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We present the results of a search for pair production of the supersymmetricpartner of the top quark (the stop quark $\tilde{t}_{1}$) decaying to a$b$-quark and a chargino $\chargino$ with a subsequent $\chargino$ decay into aneutralino $\neutralino$, lepton $\ell$, and neutrino $\nu$. Using a datasample corresponding to 2.7 fb$^{-1}$ of integrated luminosity of $p\bar{p}$collisions at $\sqrt{s} = 1.96$ TeV collected by the CDF II detector, wereconstruct the mass of candidate stop events and fit the observed massspectrum to a combination of standard model processes and stop quark signal. Wefind no evidence for $\pairstop$ production and set 95% C.L. limits on themasses of the stop quark and the neutralino for several values of the charginomass and the branching ratio ${\cal B}(\chargino\to\neutralino\ell^{\pm}\nu)$.

Search for Pair Production of Supersymmetric Top Quarks in Dilepton Events from $p\bar{p}$ Collisions at $\sqrt{s}$ = 1.96 TeV