R-parity violation in $(t+\overline{t})\widetilde{g}$ production at LHC and Tevatron

We study the production of $(t+\bar{t}) \tilde{g}$ at the hadron colliders in an R-parity ($R_{p}$) violating supersymmetric model. This process provides us with information not only about $R_{p}$ violation, but may also help us in detecting the supersymmetry itself. It is possible to detect an $R_{p}$ violating signal (with single gluino production) at the future hadron colliders, such as Fermilab Tevatron Run II or CERN Large Hadron Collider (LHC), if the parameters in the supersymmetric $\rlap/ R_{p}$ interactions are not too small, e.g. for $m_{\tilde{g}}=1$ TeV, $\lambda^{''}=0.1$, still hundreds of events are produced at LHC with luminosity $30 fb^{-1}$. Even if we could not detect a signal of $ \rlap/R_{p}$ in the experiment, we get stringent constraints on the heavy flavour $\rlap/R_{p}$ couplings. In addition to the minimal supersymmetric standard model we have also considered some models with a heavy gluino as the lightest supersymmetric particle.