Asymmetric neutrino reaction and pulsar kick in magnetized proto-neutron stars in fully relativistic framework

Abstract

We calculate neutrino scattering and absorption on the hot and dense neutron-star matter with hyperons under the strong magnetic field using a perturbative approach. We find that the absorption cross-sections show a remarkable angular dependence. Its strength is reduced in the direction parallel to the magnetic field and enhanced in the opposite direction. This asymmetric variation becomes maximally 2.2 % of entire neutrino momentum when the magnetic field is assumed as about 2 × 1017 G. Since the pulsar kick after the supernova explosion may have relationships to this asymmetry, detailed discussions about the pulsar kick and the asymmetry are presented with the comparison to the observed kick velocities in a fully relativistic approach. © 2012 American Institute of Physics.