Quarkonium and Power Law Potentials

Abstract

The spectra and decay rates of $c\bar{c}$ and $b\bar{b}$ levels are well described, for the most part, by a power-law potential of the form $V(r)=\lambda (r^{\alpha }-1)/\alpha +const.$, where $\alpha \simeq 0$. The results of an up-to-date fit to the data on spin-averaged levels are presented. Results on electric dipole transitions in systems bound by power law potentials are also presented, with applications to the bottomonium system.

Presented by Aaron K. Grant at DPF 92 Meeting, Fermilab, November, 1992. LaTeX, 4 pages