicitly presented, with dependence on PNS mass, radius, the total energy of neutrinos, surface density, and opacity. The analytic solutions provide good representations of the numerical models from a few seconds after the explosion and allow a rough estimate of these physical quantities to be made from observational data. ",Analytic solutions for neutrino-light curves of core-collapse supernovae,2,"['A new paper has appeared on arXiv. \n<LINK>\nWe derive analytic formulae for the long-time evolution of supernova neutrinos. The most important ones are Eqs 47-49, which also reproduce the numerical models very well. <LINK>', ""Useful for data analysis are Eqs 54 and 55, which give how the neutrino detection rate and the positron's average energy are related to the NS mass and radius. Changing M_det applies to different detectors. https://t.co/cyO0kg5KuX""]",20,08,434