Equation of state for dense supernova matter

TL;DR

This paper develops an equation of state for dense supernova matter using a momentum-dependent effective interaction, analyzing thermal and isentropic effects on nuclear matter properties relevant to supernova collapse.

Contribution

It introduces a detailed model for high-density, high-temperature nuclear matter including leptons, under chemical equilibrium, with analysis of thermal and entropy effects.

Findings

Thermal effects significantly influence the equation of state.

Lepton fractions are evaluated under charge neutrality and beta equilibrium.

Entropy contributions of nuclear matter components are analyzed.

Abstract

We provide an equation of state for high density supernova matter by applying a momentum-dependent effective interaction. We focus on the study of the equation of state of high-density and high-temperature nuclear matter containing leptons (electrons and neutrinos) under the chemical equilibrium condition. The conditions of charge neutrality and equilibrium under $\beta$-decay process lead first to the evaluation of the lepton fractions and afterwards the evaluation of internal energy, pressure, entropy and in total to the equation of state of hot nuclear matter for various isothermal cases. Thermal effects on the properties and equation of state of nuclear matter are evaluated and analyzed in the framework of the proposed effective interaction model. Since supernova matter is characterized by a constant entropy we also present the thermodynamic properties for isentropic case. Special attention is dedicated to the study of the contribution of the components of $\beta$-stable nuclear matter to the entropy per particle, a quantity of great interest for the study of structure and collapse of supernova.