Abstract
The radiative decay of the massive neutrino v i → v j γ in a circularly polarized electromagnetic wave is investigated within the Standard theory with lepton mixing. The decay probability in the wave field does not contain a threshold factor ∼ (1 − m i m j ) as opposed to the decay probability in a vacuum or in a constant uniform external field. The phenomenon of the gigantic enhancement (∼ 10 33) of the neutrino decay probability in external wave field is discovered. The probability of the photon splitting into the neutrino pair is obtained.
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