Muonium-Antimuonium Conversion in Models with Dilepton Gauge Bosons

Abstract

We examine the magnetic field dependence of the muonium($μ^+ e^-$) - antimuonium($μ^- e^+$) conversion in the models which accommodate the dilepton gauge bosons. The effective Hamiltonian for the conversion due to dileptons turns out to be in the $(V-A)\times(V+A)$ form and, in consequence, the conversion probability is rather insensitive to the strength of the magnetic field. The reduction is less than $20\%$ for up to $B \approx 300$ G and $33\%$ even in the large $B$ limit.