Field and Polarization Effects Arising in Neutrino-Lepton Processes in a Magnetic Field

Authors: V. A. GUSSEINOV

Abstract: We discuss the effects arising in the neutrino-lepton processes (\nu_{\mu}+e^{-} \rightarrow \nu_{e}+\mu^{-} and \overline{\nu}_{e}+e^{-}\rightarrow\overline{\nu}_{\mu}+\mu^{-}) in a constant uniform magnetic field in the framework of the Weinberg-Salam-Glashow model. It is shown that in the case of a superstrong magnetic field and for the muon producing on the ground Landau level the leading term of the cross section asymptotics of the \nu_{\mu}-process does not depend on the field intensity and it effectively describes the one-dimensional free process. In the \nu_{\mu}-process the muons with the spins oriented opposite to the direction of the field are mostly produced. The electrons with the spins oriented along the magnetic field mostly take part in the \overline{\nu}_{e}-process. Only left-handed electrons take part in the \nu_{\mu}-process. \overline{\nu}_{e}-process is forbidden for right-handed muons. In the strong field case only left-handed electrons and muons take part in the processes. It corresponds to the massless case. All the considered effects are significant in that case when we have dealings with strong fields and low-energy neutrions. These effects can be used for detecting of low-energy neutrinos in the experiment.

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