Relativistic Mean-Field Models and Nuclear Matter Constraints

TL;DR

This paper evaluates 147 relativistic mean-field models for nuclear matter, analyzing their behavior against empirical constraints to identify models consistent with known nuclear properties.

Contribution

It provides a comprehensive comparison of various RMF models using a broad set of macroscopic nuclear matter constraints, highlighting their strengths and limitations.

Findings

Certain models satisfy most empirical constraints

Density-dependent models show improved agreement

Linear models are less consistent with constraints

Abstract

This work presents a preliminary study of 147 relativistic mean-field (RMF) hadronic models used in the literature, regarding their behavior in the nuclear matter regime. We analyze here different kinds of such models, namely: (i) linear models, (ii) nonlinear \sigma^3+\sigma^4 models, (iii) \sigma^3+\sigma^4+\omega^4 models, (iv) models containing mixing terms in the fields \sigma and \omega, (v) density dependent models, and (vi) point-coupling ones. In the finite range models, the attractive (repulsive) interaction is described in the Lagrangian density by the \sigma (\omega) field. The isospin dependence of the interaction is modeled by the \rho meson field. We submit these sets of RMF models to eleven macroscopic (experimental and empirical) constraints, used in a recent study in which 240 Skyrme parametrizations were analyzed. Such constraints cover a wide range of properties related to symmetric nuclear matter (SNM), pure neutron matter (PNM), and both SNM and PNM.