Relativistic theory of inverse beta-decay in strong magnetic field

The relativistic approach to calculation of the cross section of the inverse beta-decay of polarized neutron, νe+n→p+e-, in strong magnetic field is developed. For the proton wave function we use the exact solution of the Dirac equation in the magnetic field that enables us to account exactly for effect of the proton momentum quantization in the magnetic field and also for the proton recoil motion. We examine the cross section for different energies and directions of propagation of the initial neutrino accounting for neutrons polarization. It is shown that in the super strong magnetic field the polarized neutron matter is transparent for neutrinos propagating antiparallel to the direction of polarization. The effect of nucleons anomalous magnetic moments in strong magnetic field is also discussed. The developed relativistic approach can be used for calculations of cross section of the other URCA processes in strong magnetic field. (authors)