The Mass Spectrum of a Static Adjoint Particle

The bound states of fermions in the adjoint representation are of interest in supersymmetric models. We investigate the energy spectrum of the simplest – the gluino-gluon bound states – on several lattices in the quenched approximation. We use a static approximation for the gluino propagator. We find continuum limits of the splitting between the few lowest states, with the energy difference between the two lowest states of $354\pm 9$ MeV.