Bound Muon To Bound Electron And a Majoron Decay in position space

Abstract

Like an electron, the muon can be localized under the central potential of a nuclei to form a muonic atom. Its decay into an electron gives continuous as well as the discrete energy spectrum. To study muon decay, a lot of experiments have been performed to nd the possible new physics, also known as physics beyond the SM. In this dissertation, we studied bound muon dec`-ytfday to a bound electron and neutrinos and calculated the branching ratio for di erent values of Z . We have also studied neutrino-less conversion of bound muon into a bound electron by taking a scalar Majoron instead of neutrinos. We hope that the present work is useful to hunt for the CLFV in muon decays.