We develop a theory of the EPR-like effects due to neutrino oscillatio
ns in the pi --> mu nu decays. Its experimental implications are space
-time correlations of the neutrino and muon when they are both detecte
d, while the pion decay point is not fixed. However, the more radical
possibility of mu-oscillations in experiments where only muons are det
ected (as suggested in hep-ph/9509261),is ruled out. We start by discu
ssing 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 pi
on decay point is fixed. (C) 1997 Elsevier Science B.V.