Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach

TL;DR

This paper uses a covariant Bethe-Salpeter-equation approach with a rainbow-ladder truncated QCD model to study heavy quarkonia spectra, achieving good results for many states and discussing exotic and light-quark states.

Contribution

It extends previous Bethe-Salpeter studies to include excited states and provides a critical outlook on exotic and light-quark mesons within this framework.

Findings

Accurately reproduces ground and excited bottomonium and charmonium spectra

Surprisingly good agreement with experimental data for most states

Provides insights into exotic quantum number states and light-quark mesons

Abstract

In a covariant Bethe-Salpeter-equation approach and with a rainbow-ladder truncated model of QCD, we investigate the use of an effective interaction with the goal of reproducing QCD phenomenology. We extend previous studies and present results for ground and excited meson states in the bottomonium and charmonium systems, where the results are surprisingly good for most states. In addition, we formulate a critical outlook on states with exotic quantum numbers as well as the light-quark domain.