Explicit form of the nucleonic chemical potential in nuclear matter on the basis of Thomas-Fermi approximation

Abstract

By using the semi-classical Thomas-Fermi approximation in the framework of a phenomenological mean-field model, an explicit form of nucleonic chemical potential at different temperatures and densities is obtained. At finite temperatures, based on an extended statistical model, within Landau phenomenological theory, this explicit form is determined in terms of a new quantity known as extended effective mass which is a function of temperature, density and asymmetry parameter. By introducing the explicit form of nucleonic chemical potential, a new model for determination of the nuclear equation of state at different temperatures and densities with a behavior in agreement with the other elaborated theoretical models in this field is presented.