The effect of finite temperature and chemical potential on nucleon properties in the logarithmic quark sigma model
Department of Applied Mathematics, Faculty of Science, Menoufia University, Al Minufya, Egypt
* e-mail: firstname.lastname@example.org
Accepted: 10 November 2015
Published online: 14 December 2015
The logarithmic quark sigma model is applied to study the nucleon properties at finite temperature and chemical potential. The field equations have been solved numerically in the mean-field approximation by using the extended iteration method at finite temperature and baryon chemical potential. Baryon properties are investigated, such as the hedgehog mass, the magnetic moments of the proton and neutron, and the pion-nucleon coupling constant. We find that the hedgehog mass and the magnetic moments of the proton and neutron increase with increasing temperature and chemical potential, while the pion-nucleon coupling constant decreases. A comparison with the original sigma model and QCD sum rules is presented. We conclude that the logarithmic quark sigma model successfully describes baryon properties of a hot and dense medium.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015