Magnetization of a neutron plasma with Skyrme and Gogny forces in the presence of a strong magnetic field

Abstract

Some thermodynamical magnitudes of interest in a pure neutron plasma are studied within the framework of the non-relativistic Brueckner-Hartree-Fock approximation at finite density and temperature. We use Skyrme and Gogny forces to describe such a neutron plasma and study the main differences that arise in these two effective parametrizations of the nuclear interaction when a strong magnetic field induces a permanent magnetization in the gas. The existence of a non-zero permanent spin polarization in a neutron plasma is explored in the density-temperature parameter space. We find that for moderate temperatures and in the low density range up to densities $\approx 0.5{\rho }_0$ both parametrizations predict that as density decreases an increasingly strong magnetization is allowed. In the range $0.5{\rho }_0\lesssim \rho \lesssim 3{\rho }_0$ there is an approximately constant polarization that can be as big as $\approx 12$ for the maximum allowed interior magnetic field $B\approx 10^{18}$ G. For higher densities there is a dramatic difference in the polarization trend followed by Skyrme an Gogny forces. While the former predict a ferromagnetic phase transition, the Gogny forces prevent it keeping the magnetization below 5%.

21 pages, 16 figures, 1 table

References in corpus (3)

• Simulation of Transitions between "Pasta" Phases in Dense Matter
• The Neutrino Response of Low-Density Neutron Matter from the Virial Expansion
• Ferromagnetic instabilities in neutron matter at finite temperature with the Gogny interaction

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• Dense nuclear matter and symmetry energy in strong magnetic fields
• Finite temperature effects on spin polarization of neutron matter in a strong magnetic field
• Magnetized hot neutron matter: lowest order constrained variational calculations
• Estimating magnetar radii with an empirical meta-model
• Neutrino mean free paths in spin-polarized neutron Fermi liquids
• Hot and highly magnetized neutron star matter properties with Skyrme interactions
• Probing ALP-photon couplings in Neutron Stars: Scalar versus pseudoscalar cases