Right sneutrinos and signals of a stable stop at the CERN Large Hadron Collider

We investigate charged tracks signals of a supersymmetric scenario, where the lighter stop is the next-to-lightest supersymmetric particle. It is found that such a next-to-lightest supersymmetric particle is stable on the scale of the detector at the CERN LHC if one has a right-chiral sneutrino as the lightest supersymmetric particle. After identifying some benchmark points in the parameter space of a supergravity scenario with nonuniversal scalar masses, we study a few specific classes of signals, namely, stop pair production and gluino pair production followed by each decaying into a stop and a top. It is shown that proper kinematic cuts remove the backgrounds in each case, and an integrated luminosity of even $1\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ is likely to yield copious events of the first kind, while a larger luminosity may be required for the other type. One can also aspire to reconstruct the gluino mass, using the ``visible'' stable next-to-lightest supersymmetric particle tracks.