Explaining Anomalous CDF mu gamma Missing-E_T Events With Supersymmetry

CDF recently reported an excess of events in the mu-gamma-missing E_T channel that disagrees with the Standard Model prediction. No such excess was observed in the e-gamma-mett channel. We explain the excess via resonant smuon production with a single dominant R-parity violating coupling lambda'_{211}, in the context of models where the gravitino is the lightest supersymmetric particle. The slepton decays to the lightest neutralino and a muon followed by neutralino decaying to a gravitino and photon. We determine a viable region of parameter space that fits the kinematical distributions of the Run I excess and illustrate the effect by examining the best fit point in detail. We provide predictions for an excess in the missing E_T and photon channel at Run I and Run II. Run II will decisively rule out or confirm our scenario.