Mass Effect in Single Flavor Color Superconductivity

TL;DR

This paper investigates how the strange quark mass influences the phase diagram and properties of single flavor color superconductivity, providing analytical expressions and examining magnetic field effects.

Contribution

It introduces analytical forms for quasi-particle energies with arbitrary mass and analyzes the mass correction effects on pressure and transition temperature in single flavor color superconductivity.

Findings

Mass reduces pressure and transition temperature for strange quarks.

The pressure ranking among phases remains unchanged despite mass effects.

The phase diagram with magnetic field and mass effects is constructed and compared to massless approximations.

Abstract

The nonzero strange quark mass effect in different types of single flavor color superconductivity and the phase diagram in a magnetic field are studied. We have obtained simple analytical forms of the quasi-particle energies for an arbitrary mass and explored the mass correction to the pressure and the transition temperature. It is found that the mass reduces the pressure and transition temperature of strange quarks, but it doesn't change the ranking $P_n<P_{\rm A}<P_{\rm polar}<P_{\rm planar}<P_{\rm CSL}$ of the pressure for the four canonical single flavor phases. The phase diagram with magnetic field and temperature for a system of three flavors is obtained for two different values of the strange quark mass. The changes from the one obtained previously under the approximation of massless strange quarks are examined.