Lepton-Number and Chirality Nonconservation in Weak Processes

We propose a description of leptonic and semileptonic weak processes which involves the use of only three distinct lepton field operators ${\psi }_{e^{-}}\mathrm{}\left(x\right)\mathrm{}$, ${\psi }_{{\mu }^{-}}\mathrm{}\left(x\right)\mathrm{}$, and ${\psi }_{\nu }\mathrm{}\left(x\right)\mathrm{}$ and postulates such an expression for the leptonic weak current $l_{\alpha }^{\prime }\left({\psi }_{e^{-}}\mathrm{}\right(x),{\psi }_{{\mu }^{-}}\mathrm{}(x),{\psi }_{\nu }\mathrm{}(x\left)\right)$ that (1) neither the conservation of total lepton number nor the "conservation of neutrino chirality" holds exactly, and (2) the extent of lepton-number nonconservation and neutrino-chirality nonconservation becomes maximal at high interlepton momentum transfers. As a result, various weak processes forbidden in the conventional description and so far unobserved at relatively small momentum transfers are expected to proceed with non-negligible rates at higher momentum transfers. A discussion is given of certain of these processes and particular attention is focused on the production processes ${\nu }_{\mu }+p\to e^{+}+n$, ${\nu }_{\mu }+p\to e^{-}+{\Delta }^{++}$, ${\nu }_{\mu }+p\to {\mu }^{+}+n$, and ${\nu }_{\mu }+(Z,A)\mathrm{}\to e^{-}+{\mu }^{+}+{\nu }_{\mu }+(Z,A)\mathrm{}$, and on the decay processes $K^{+}\to {\mu }^{+}+e^{+}+{\pi }^{-}$ and ${\mu }^{+}\to e^{+}+\gamma$.