Equation of state of nuclear matter from empirical constraints

TL;DR

This paper develops an equation of state for nuclear matter using empirical data and a Skyrme-inspired model, predicting key nuclear properties and aligning well with experimental and theoretical constraints.

Contribution

It introduces a new EoS based on empirical constants within a Skyrme framework, improving predictions of nuclear matter properties and their density dependence.

Findings

Predicted symmetry energy slope $L( ho)$ aligns with current estimates.

Predicted incompressibility $K( ho)$ matches diverse approaches.

EoS extrapolation agrees with experimental data at high densities.

Abstract

From empirically determined values of some of the characteristic constants associated with homogeneous nuclear matter at saturation and sub-saturation densities, within the framework of a Skyrme-inspired energy density functional, we construct an equation of state (EoS) of nuclear matter.This EoS is then used to predict values of density slope parameters of symmetry energy $L(\rho)$, isoscalar incompressibility $K(\rho)$ and a few related quantities. The close consonance of our predicted values with the currently available ones for the density dependence of symmetry energy and incompressibility gleaned from diverse approaches offers the possibility that our method may help in settling their values in tighter bounds. Extrapolation of our EoS at supranormal densities shows that it is in good harmony with the one extracted from experimental data.