Higher Angular Momentum Mixing in a Non-spherical Color Superconductor with Time Reversal Invariance Violation

TL;DR

This paper investigates angular momentum mixing in a non-spherical color superconductor that violates time reversal symmetry, showing that mixing lowers free energy compared to p-wave pairing but remains higher than the spherical CSL state.

Contribution

It introduces the concept of angular momentum mixing in non-spherical color superconductors with time reversal violation, highlighting its effects on free energy.

Findings

Mixing occurs due to equal pairing potential across partial waves.

Free energy with mixing is lower than p-wave only pairing.

Spherical CSL state remains energetically favored.

Abstract

The angular momentum mixing in a non-spherical CSC with nonzero azimuthal quantum number and therefore violating time reversal invariance has been examined. The mixing is bound to occur because of the equal strength of the pairing potential mediated by one-gluon exchange for all partial waves to the leading order QCD running coupling constant and the nonlinearity of the gap equation. The free energy with mixing is lower than that with p-wave pairing only, but still higher than that of the spherical CSL state.