Search for Pair Production of Scalar Top Quarks in $R$-Parity Violating Decay Modes in $p\overline{p}$ Collisions at $\sqrt{s}=1.8\mathrm{T}\mathrm{e}\mathrm{V}$

We present the results of a search for pair production of scalar top quarks (${\tilde{t}}_1$) in an $R$-parity violating supersymmetry scenario in $106{\mathrm{p}\mathrm{b}}^{-1}$ of $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{T}\mathrm{e}\mathrm{V}$ collected by the Collider Detector at Fermilab. In this mode each ${\tilde{t}}_1$ decays into a $\tau$ lepton and a $b$ quark. We search for events with two $\tau$’s, one decaying leptonically ($e$ or $\mu$) and one decaying hadronically, and two jets. No candidate events pass our final selection criteria. We set a 95% confidence level lower limit on the ${\tilde{t}}_1$ mass at $122\mathrm{G}\mathrm{e}\mathrm{V}/c^2$ for $\mathrm{B}\mathrm{r}({\tilde{t}}_1\to \tau b)=1$.