The process of the electron-positron pair production, \nu -- \nu e^-e⁺, by a neutrino propagating in a strong magnetic field is investigated in the framework of the Standard Model. The process probability and the mean values of the neutrino energy and momentum loss are calculated. Possible astrophysical manifestations of the process considered are briefly analysed. The process of the lepton pair production by a neutrino propagating in an external crossed electromagnetic field is investigated in the framework of the Standard Model. Relatively simple exact expression for the probability is obtained, which is suitable for a quantitative analysis. A study is made of a complete set of neutrino-electron processes in a magnetized plasma. It is shown that processes involving neutrinos in the initial and final states \nu e^-+ -- \nu e^-+ and \nu -- \nu e^-e⁺ have kinematic amplification in the ultrarelativistic limit. Relatively simple expressions are obtained for the probability and average neutrino energy-momentum loss which are convenient for quantitative analysis. It is observed that the total contribution of \nu e processes did not depend on the chemical potential of the magnetized electron-positron plasma.

Page created by Alexander Potekhin (palex@astro.ioffe.rssi.ru) on November 19, 2001.