Abstract
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 ${10}^{2}--{10}^{3} \mathrm{fb},$ and that via gluon fusion in the order of ${10}^{\ensuremath{-}1}--{10}^{3}$ 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.
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