Analysis of critical parameters for nonrelativistic models in symmetric nuclear matter

TL;DR

This paper compares various nonrelativistic models of symmetric nuclear matter at finite temperature, focusing on their critical parameters for phase transitions and revealing universal behaviors and model-specific differences.

Contribution

It provides a comprehensive analysis of critical parameters across multiple models, highlighting universality and correlations in nuclear matter phase transitions.

Findings

Critical parameters agree with experimental and theoretical values.

Universal behavior in the gaseous phase across models.

Critical temperature increases with critical pressure.

Abstract

In this work we have analyzed several features of symmetric nuclear matter (SNM) at finite temperature described by different zero- and finite-range nonrelativistic families of models, namely, Skyrme, Gogny, Momentum-dependent interaction (MDI), Michigan three-range Yukawa (M3Y) and Simple Effective Interaction (SEI). We have calculated the critical parameters (CP) associated to the liquid-gas phase coexistence for nuclear matter from these parametrizations and show that they are in agreement with their experimental and theoretical values obtained in the literature. Our study also points out to a strong evidence of universality presented by the hadronic models, namely, model independence in the gaseous phase and distinguishability among different interactions in the liquid phase. We have performed a correlation study among different CP and SNM properties. Such studies involving different finite range interactions are scarce in literature. The analyzed models show an overall increasing trend of the critical temperature as a function of critical pressure.