Majorana Neutrinos in Muon Decay

Abstract

The normal muon decay $\mu^{+} \to e^{+}\nu_{e}\bar{\nu_{\mu}}$ is studied as a tool to discriminate between the Dirac and Majorana type neutrinos. For the purpose to do this, we propose a new parameterization in place of the Michel parameters for the energy spectrum of $e^{+}$. The $\chi^2$-fitting is used by noticing different energy spectra between the Dirac and Majorana neutrino cases. We assume the interaction Hamiltonian which consists of the $V-A$ and $V+A$ charged currents.