Leptonic decays of D-wave vector quarkonia

TL;DR

This paper uses a covariant Dyson-Schwinger-Bethe-Salpeter approach to study leptonic decays of heavy quarkonium states, predicting decay widths and identifying excitations with experimental data.

Contribution

It introduces a covariant DSBSE framework for heavy quarkonium leptonic decays, providing new predictions for decay constants and decay widths of D-wave states.

Findings

Radial excitations identified with experimental J/Ψ and Υ states.

Predicted e+e- decay widths for Υ(1^3D_1) and Υ(2^3D_1) around 15 eV.

Provided decay constant predictions for pseudoscalar excitations.

Abstract

We give a short and basic introduction to our covariant Dyson-Schwinger-Bethe-Salpeter-equation approach using a rainbow-ladder truncated model of QCD, in which we investigate the leptonic decay properties of heavy quarkonium states in the pseudoscalar and vector channels. Comparing the magnitudes of decay constants, we identify radial 1-- excitations in our calculation with experimental excitations of J/\Psi and \Upsilon. Particular attention is paid to those states regarded as D-wave states in the quark model. We predict e+e- decay width of the \Upsilon(1^3D_1) and \Upsilon(2^3D_1) states of the order of ca. 15 eV or more. We also provide a set of predictions for decay constants of pseudoscalar radial excitations in heavy quarkonia.