Two-gluino bound states

We estimate the branching ratio and argue that two-gluino bound states can be detected in $\Upsilon \to \gamma +{}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}\left(\tilde{g} \tilde{g}\right)$ if $m_{\tilde{g}}<4.5\mathrm{}$ GeV. The signal would be comparable to the backgrounds in magnitude. In the case of top-quarkonium decay, the signal could be much enhanced due to the exchange of a possibly light scalar top quark. We also show that two-gluino bound states can exist only in ${}_{}{}^1{}_{}{}^{}S_0^{}{}_{}{}^{}, {}_{}{}^3{}_{}{}^{}P_{0,1,2}^{}{}_{}{}^{}, {}_{}{}^1{}_{}{}^{}D_2^{}{}_{}{}^{}, {}_{}{}^3{}_{}{}^{}F_{2,3,4}^{}{}_{}{}^{},\dots$, but not in ${}_{}{}^3{}_{}{}^{}S_1^{}{}_{}{}^{}, {}_{}{}^1{}_{}{}^{}P_1^{}{}_{}{}^{}, {}_{}{}^3{}_{}{}^{}D_{1,2,3}^{}{}_{}{}^{}, {}_{}{}^1{}_{}{}^{}F_3^{}{}_{}{}^{},\dots$ states. The decay width of the $\tilde{g} \tilde{g}$ ground state is calculated. Finally, we discuss the $\tilde{g} \tilde{g}$ potential.