Abstract

In this work we study the leptonic-decay processes of a π-meson in a field that is a superposition of a crossed field and the field of a plane electromagnetic wave. Expressions for the decay probability are obtained that take into account a non-zero neutrino mass. The dependence of the probabilities on the spin of the created lepton is investigated. The values of the parameters of the external field are indicated for which it is possible to isolate the decay process depending on the neutrino mass, which may be of interest for the solution of the problem of the existence of the neutrino mass.

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