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

TL;DR

This paper models the charm-strange quarkonium system using a potential approach, calculating its spectrum and decay properties, and compares results with experimental data to understand its structure.

Contribution

It introduces a comprehensive potential model including relativistic and QCD corrections to predict the $c\bar{s}$ spectrum and decay widths.

Findings

Results agree well with experimental $D_s$ spectrum data.

The model elucidates the Lorentz nature of the confining potential.

Analysis of mixing effects on the spectrum.

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 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.