A "Cabbibo" theory for leptons and the neutrino masses

We suggest a complete analogy between the lepton current and the Cabibbo theory for hadronic weak interactions. Both neutrinos couple to both the muon and the electron, so at least one of the neutrinos is required to be massive. The two neutrinos have the same type of interactions and are distinguishable only by their masses, like the muon and the electrons. In this theory muon number (or electron number) may be violated. All possible types of such processes are considered. In particular $\mu \to e\gamma$ and the decay of the more massive neutrino, ${\nu }_{\mu }\to {\nu }_e\gamma$ are calculated in detail. We find a lifetime for ${\nu }_{\mu }$ larger than 1.5×${10}^{-3\mathrm{}}$ sec.