Static properties of skyrmions and nucleons at finite isospin chemical potential

Abstract

We use the Skyrme Lagrangian with a finite pion mass term to study the stability of the skyrmion at finite isospin chemical potential [Formula: see text]. It is found that there is a critical value [Formula: see text] MeV, and there is no stable solution above the [Formula: see text]. We also explore the behavior of different skyrmion parameters as a function of [Formula: see text], in particular the isovector electric root-mean-square (rms) charge radius in this work. Then, using the Hamiltonian formulation, in terms of collective variables, we study the behavior of nucleons mass splitting at finite isospin chemical potential. We find the proton mass decreases and the neutron mass increases when [Formula: see text]. Finally, we also discuss the magnetic moments and the pion-nucleon sigma term [Formula: see text] as a function of isospin chemical potential for interest.