Neutrino mean free paths in spin-polarized neutron Fermi liquids

Abstract

Neutrino mean free paths in magnetized neutron matter are calculated using the Hartree-Fock approximation with effective Skyrme and Gogny forces in the framework of the Landau Fermi Liquid Theory. It is shown that describing nuclear interaction with Skyrme forces and for magnetic field strengths $lo{g}_{10}B(G)\gtrsim 17$, the neutrino mean free paths stay almost unchanged at intermediate densities but they largely increase at high densities when they are compared to the field-free case results. However the description with Gogny forces differs from the previous and mean free paths stay almonst unchanged or decrease at densities $[1-2]{\rho }_0$. This different behaviour can be explained due to the combination of common mild variation of the Landau parameters with both types of forces and the values of the nucleon effective mass and induced magnetization of matter under presence of a strong magnetic field as described with the two parametrizations of the nuclear interaction.

arXiv comment9 pages, 3 figures

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• Enhanced neutrino emissivities in pseudoscalar-mediated Dark Matter annihilation in Neutron Stars
• Diffusion of dark matter in a hot and dense nuclear environment
• Asymmetry of the neutrino mean free path in hot neutron matter under strong magnetic fields
• Asymmetry of the neutrino mean free path in partially spin polarized neutron matter within the Skyrme model
• Production of unstable heavy neutrinos in proto-neutron stars
• Neutrino signals from Neutron Star implosions to Black Holes