Nucleon Properties from Approximating Chiral Quark Sigma Model

TL;DR

This paper applies an approximating chiral quark model based on an effective Lagrangian to compute nucleon properties, solving field equations in the mean field approximation for the hedgehog baryon state, achieving good results.

Contribution

It introduces an approximation to the chiral quark sigma model and demonstrates its effectiveness in calculating nucleon properties.

Findings

Good agreement with original model results.

Effective mean field approximation for hedgehog baryon.

Validation of the approximating model's accuracy.

Abstract

We apply the approximating chiral quark model. This chiral quark model is based on an effective Lagrangian which the interactions between quarks via sigma and pions mesons. The field equations have been solved in the mean field approximation for the hedgehog baryon state. Good results are obtained for nucleon properties in comparison with original model.