Neutrino emissivity of ${}^3{P}_2$-${}^3{F}_2$ superfluid cores in neutron stars

Abstract

The influence of the admixture of the ${}^3{F}_2$ state onto collective spin oscillations and neutrino emission processes in the triplet superfluid neutron liquid is studied in the BCS approximation. The eigen mode of spin oscillations with $\omega \simeq \sqrt{58/35}\Delta$ is predicted to exist in the triplet superfluid neutron condensate besides the already known mode $\omega \simeq \Delta /\sqrt{5}$. Excitation of the high-frequency spin oscillations in the condensate occurs through the tensor interactions between quasiparticles. Neutrino energy losses through neutral weak currents are found to consist of three separate contributions caused by a recombination of broken Cooper pairs and by weak decays of the collective modes of spin oscillations. Neutrino decays of the low-frequency spin waves can play an important role in the cooling scenario of neutron stars. Weak decays of the high-frequency oscillations that occur only if the tensor forces are taken into account in the pairing interactions does not modify substantially the total energy losses. Simple expressions are suggested for the total neutrino emissivity.

27 pages, 3 figures

References in corpus (4)

• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• Cooling neutron star in the Cassiopeia~A supernova remnant: Evidence for superfluidity in the core
• BCS approximation to the effective vector vertex of superfluid fermions
• Superfluid phases of triplet pairing and neutrino emission from neutron stars

Cited by in corpus (21)

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• Neutrino emissivity of anisotropic neutron superfluids
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Collective excitations of a quantized vortex in ${}^3{P}_2$ superfluids in neutron stars
• Cooling compact stars and phase transitions in dense QCD
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Domain walls in neutron ${}^3{P}_2$ superfluids in neutron stars
• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
• Neutrino emissivity from Goldstone boson decay in magnetized neutron matter
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars