Quarkonium wave functions on the light front

TL;DR

This paper develops a light-front Hamiltonian approach to heavy quarkonium, combining holographic QCD and one-gluon exchange, producing spectra and wave functions consistent with experiments and nonrelativistic models.

Contribution

It introduces a novel effective Hamiltonian for heavy quarkonium on the light front, integrating holographic confinement and running coupling effects.

Findings

Spectra match experimental data

Wave functions show rich structure

Charge and mass radii computed successfully

Abstract

We study heavy quarkonium within the light-front Hamiltonian formalism. Our effective Hamiltonian is based on the holographic QCD confining potential and the one-gluon exchange interaction with a running coupling. The obtained spectra are compared with experimental measurements. We present a set of light-front wave functions, which exhibit rich structure and are consistent with the nonrelativistic picture. Finally, we use the wave functions to compute the charge and mass radii.