Asymmetry of the neutrino mean free path in hot neutron matter under strong magnetic fields

Abstract

The neutrino mean free path in neutron matter under a strong magnetic field is evaluated for the inelastic scattering reaction and studied as a function of the neutron matter density in the range $0.05\le \rho \le 0.4$ fm${}^{-3}$ for several temperatures up to 30 MeV and magnetic field strengths B=0 G, $10^{18}$ G and $2.5\times 10^{18}$ G. Polarized neutron matter is described within the non--relativistic Brueckner--Hartree--Fock (BHF) approach using the Argonne V18 nucleon-nucleon potential supplemented with the Urbana IX three-nucleon force. Explicit expressions of the cross section per unit volume for the scattering of a neutrino with a spin up or spin down neutron are derived from the Fermi Golden rule. Our results show that the mean free path depends strongly on the angle of the incoming neutrino, leading to an asymmetry in this quantity. This asymmetry depends on the magnetic field intensity and on the density, but it is rather independent of the temperature. For a density of $0.16$ fm${}^{-3}$ at a temperature T$=30$MeV, the asymmetry in the mean free path is found to be of $\sim 15\%$ for B=$10^{18}$G and $\sim 38\%$ for B=$2.5\times 10^{18}$G.

32 pages, 9 figures

References in corpus (7)

• Neutrino-driven winds from neutron star merger remnants
• Neutrino Flavor Evolution in Binary Neutron Star Merger Remnants
• The Neutrino Response of Low-Density Neutron Matter from the Virial Expansion
• Pulsar kicks by anisotropic neutrino emission from quark matter in strong magnetic fields
• Charged-current reactions in the supernova neutrino-sphere
• Asymmetric Neutrino Production in Strongly Magnetized Proto-Neutron Stars
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Cited by in corpus (5)

• Limiting magnetic field for minimal deformation of a magnetised neutron star
• Critical properties of calibrated relativistic mean-field models for the transition to warm, non-homogeneous nuclear matter
• Asymmetry of the neutrino mean free path in partially spin polarized neutron matter within the Skyrme model
• Hot and highly magnetized neutron star matter properties with Skyrme interactions
• Effect of chiral nuclear forces on the neutrino mean free path in hot neutron matter