The baryon mass calculation in the chiral soliton model at finite temperature and density

TL;DR

This paper investigates how the baryon mass, modeled via a chiral soliton, varies with temperature and density, emphasizing the importance of correct thermal potential treatment for accurate results.

Contribution

It introduces a method to accurately compute baryon mass in a thermal medium within the chiral soliton model, highlighting the proper handling of the thermal effective potential.

Findings

Baryon mass depends on temperature and density.

Proper treatment of the thermal potential yields finite baryon masses.

Results are explicitly presented for various thermal conditions.

Abstract

In the mean-field approximation, we have studied the soliton which is embedded in a thermal medium within the chiral soliton model. The energy of the soliton or the baryon mass in the thermal medium has been carefully evaluated, in which we emphasize that the thermal effective potential in the soliton energy should be properly treated in order to derive a finite and well-defined baryon mass out of the thermal background. The result of the baryon mass at finite temperatures and densities in chiral soliton model are clearly presented.