Asymmetry of the neutrino mean free path in partially spin polarized neutron matter within the Skyrme model

TORRES PATIÑO, J.; BAUER, E.

Physical Review C

American Physical Society

Lugar: New York; Año: 2020 vol. 101

2469-9985

The asymmetry in the neutrino mean free path for the absorption reaction ν + n → e− + p is evaluated withinhot neutron matter under a strong magnetic field. We consider densities in the range 0.05 ρ 0.4 fm−3,several temperatures up to 30 MeV, and magnetic field strengths from B = 0 up to B = 1018 G. Polarizedneutron matter is described within the nonrelativistic Hartree-Fock model using the LNS Skyrme interaction. Theneutrino mean free path has a weak dependence on the temperature and, in the strong magnetic field region, itdecreases for growing values of it. This contrasts with the scattering reaction ν + n → ν + n, where the averagemean free path is almost independent of the magnetic field and has a strong dependence on the temperature. Wehave evaluated the asymmetry from both the absorption and scattering reactions. Our results shows that the totalasymmetry depends on the magnetic field intensity, the density, and the temperature. For a density of 0.16 fm−3and for a magnetic field strength of B = 1017 G, the asymmetries in the mean free path are found to be ≈9% and≈3.4% for temperatures of T = 15 and 30 MeV, respectively. The same set of asymmetries for B = 1018 G is≈58% and ≈48%.