Potential model calculations and predictions forcs¯quarkonia

Abstract

We investigate the spectroscopy and decays of the charm-strange quarkonium system in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections, and the complete perturbative one-loop quantum chromodynamic short distance potential. The unperturbed wave functions of the various states are obtained using a variational technique. These are then used in a perturbative treatment of the potential to fit the mass spectrum of the $c\overline{s}$ system and calculate the radiative decay widths. Our results compare well with the available data for the spectrum of ${D}_{s}$ states. We include a discussion of the effect of mixing and investigation of the Lorentz nature of the confining potential.