Color Superconductivity with Non-Degenerate Quarks

Abstract

In dense quark matter, the response of the color superconducting gaps to a small variation, $\delta\mu$, in the chemical potential of the strange quark was studied. The approximation of three massless flavors of quarks and a general ansatz for the color flavor structure of the gap matrix was used. The general pole structure of the quasi-particle propagator in this ansatz is presented. The gap equation was solved using both an NJL interaction model and perturbative single gluon exchange at moderate densities and results are presented for varying values of $\delta\mu$. Quantitative and qualitative differences in the dependence of the gaps on $\delta\mu$ were found.