Neutrino emission from triplet pairing of neutrons in neutron stars

Abstract

Neutrino emission due to the pair breaking and formation processes in the bulk triplet superfluid in neutron stars is investigated with taking into account of anomalous weak interactions. We consider the problem in the BCS approximation discarding Fermi-liquid effects. In this approach we derive self-consistent equations for anomalous vector and axial-vector vertices of weak interactions taking into account the ${}^3{P}_2{-}^3{F}_2$ mixing. Further we simplify the problem and consider the pure ${}^3{P}_2$ pairing with $m_j=0$, as is adopted in the minimal cooling paradigm. As was expected because of current conservation we have obtained a large suppression of the neutrino emissivity in the vector channel. More exactly, the neutrino emission through the vector channel vanishes in the nonrelativistic limit $V_F=0$. The axial channel is also found to be moderately suppressed. The total neutrino emissivity is suppressed by a factor of $1.9\times 10^{-1}$ relative to original estimates using bare weak vertices.

22 pages, 4 figures

References in corpus (6)

• Neutrino Emission from Cooper Pairs and Minimal Cooling of Neutron Stars
• Neutrino emission due to Cooper-pair recombination in neutron stars revisited
• Vertex renormalization in weak decays of Cooper pairs and cooling compact stars
• Superfluid Response and the Neutrino Emissivity of Neutron Matter
• BCS approximation to the effective vector vertex of superfluid fermions
• Superfluid response and the neutrino emissivity of baryon matter: Fermi-liquid effects

Cited by in corpus (49)

• Cooling neutron star in the Cassiopeia~A supernova remnant: Evidence for superfluidity in the core
• Neutron stars - cooling and transport
• Neutron Stars and the Nuclear Equation of State
• Thermal luminosities of cooling neutron stars
• Pairing in high-density neutron matter including short- and long-range correlations
• Pairing in high-density neutron matter including short- and long-range correlations
• Magnetic neutron star cooling and microphysics
• Axion mass limit from observations of the neutron star in Cassiopeia A
• Thermal evolution and quiescent emission of transiently accreting neutron stars
• Superfluid phases of triplet pairing and rapid cooling of the neutron star in Cassiopeia A
• Constraining Superfluidity in Dense Matter from the Cooling of Isolated Neutron Stars
• Influence of the stiffness of the equation of state and in-medium effects on the cooling of compact stars
• Magnetic Properties of Quantized Vortices in Neutron ${}^3{P}_2$ Superfluids in Neutron Stars
• Collective modes of the order parameter in a triplet superfluid neutron liquid
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Zero sound in triplet-correlated superfluid neutron matter
• Neutrino emission from spin waves in neutron spin-triplet superfluid
• Neutrino emissivity of ${}^3{P}_2$-${}^3{F}_2$ superfluid cores in neutron stars
• Neutrino emissivity of anisotropic neutron superfluids
• Spin Response and Neutrino Emissivity of Dense Neutron Matter
• Superfluid phases of triplet pairing and neutrino emission from neutron stars
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Cooling of neutron stars in soft X-ray transients
• Collective excitations of a quantized vortex in ${}^3{P}_2$ superfluids in neutron stars
• Model-independent constraints on superfluidity from the cooling neutron star in Cassiopeia A
• Impact of axions on the Cassiopea A neutron star cooling
• Constraints on neutron star superfluidity from the cooling neutron star in Cassiopeia A using all Chandra ACIS-S observations
• Self-similarity relations for cooling superfluid neutron stars
• Superfluid nucleon matter in and out of equilibrium and weak interactions
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Domain walls in neutron ${}^3{P}_2$ superfluids in neutron stars
• Fast cooling and internal heating in hyperon stars
• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
• New eigen-mode of spin oscillations in the triplet superfluid condensate in neutron stars
• Coexistence phase of ${}^1{S}_0$ and ${}^3{P}_2$ superfluids in neutron stars
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars
• Nonlinear approach to the entrainment matrix of superfluid nucleon mixture at zero temperature
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Neutron star cooling and mass distributions
• Quiescent luminosities of accreting neutron stars with different equation of states
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Cooling of dark neutron stars
• Hybrid cooling of the Cassiopeia A neutron star
• Neutrino emission from Cooper pairs at finite temperatures
• 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
• First detection of X-ray pulsations and spectrum of the high Galactic latitude pulsar PSR J0837-2454 and direct Urca cooling implications
• Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between ${}^1{\text{S}}_0$ pairing and spin polarization under finite temperature and magnetic field