The MiniBooNE experiment at Fermilab reports results from a search for $\bar \nu_\mu \rightarrow \bar \nu_e$ oscillations, using a data sample corresponding to protons on target. An excess of events is observed in the energy range MeV, which, when constrained by the observed events, has a probability for consistency with the background-only hypothesis of 0.5%. On the other hand, fitting for oscillations, the best-fit point has a -probability of 8.7%. The data are consistent with $\bar \nu_\mu \rightarrow \bar \nu_e^2$ $\Delta m^2$ range and with the evidence for antineutrino oscillations from the Liquid Scintillator Neutrino Detector at Los Alamos National Laboratory.

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