Lorentz covariant nucleon self-energy decomposition of the nuclear symmetry energy

TL;DR

This paper derives analytical expressions for the nuclear symmetry energy and its density slope using Lorentz covariant nucleon self-energies, aiding understanding of their microscopic origins in relativistic nuclear models.

Contribution

It provides new analytical formulas linking symmetry energy to Lorentz covariant self-energies, enhancing the understanding of their density dependence in nuclear matter.

Findings

Derived general expressions for $E_{sym}( ho)$ and $L( ho)$

Analyzed self-energy decomposition within a relativistic mean field model

Provided insights into the microscopic origin of symmetry energy

Abstract

Using the Hugenholtz-Van Hove theorem, we derive analytical expressions for the nuclear symmetry energy $E_{sym}(\rho)$ and its density slope $L(\rho)$ in terms of the Lorentz covariant nucleon self-energies in isospin asymmetric nuclear matter. These general expressions are useful for determining the density dependence of the symmetry energy and understanding the Lorentz structure and the microscopic origin of the nuclear symmetry energy in relativistic covariant formulism. As an example, we analyze the Lorentz covariant nucleon self-energy decomposition of $E_{sym}(\rho)$ and $L(\rho)$ and derive the corresponding analytical expressions within the nonlinear $\sigma$-$\omega$-$\rho$-$\delta$ relativistic mean field model.