Neutrino mean free paths in spin-polarized neutron Fermi liquids

TL;DR

This paper investigates how strong magnetic fields affect neutrino mean free paths in spin-polarized neutron matter using Skyrme and Gogny forces within Landau Fermi Liquid Theory, revealing force-dependent behaviors at various densities.

Contribution

It provides a comparative analysis of neutrino mean free paths in magnetized neutron matter using two different nuclear force models within a Landau Fermi Liquid framework, highlighting their distinct density-dependent behaviors.

Findings

Skyrme forces lead to increased neutrino mean free paths at high densities under strong magnetic fields.

Gogny forces show almost unchanged or decreased mean free paths at certain densities.

Behavior differences are linked to variations in Landau parameters, effective mass, and magnetization under magnetic fields.

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 $log_{10} B(G) \gtrsim 17$, 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.