Abstract
We present the results of a search for supersymmetry with gauge-mediated
breaking and $\NONE\to\gamma\Gravitino$ in the $\gamma\gamma$+missing
transverse energy final state. In 2.6$\pm$0.2 of $pp$ collisions
at $s$$=$1.96 TeV recorded by the CDF II detector we observe no
candidate events, consistent with a standard model background expectation of
1.4$\pm$0.4 events. We set limits on the cross section at the 95% C.L. and
place the world's best limit of 149on the mass at
$\tau_\chi_1^0$$<<$1 ns. We also exclude regions in the \none\
mass-lifetime plane for $\tau_\chi_1^0$$łesssim$2 ns.
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