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

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 nonrelativistic Hartree-Fock approximation at zero temperature. 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 nonmagnetized case for fields log{sub 10} B(G) > or approx. 17.