Improved Nucleon Properties in the Extended Quark Sigma Model

TL;DR

This paper introduces an extended quark sigma model with a new mesonic potential, solving field equations in the mean-field approximation to accurately predict nucleon properties, aligning well with previous models and QCD insights.

Contribution

The paper proposes a novel mesonic potential within the quark sigma model, improving the calculation of nucleon properties in the mean-field approximation.

Findings

Successfully calculates nucleon properties

Aligns with previous models and QCD aspects

Demonstrates the effectiveness of the new mesonic potential

Abstract

The quark sigma model describes the quarks interacting via exchange the pions and sigma meson fields. A new version of mesonic potential is suggested in the frame of some aspects of the quantum chromodynamics (QCD). The field equations have been solved in the mean-field approximation for the hedgehog baryon state. The obtained results are compared with previous works and other models. We conclude that the suggested mesonic potential successfully calculates nucleon properties.