Abstract: We present the results of a search for pair production of the supersymmetric partner of the top quark (the top squark ?t1) decaying to a b quark and a chargino ??±1 with a subsequent ??±1 decay into a neutralino ??01, lepton ?, and neutrino ?. Using a data sample corresponding to 2.7??fb?1 of integrated luminosity of p¯p collisions at ?s=1.96??TeV collected by the CDF II detector, we reconstruct the mass of top squark candidate events and fit the observed mass spectrum to a combination of standard model processes and ?t1¯?t1 signal. We find no evidence for ?t1¯?t1 production and set 95% C.L. limits on the masses of the top squark and the neutralino for several values of the chargino mass and the branching ratio B(??±1???01?±?).

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