In a recent Letter we reported on some work which led us to suggest the possibility of narrow spikes in the annihilation cross section into hadrons. In this paper, we discuss the theoretical infrastructure of this work more thoroughly, and improve and extend the calculations and experimental predictions. We examine a colored quark-gluon model of hadronic matter, with color an exact SU(3) gauge symmetry. In addition to the light quarks that make up ordinary hadrons, a heavy quark, such as the charmed , is included. The narrow resonances recently discovered by the MIT-BNL and SLAC-LBL groups are interpreted as bound states (orthocharmonium). In this energy range, the effective coupling has become small according to asymptotic freedom, and many aspects of the bound-state structure can be calculated. The existence of (paracharmonium) states is predicted, and decay widths and mass splittings are estimated. The total cross section into hadrons is predicted to scale asymptotically, with an approach to scaling from above that can be calculated over a large energy range.
- Received 14 April 1975
- Published in the issue dated 1 September 1975
© 1975 The American Physical Society