Angular Momentum Mixing in a Non-spherical Color Superconductor

TL;DR

This paper investigates how angular momentum mixing affects non-spherical color superconductors, deriving a gap equation that includes all odd-parity angular momentum states, leading to a more stable phase than previously known.

Contribution

It introduces a comprehensive analysis of angular momentum mixing in non-spherical color superconductors, extending beyond p-wave pairing to include all odd-parity partial waves.

Findings

The gap equation incorporates all odd-parity angular momentum states.

The solution yields a lower free energy than p-wave only models.

Angular momentum mixing stabilizes the non-spherical phase.

Abstract

We study the angular momentum mixing effects in the color superconductor with non-spherical pairing. We first clarify the concept of the angular momentum mixing with a toy model for non-relativistic and spinless fermions. Then we derive the gap equation for the polar phase of dense QCD by minimizing the CJT free energy. The solution of the gap equation consists of all angular momentum partial waves of odd parity. The corresponding free energy is found to be lower than that reported in the literature with p-wave only.