Neutrino emission due to Cooper-pair recombination in neutron stars reexamined
E. E. Kolomeitsev, D. N. Voskresensky
DOI 10.1103/PhysRevC.77.065808 · Physical Review C
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Abstract
Neutrino emission in processes of breaking and formation of neutron and proton Cooper pairs is calculated within the Larkin-Migdal-Leggett approach for a superfluid Fermi liquid. We demonstrate explicitly that the Fermi-liquid renormalization respects the Ward identity and ensures the weak vector-current conservation. The systematic expansion of the emissivities for small temperatures and nucleon Fermi velocity vF,i,i=n,p, is performed. Both neutron and proton processes are mainly controlled by the axial-vector current contributions, which are not strongly changed in the superfluid matter. Thus, compared to earlier calculations, the total emissivity of processes on neutrons paired in the 1S0 state is suppressed by a factor of ≃(0.9−1.2)vF,n2. A similar suppression factor (~vF,p2) arises for processes on protons.
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