Asymmetric neutrino reaction in magnetized proto-neutron stars in fully relativistic approach

Abstract

We calculate asymmetric neutrino absorption and scattering cross sections on hot and dense magnetized neutron-star matter including hyperons in fully relativistic mean-?eld theory. The absorption/scattering cross sections are suppressed/enhanced incoherently in the direction of the magnetic ?eld B = Bz?. The asymmetry is 2-4% at the matter density ?0 = ? B = 3?0 and temperature T = 40MeV for B = 2 1017G. Then we solve the Boltzmann equation for the neutrino transport in 1D attenuation approximation, and get the result that the kick velocity becomes about 300 km/s for the proto-neutron star with 168 solar mass at T = 20MeV. © Owned by the authors, published by EDP Sciences, 2012.