Nucleon Properties Below the Critical Point Temperature

Abstract

In this paper, we extended our work (Abu-Shady, Int. J. Theory Phys. 49:2425Phys. 49: , 2010 to include nucleon properties. The field equations have been solved in the mean-field approximation using the effective mesonic potential at finite temperature. We found that the nucleon first mass increases up to 4 5 T c MeV (where T c is the critical point temperature) then decreases at higher values of temperature which approach the critical temperature (T c ). In addition, we found that the magnetic moments of the proton and neutron can be increased by increasing the temperature up to the critical temperature. Moreover, we examined the axial coupling constant g A (0), and the pion-nucleon coupling constant g πNN (0) as functions of temperature. The obtained results are compared with previous works. From the results, we conclude that finite temperature plays a significant role in the change of behavior of nucleon properties.Keywords The linear sigma model · The mean field approximation · Finite temperature field theory M. Abu-Shady ( )

Modifications on nucleon parameters at finite temperature

“…In the case of mass, our results on the variation of the mass of the nucleon are in agreement with those of [8,11]. Although are also in good agreements at low temperatures, our results on the behavior of the mass with respect to temperature are in contradiction with those of [7,9,10,[12][13][14] at high temperatures.…”

“…In the literature, there are a lot of studies on the investigation of the hadronic parameters at finite temperature, but only a few of them have been devoted to the analysis of the modifications of parameters such as the mass and residue of the nucleon at finite temperature [7][8][9][10][11][12][13][14]. In [7], the nucleon mass and its residue as a function of the temperature have been investigated using the correlation function of a three-quark current with the help of the virial expansion.…”

“…In [11], the nucleon mass at finite temperature has been calculated using Bethe-Salpeter equation (BSE) by observing that the nucleon mass decreases smoothly with temperature. In [12], the nucleon properties below the critical point temperature have been investigated. The author has solved the field equations in the mean-field approximation using the effective mesonic potential at finite temperature and found that the nucleon mass increases up to 4 5 T c MeV then decreases near to the critical temperature T c .…”

The Masses of Heavy Pentaquarks in Non-Relativistic Bethe-Salpeter Quark Model

“…Mesons and baryons (and so multiquark states) can be described by QCD models, in a medium [1][2][3][4][5][6][7][8]. Diquark interactions appear to play an important role in hadron physics, according to QCD [9], the only requirement for these states is to be color singlets.…”

Magnetic Catalysis in the Higher-Order Quark Sigma Model

“…In addition, the quark sigma model is successfully applied to the description of static and dynamic baryon properties at finite temperature and density as in Refs. [12,13,14,15,16,17].…”