General quasiparticle propagator and mass dependence in degenerate spin zero color superconductivity

Todd Fugleberg

doi:10.1103/PhysRevD.67.034013

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General quasiparticle propagator and mass dependence in degenerate spin zero color superconductivity

Todd Fugleberg

DOI 10.1103/PhysRevD.67.034013 · Physical Review D

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Abstract

The general quasiparticle propagator in dense quark matter including all spin zero diquark condensates is derived for equal mass quarks. Specialized to an NJL model, this propagator includes one new condensate Δ3 in addition to the usual CFL condensate Δ1. The gap equation is solved in two NJL models and the dependence on the quark mass of the condensates and the gap is presented. Analytic approximations for the condensates are obtained and compared to exact numerical solutions. The results are shown to differ from those obtained by neglecting Δ3, especially for smaller values of Δ1. The two different NJL models presented are also shown to give different results when Δ3 is not neglected. The methods used in this paper can be generalized to the physical case where only the strange quark is significantly massive.