We present the results of an optimized search for a gauge mediated supersymmetry breaking model with &chi &rarr &gamma G with &tau(&chi )=0 ns in the &gamma&gamma+Met final state. We observed 1 event using 2.03 fb-1 of data collected by CDF II detector, which is consistent with the background estimate of 0.62± 0.29 events. We set cross section limits and mass limits as well as interpret our results for lifetimes up to 2 ns and find the exclusion region in the &chi lifetime vs. mass plane with a mass reach of 138 GeV/c2 at &tau(&chi )=0 ns. |