Potential model calculations and predictions for \(\bm c\bar{\bm s}\) quarkonia

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 masses and wave functions of the various states are obtained using a variational technique, which are then used in a perturbative treatment of the potential to find the mass spectrum of the \(c\bar{s}\) system and 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 an investigation of the Lorentz nature of the confining potential.