Note on predictions for cs¯ quarkonia using a three-loop static potential

We extend our treatment of the spectroscopy and decays of the charm-strange quarkonium system to include the effect of using the full three-loop QCD correction to the static short distance potential. As before, our potential model consists of the relativistic kinetic energy term, a scalar linear confining term including its relativistic corrections and the perturbative QCD spin-dependent terms. A set of unperturbed wave functions for the various states is obtained using a variational technique that is further constrained by requiring that the wave functions also satisfy the relativistic virial theorem. These are then used in a perturbative treatment of the potential to fit the mass spectrum of the cs¯ system and calculate the radiative decay widths. Our results accurately describe the Ds spectrum and are compatible with the little data that is available for the radiative decays of the Ds states.