A Study of Decay Rate of Bound Negative Muons

TL;DR

This paper proposes an extended quantum mechanics scheme to explain why bound negative muons have longer decay lifetimes than free muons, successfully matching experimental data.

Contribution

It introduces an extended quantum mechanics framework and derives a Schrödinger equation to accurately predict muon decay ratios in bound states.

Findings

Decay ratio of bound muons matches experimental data

Extended quantum mechanics explains longer muon lifetimes

Schrödinger's equation validated for bound muon decay

Abstract

A number of experiments show that the decay lifetimes of muons bound to atomic nuclei are longer than the decay lifetimes of free muons. In this paper, a scheme of extending quantum mechanics (EQM) is proposed to resolve this problem. The Schr$\ddot{\text{o}}$dinger's equation is obtained to prove the validation of this attempt. The decay ratio of bound muons is also calculated in EQM, and the result is in good agreement with the experimental data.