Potential model calculations and predictions for heavy quarkonium

Abstract

(Dated: February 2, 2008)We investigate the spectroscopy and decays of the charmonium and upsilon systems in a potentialmodel consisting of a relativistic kinetic energy term, a linear confining term including its scalarand vector relativistic corrections and the complete perturbative one-loop quantum chromodynamicshort distance potential. The masses and wave functions of the various states are obtained usinga variational technique, which allows us to compare the results for both perturbative and nonper-turbative treatments of the potential. As well as comparing the mass spectra, radiative widths andleptonic widths with the available data, we include a discussion of the errors on the parameterscontained in the potential, the effect of mixing on the leptonic widths, the Lorentz nature of theconfining potential and the possible c¯cinterpretation of recently discovered charmonium-like states.1. INTRODUCTION