Do muons oscillate ?

Abstract

We develop a theory of the EPR-like effects due to neutrino oscillations in the $\pi \to \mu\nu$ decays. Its experimental implications are space-time correlations of neutrino and muon when they are both detected, while the pion decay point is not fixed. However, the more radical possibility of muon oscillations in experiments where only muons are detected (as it has been suggested in hep-ph/9509261), is ruled out. We start by discussing decays of monochromatic pions, and point out a few ``paradoxes''. Then we consider pion wave packets, solve the ``paradoxes'', and show that the formulas for $\mu nu$ correlations can be transformed into the usual expressions, describing neutrino oscillations, as soon as the pion decay point is fixed.