Heavy quarkonia spectra using wave function with gluonic components

TL;DR

This paper models heavy quarkonium spectra by combining perturbative and localized wave function approaches for gluons, including quark-antiquark-gluon sectors, achieving reasonable results with minimal parameters.

Contribution

It introduces a novel approximation scheme that incorporates both hard and soft gluons and includes quark-antiquark-gluon sectors in heavy quarkonium spectra calculations.

Findings

Spectra agree reasonably with experimental data using only two parameters.

The quark-antiquark-gluon admixture is surprisingly small despite large coupling.

Spectra are more Coulombic than observed in experiments.

Abstract

We calculate the spectra of charmonium and bottomium in an approximation scheme which treats hard gluons perturbatively while soft gluons are expanded in a set of localized wave functions. Quark-antiquark and quark-antiquark-gluon sectors are included. Reasonable agreement with 2 parameters only is found but the spectra are too coulombic. Despite large coupling constant the admixture of the quark-antiquark-gluon sector is found to be remarkably small.