Light mesons with one dynamical gluon on the light front

TL;DR

This paper develops a light-front QCD Hamiltonian approach to compute light meson spectra, wavefunctions, and parton distributions, successfully matching experimental data and providing insights into gluon densities within pions.

Contribution

It introduces a novel light-front Hamiltonian framework incorporating a dynamical gluon component and confinement, enabling detailed meson spectroscopy and parton distribution calculations.

Findings

Accurately reproduces pion electromagnetic form factor and decay constant.

Provides pion parton distribution functions that match experimental J/ψ production data.

Demonstrates the feasibility of probing gluon densities via pion-nucleus interactions.

Abstract

We obtain the light meson mass spectroscopy from the light-front quantum chromodynamics (QCD) Hamiltonian, determined for their constituent quark-antiquark and quark-antiquark-gluon Fock components, together with a three-dimensional confinement. The eigenvectors of the light-front effective Hamiltonian provide a good quality description of the pion electromagnetic form factor, decay constant, and the valence quark distribution functions following QCD scale evolution. We also show that the pion's gluon densities can be probed through the pion-nucleus induced $J/\psi$ production data. Our pion parton distribution functions provide excellent agreement with $J/\psi$ production data from widely different experimental conditions.