2006/05/31 by Qun Wang, Zhigang Wang, Zhi-gang Wang +1 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #gr-qc #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.74.014021
published as Phys.Rev. D74 (2006) 014021 · 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
arxiv created 2006/06/30 · openalex publication_date 2006/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Nambu-Jona-Lasinio 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 pF\ensuremath≈\ensuremathμ(1\ensuremath-\ensuremathκ) with \ensuremathκ depending on coupling constants. We find in the weak coupling regime that \ensuremathκ is a monotonically 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.