Response of spin polarized neutron matter under the presence of a strong magnetic field with Skyrme interactions

TL;DR

This paper investigates how strong magnetic fields affect the response and neutrino interactions in spin-polarized neutron matter using Skyrme interactions within Landau Fermi Liquid Theory.

Contribution

It introduces a detailed analysis of the collective modes and neutrino mean free path in magnetized neutron matter with Skyrme forces, highlighting the impact of magnetic fields.

Findings

Neutrino opacity decreases with strong magnetic fields.

Magnetized matter shows altered collective response functions.

Neutrino mean free path increases in strong magnetic fields.

Abstract

The effects of a strong magnetic field in the dynamical response of a pure neutron system to a weak neutrino probe are studied within the framework of the Landau Fermi Liquid Theory in the non-relativistic Hartree-Fock approximation. We use Skyrme forces to parametrize the partially magnetized nuclear interacting plasma and describe its collective modes. We study the vector and vector-axial matter response functions and the neutrino mean free path in this two-component fermion system with net spin polarization and density dependent in-medium correlations. We find a decrease in the neutrino opacity of magnetized matter with respect to the non-magnetized case for fields $log_{10} B(G) \gtrsim 17$.