Bottomonium in a Bethe-Salpeter-equation study

TL;DR

This study employs a Bethe-Salpeter equation approach with an effective interaction to accurately model bottomonium states, achieving good agreement with experimental data and exploring implications for other quark systems.

Contribution

It introduces a covariant Bethe-Salpeter framework with a fixed model parameter that successfully describes bottomonium spectra and extends the analysis to charmonium and light-quark states.

Findings

Accurate modeling of bottomonium spectrum including Upsilon(1D) state.

Good agreement with experimental data.

Insights into charmonium and light-quark ground states.

Abstract

Using a well-established effective interaction in a rainbow-ladder truncation model of QCD, we fix the remaining model parameter to the bottomonium ground-state spectrum in a covariant Bethe-Salpeter equation approach and find surprisingly good agreement with the available experimental data including the 2^{--} Upsilon(1D) state. Furthermore, we investigate the consequences of such a fit for charmonium and light-quark ground states.