Relativistic Mean-Field Model with Scaled Hadron Masses and Couplings

TL;DR

This paper refines a relativistic mean-field model by including meson excitations and particle width effects, analyzing the model's consistency and proposing improvements for better accuracy in describing hadronic matter.

Contribution

It extends the SHMC model by incorporating meson excitations and particle widths, and discusses the impact of loop corrections on model consistency.

Findings

Inclusion of meson excitations affects the equations of motion.

Particle width effects are significant for model accuracy.

Perturbative loop corrections can destabilize the model.

Abstract

Here we continue to elaborate properties of the relativistic mean-field based model (SHMC) proposed in ref. [6] where hadron masses and coupling constants depend on the $\sigma$-meson field. The validity of approximations used in [6] is discussed. We additionally incorporate contribution of meson excitations to the equations of motion. We also estimate the effects of the particle width. It is demonstrated that the inclusion of the baryon-baryon hole and baryon-antibaryon loop terms, if performed perturbatively, destroys the consistency of the model.