Phase space and quark mass effects in neutrino emissions in a color superconductor

Qun Wang; Zhi-gang Wang; Jian Wu

doi:10.1103/PhysRevD.74.014021

paper

Phase space and quark mass effects in neutrino emissions in a color superconductor

arXiv:hep-ph/0605092 · doi:10.1103/PhysRevD.74.014021

Abstract

We study the phase space for neutrino emissions with massive quarks in direct Urca processes in normal and color superconducting quark matter. We derive in QCD and the NJL model the Fermi momentum reduction resulting from Fermi liquid properties which opens up the phase space for neutrino emissions. The relation between the Fermi momentum and chemical potential is found to be $p_{F} \approx μ (1 - κ)$ with $κ$ depending on coupling constants. We find in the weak coupling regime that $κ$ is a monotonously increasing function of the chemical potential. This implies quenched phase space for neutrino emissions at low baryon densities. We calculate neutrino emissivities with massive quarks in a spin-one color superconductor. The quark mass corrections are found to be of the same order as the contributions in the massless case, which will bring sizable effects on the cooling behavior of compact stars.

arXiv commentRevTex 4, 18 pages, 4 figures. An error in the third line of Eq. (13) is corrected. The definition of the coefficients B in Eq. (12) is modified. The physical solution of κ(μ) is fixed. The conclusion about the trend of phase space for neutrino emissions varied with the chemical potential is more definite than previous version. Phys. Rev. D accepted version

Phase space and quark mass effects in neutrino emissions in a color superconductor

Abstract

References in corpus (51)

Cited by in corpus (17)