  We study muonium-antimuonium conversion and mu+ e- to mu- e+ scattering
within two different lepton-flavor-violating models with heavy neutrinos: model
I is a typical seesaw that violates lepton number as well as flavor; model II
has a neutrino mass texture where lepton number is conserved. We look for the
largest possible amplitudes of these processes that are consistent with current
bounds. We find that model I has very limited chance of providing an observable
signal, except if a finely tuned condition in parameter space occurs. Model II,
on the other hand, requires no fine tuning and could cause larger effects.
However, the maximum amplitude provided by this model is still two orders of
magnitude below the sensitivity of current experiments: one predicts an
effective coupling G_MM up to 10^{-4}G_F for heavy neutrino masses near 10 TeV.
We have also clarified some discrepancies in previous literature on this
subject.
