Bound states of two gluinos at the Fermilab Tevatron and CERN LHC

We calculate the production cross sections for the vector and pseudoscalar bound states of two gluinos. It is shown that existing and future colliders imply a realistic chance of observing gluinonium as a narrow peak in the two-jet invariant mass spectrum. With an integrated luminosity of 0.2 ${\mathrm{fb}}^{-1\mathrm{}}$ at the Fermilab Tevatron, and the high efficiency for tagging heavy quark jets at CDF, one should be able to detect vector gluinonium for gluino masses up to about 170 GeV, or up to about 260 GeV for an upgraded Tevatron with a center of mass energy of 2 TeV and an integrated luminosity of 1 ${\mathrm{fb}}^{-1\mathrm{}}$. The significantly higher energy and luminosity of the CERN LHC should allow pseudoscalar gluinonium to be detected for gluino masses up to about 1500 GeV for an assumed luminosity of 200 ${\mathrm{fb}}^{-1\mathrm{}}$. These results are insensitive to the details of supersymmetry models, provided that $R$ parity is conserved and the gluinos are lighter than the squarks. In addition, gluinonium detection implies a relatively accurate measure of the gluino mass, which is difficult to determine by other means.