Abstract

The cross section for the process \(\nu _\mu + \bar \nu _e \to \mu ^ - + e^ + \) in a constant magnetic field is calculated with allowance for muon and positron polarizations. The asymptotic behavior of the cross section as a function of the kinematical and the field parameter is investigated in the case where a high-energy neutrino (antineutrino) is scattered by a low-energy antineutrino (neutrino). The effect of a weak field is especially important near the threshold for the free process. The spectrum and the total cross section for the process in a strong field differ markedly from the corresponding characteristics of the free process. Possible astrophysical applications are considered.

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