Heavy meson interquark potential

TL;DR

This paper investigates the interquark potential for heavy mesons using a massive One Gluon Exchange model derived from Dyson-Schwinger equations, finding accurate spectral results despite some confinement aspects being absent.

Contribution

It introduces a heavy meson interquark potential based on Dyson-Schwinger equations and compares it with lattice-inspired phenomenology, demonstrating accurate quarkonium spectra.

Findings

The potential derived from Dyson-Schwinger equations yields accurate quarkonium spectra.

The model captures essential features of confinement despite missing some mechanisms.

Results suggest the effective potential approach is robust for heavy meson studies.

Abstract

The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum dependence which is free from infrared divergences. We calculate the interquark potential for heavy mesons by assuming that it is given by a massive One Gluon Exchange potential and compare with phenomenologyical fits inspired by lattice QCD. We apply these potential forms to the description of quarkonia and conclude that, even though some aspects of the confinement mechanism are absent in the Dyson Schwinger formalism, the results for the spectrum are surprisingly accurate. We discuss explanations for this outcome.