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

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 $p_F\approx \mu (1-\kappa )$ with $\kappa$ depending on coupling constants. We find in the weak coupling regime that $\kappa$ 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.

RevTex 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

References in corpus (6)

• Two lectures on color superconductivity
• Chromomagnetic instability in dense quark matter
• Novel Phases at High Density and their Roles in the Structure and Evolution of Neutron Stars
• Stable gapless superconductivity at strong coupling
• Pulsar kicks via spin-1 color superconductivity
• Absence of the London limit for the first-order phase transition to a color superconductor

Cited by in corpus (10)

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• Bulk viscosity in nuclear and quark matter: A short review
• Critical temperature for kaon condensation in color-flavor locked quark matter
• Baryon number conservation and enforced electric charge neutrality for bulk viscosity in quark matter
• Neutrino Emission From Direct Urca Processes in Pion Condensed Quark Matter
• Spin-one color superconductors: collective modes and effective Lagrangian
• Neutrino Emission From Inhomogeneous Pion Condensed Quark Matter
• Neutrino radiation from dense matter