  We have searched for the pion decay pi^+ --> mu^+ X, where X is a neutral
particle of mass 33.905 MeV. This process was suggested by the KARMEN
Collaboration to explain an anomaly in their observed time distribution of
neutrino induced reactions. Having measured the muon momentum spectrum of
charged pions decaying in flight, we find no evidence for this process and
place an upper limit on the branching fraction eta leq 6.0 * 10^{-10} of such a
decay at a 95% confidence level.
