Skyrme models and nuclear matter equation of state

TL;DR

This paper explores the role of pressure in generalized Skyrme models, deriving analytical and numerical equations of state, and compares these results with the Walecka model to understand nuclear matter properties.

Contribution

It introduces a novel analytical approach to derive the equation of state in Skyrme models and identifies the contributions of different terms, enhancing understanding of nuclear matter.

Findings

Analytical equations of state in high and medium pressure regimes.

Numerical analysis of charge one skyrmions.

Comparison with Walecka model results.

Abstract

We investigate the role of pressure in a class of generalised Skyrme models. We introduce pressure as the trace of the spatial part of the energy-momentum tensor and show that it obeys the usual thermodynamical relation. Then, we compute analytically the mean-field equation of state in the high and medium pressure regimes by applying topological bounds on compact domains. The equation of state is further investigated numerically for the charge one skyrmions. We identify which term in a generalised Skyrme model is responsible for which part in the equation of state. Further, we compare our findings with the corresponding results in the Walecka model.