Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-05-09
Phys.Rev. D74 (2006) 014021
Physics
High Energy Physics
High Energy Physics - Phenomenology
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
Scientific paper
10.1103/PhysRevD.74.014021
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.
Wang Qiangguo
Wang Zhi-Gang
Wu Jian
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