Search for Heavy, Long-Lived Particles that Decay to Photons at CDF*

Models of supersymmetry predict new heavy, long-lived particles, known as a neutralino, that can decay to a photon and a gravitino. We present a search for these particles in proton anti-proton collisions at $\surd $s = 1.96 TeV using a new timing device on the Collider Detector at Fermilab. After a year of data taking we find no evidence for this process, and set limits on models of Gauge Mediated Supersymmetry Breaking.