Temperature dependence of nuclear matter generalized isovector symmetry energy with Skyrme-type interactions

TL;DR

This study examines how the isovector symmetry energy coefficient in nuclear matter varies with temperature using Skyrme interactions, revealing minimal temperature dependence but parameter-dependent behaviors at sub-saturation densities.

Contribution

It provides a detailed analysis of the temperature dependence of the symmetry energy coefficient within the Skyrme framework, highlighting the influence of different parameterizations.

Findings

Temperature variation of $\\cA_{0,1}$ is minimal (around 1 MeV) up to 18 MeV.

Behavior of $\\cA_{0,1}$ with temperature depends on Skyrme parameters.

Significant differences occur at densities below saturation density.

Abstract

The temperature dependence of the nuclear matter isovector symmetry energy coefficient ($\cA_{0,1}$) is investigated in the framework of the generalized nuclear polarizability with Skyrme interactions, as worked out in Refs. \cite{npa,prc}. The variation of $\cA_{0,1}(T)$ is very small (of the order of 1 MeV) for temperatures (T) in the range of 0 and 18 MeV. Different behaviors with temperature are found strongly depending on the Skyrme parameterization, in particular at densities lower than the saturation density $\rho_0$.