Abstract
We calculate asymmetric neutrino absorption and scattering cross sections on hot and dense magnetized neutron star matter, including hyperons in fully relativistic mean-field theory. The absorption/scattering cross sections are suppressed/enhanced incoherently in the direction of the magnetic field $\mathbf{B}=B\stackrel{^}{z}$. The asymmetry is 2--4% at the matter density ${\ensuremath{\rho}}_{0}\ensuremath{\le}{\ensuremath{\rho}}_{B}\ensuremath{\le}3{\ensuremath{\rho}}_{0}$ and temperature $T\ensuremath{\le}40\text{ }\text{ }\mathrm{MeV}$ for $B=2\ifmmode\times\else\texttimes\fi{}{10}^{17}\text{ }\text{ }\mathrm{G}$. This asymmetry is comparable to the effects owing to parity violation or asymmetric magnetic field topology proposed for the origin of pulsar kicks.
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