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arXiv · 0802.1404

Neutrino emission due to Cooper-pair recombination in neutron stars revisited

E. E. Kolomeitsev·D. N. Voskresensky
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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 assures the weak vector current conservation. The systematic expansion of the emissivities for small temperatures and nucleon Fermi velocity, v_{F,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 1S_0 state is suppressed by a factor ~(0.9-1.2) v_{F,n}^2. A similar suppression factor (~v_{F,p}^2) arises for processes on protons.

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E. E. Kolomeitsev, D. N. Voskresensky. 2008-02-11. Neutrino emission due to Cooper-pair recombination in neutron stars revisited. https://doi.org/10.1103/physrevc.77.065808

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