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

TL;DR

This paper investigates the thermodynamic properties of hot, neutrino-confined, three-flavor quark matter using the local SU(3) Nambu--Jona-Lasinio model, highlighting effects of temperature, neutrino presence, and flavor mixing.

Contribution

It provides a detailed numerical analysis of hot quark matter with neutrino confinement within the NJL model, including flavor mixing and speed of sound calculations.

Findings

Energy density and pressure vary with density and temperature.

Neutrino confinement affects flavor contributions to baryon charge.

Speed of sound depends on baryon density and temperature.

Abstract

The thermodynamic characteristics of hot $\beta$-equilibrium electrically neutral three-flavor quark matter at neutrino confinement are investigated. For the thermodynamic description of such a quark-lepton system, the local SU (3) Nambu--Jona-Lasinio (NJL) model is used, in which also takes into account the 't Hooft interaction, leading to the quark flavor mixing effect. The energy density $\varepsilon$ and pressure $P$ of quark matter are numerically determined for different values of the baryon number density in the range $n_B\in[0.02{\div}1.8]$ fm$^{-3}$ and temperatures in the range $T\in[0{\div}100]$ MeV. The results obtained are compared with the results of cold quark matter calculated within the framework of the same model, but under the assumption that all neutrinos have already left the system. The dependence of the contribution of individual quark flavors to the baryon charge of the system at different temperatures is discussed. Both isothermal and adiabatic speeds of sound in hot quark matter are determined depending on the baryon number density.