Spatial structure of quark Cooper pairs in a color superconductor

TL;DR

This paper investigates the spatial structure of quark Cooper pairs in color superconductors by solving the gap equation across all momentum ranges, revealing how pair properties evolve with density.

Contribution

It provides a detailed analysis of the spatial structure of quark Cooper pairs without relying on the weak coupling approximation, highlighting density-dependent changes.

Findings

Gap and coherence length vary weakly with density.

Pair wave function shape changes significantly with density.

Quark Cooper pairs become more bosonic at higher densities.

Abstract

Spatial structure of Cooper pairs with quantum numbers color 3^*, I=J=L=S=0 in ud 2 flavor quark matter is studied by solving the gap equation and calculating the coherence length in full momentum range without the weak coupling approximation. Although the gap at the Fermi surface and the coherence length depend on density weakly, the shape of the r-space pair wave function varies strongly with density. This result indicates that quark Cooper pairs become more bosonic at higher densities.