Single-Top-Squark Production viaR-Parity-Violating Supersymmetric Couplings in Hadron Collisions

Single-top-squark production via ${\mathrm{qq}}^{\prime }\to {\overline{\tilde{t}}}_1$ probes $R$-parity-violating extensions of the minimal supersymmetric standard model through the ${\lambda }_{3ij}^{\prime \prime }$ couplings. For masses in the range 180–325 GeV, and ${\lambda }_{3ij}^{\prime \prime }>0.02\mathrm{}–0.06$, we show that discovery of the top squark is possible with $2{\mathrm{fb}}^{-1\mathrm{}}$ of integrated luminosity at run II of the Fermilab Tevatron. The bound on ${\lambda }_{3ij}^{\prime \prime }$ can be reduced by up to 1 order of magnitude with existing data from run I, and by 2 orders of magnitude at run II if the top squark is not found.