Quark-antiquark potential with retardation and radiative contributions and the heavy quarkonium mass spectra

TL;DR

This paper calculates charmonium and bottomonium mass spectra by incorporating relativistic, radiative, and retardation effects into the quark-antiquark potential, achieving a good fit to experimental data.

Contribution

It introduces a systematic method to include retardation effects in the long-range potential and combines relativistic and radiative corrections for accurate mass spectra.

Findings

Good agreement with experimental mass spectra data

Retardation effects significantly influence spin-independent potential

Relativistic and radiative corrections improve spectral predictions

Abstract

The charmonium and bottomonium mass spectra are calculated with the systematic account of all relativistic corrections of order v^2/c^2 and the one-loop radiative corrections. Special attention is paid to the contribution of the retardation effects to the spin-independent part of the quark-antiquark potential, and a general approach to accounting for retardation effects in the long-range (confining) part of the potential is presented. A good fit to available experimental data on the mass spectra is obtained.