Study of the coherent propagation of charged leptons coming from pion and W decay in Bohmian mechanics

Abstract

Although charged leptons, contrary to neutrinos, cannot oscillate, exploring whether a coherent superposition of charged lepton states can change to others during the propagation is an important problem in the neutrino oscillation theory. In this paper, we consider electrons and muons coming from the pions and W decays and study their propagation in relativistic Bohmian quantum mechanics. We find out that the Bohmian trajectories of them are separated after atomic distance propagations. In fact, the computed Bohmian trajectories of electrons and muons coming from W and pion decays show that Bohmin results are consistent with those of standard quantum mechanics.

Keywords

• charged leptons
• Bohmian quantum mechanics
• coherent superposition
• oscillation