Comparison of the Linear Sigma Model and Chiral Perturbation Theory for Nucleon Properties

Abstract

We compare the static nucleon properties in the Chiral Perturbation Theory ( χ PT) and the Linear Sigma Model (LSM). We consider a chiral model for the nucleon which is based on the linear sigma model with scalar-isoscalar and scalarisovector mesons coupled to quarks. We have solved the field equations in the mean field approximation for the hedgehog baryon state with different sets of model parameters. A good investigation of some static nucleon properties is obtained by the LSM.