Single gluino production in the R-parity lepton number violating the minimal supersymmetric standard model at the CERN LHC

We examine the R_p-violating signal of single gluino production associated with a charged lepton or neutrino at the large hadron collider (LHC), in the model of the R-parity relaxed supersymmetric model. If the parameters in the R_p supersymmetric interactions are not too small, and the mass of the gluino is considered in the range from several GeV (as the lightest supersymmetric particle) to 800 GeV, the cross section of the single gluino production via Drell-Yan processes can be in the order of 10²–10³ fb, and that via gluon fusion in the order of 10^-1–10³ fb. If the gluino decay can be well detected at the CERN LHC, this process provides a prospective way to probe supersymmetry and R_p violation.