We present the first search for heavy, long-lived particles that decay to photons at a hadron collider. We use a sample of gamma+jet+missing transverse energy events in pp[over ] collisions at sqrt[s]=1.96 TeV taken with the CDF II detector. Candidate events are selected based on the arrival time of the photon at the detector. Using an integrated luminosity of 570 pb;{-1} of collision data, we observe 2 events, consistent with the background estimate of 1.3+/-0.7 events. While our search strategy does not rely on model-specific dynamics, we set cross section limits in a supersymmetric model with chi[over ]_{1};{0}-->gammaG[over ] and place the world-best 95% C.L. lower limit on the chi[over ]_{1};{0} mass of 101 GeV/c;{2} at tau_{chi[over ]_{1};{0}}=5 ns.
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