Hot Quark Matter with Neutrino Confinement in Terms of the Local Nambu - Jona-Lasinio SU(3) Model

The thermodynamic characteristics of hot β-equilibrium, electrically neutral, three-flavor quark matter with neutrino confinement are studied. This kind of quark-lepton system is described thermodynamically using a local SU(3) Nambu - Jona-Lasinio (NJL) model that includes the ‘t Hooft interaction, leading to a mixing effect for the quark flavors. The energy density e and pressure P of the quark matter are determined numerically for baryon number densities in the range of nB ϵ [0.02 ÷ 1.8] fm-3 and temperatures of T ϵ [0 ÷ 100]MeV. These results are compared with the results for cold quark matter calculated in the same model framework but under the assumption that all neutrinos have already left the system. The dependence of the contribution of the individual quark flavors to the baryonic charge of the system for different temperatures is discussed. The isothermal and adiabatic speeds of sound in hot quark matter are both calculated as functions of the baryonic number density.