Criteria for nonlinear parameters of relativistic mean field models

TL;DR

This paper establishes criteria based on meson effective masses to determine nonlinear parameters in relativistic mean field models, ensuring stable equations of state at high densities and analyzing instabilities.

Contribution

It introduces new criteria for nonlinear parameter estimation in RMF models based on meson effective masses and stability considerations.

Findings

Criteria effectively predict stable high-density equations of state.

Analysis reveals the importance of vector and vector-scalar nonlinear terms.

Systematic assessment of high-density instabilities in RMF parameter sets.

Abstract

Based on the properties of the critical and the actual effective masses of sigma and omega mesons, criteria to estimate the values of the isoscalar nonlinear terms of the standard relativistic mean field model that reproduce stable equations of state in respect to particle hole excitation at high densities are derived. The relation between nuclear matter stability and the symmetric nuclear matter properties are shown. The criteria are used to analyze in a more systematic way the high-density longitudinal and transverse instabilities of some parameter sets of relativistic mean field models. The critical role of the vector and vector-scalar nonlinear terms is also discussed quantitatively.