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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages 3 Tables

Scientific paper

10.1103/PhysRevD.80.034012

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.

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