English

Deconfinement transition in protoneutron stars: analysis within the Nambu-Jona-Lasinio model

Nuclear Theory 2010-04-22 v1 Solar and Stellar Astrophysics

Abstract

We study the effect of color superconductivity and neutrino trapping on the deconfinement transition of hadronic matter into quark matter in a protoneutron star. To describe the strongly interacting matter a two-phase picture is adopted. For the hadronic phase we use different parameterizations of a non-linear Walecka model which includes the whole baryon octet. For the quark matter phase we use an SU(3)fSU(3)_f Nambu-Jona-Lasinio effective model which includes color superconductivity. We impose color and flavor conservation during the transition in such a way that just deconfined quark matter is transitorily out of equilibrium with respect to weak interactions. We find that deconfinement is more difficult for small neutrino content and it is easier for lower temperatures although these effects are not too large. In addition they will tend to cancel each other as the protoneutron star cools and deleptonizes, resulting a transition density that is roughly constant along the evolution of the protoneutron star. According to these results the deconfinement transition is favored after substantial cooling and contraction of the protoneutron star.

Keywords

Cite

@article{arxiv.1001.1709,
  title  = {Deconfinement transition in protoneutron stars: analysis within the Nambu-Jona-Lasinio model},
  author = {G. Lugones and T. A. S. do Carmo and A. G. Grunfeld and N. N. Scoccola},
  journal= {arXiv preprint arXiv:1001.1709},
  year   = {2010}
}