Hybrid hadrons at rest and on the light front

TL;DR

This paper develops a unified model for heavy hybrid hadrons using a constituent-gluon approach within the Born-Oppenheimer framework, deriving light-front wave functions and gluon PDFs.

Contribution

It introduces a novel variational method for deriving light-front wave functions of hybrid systems, incorporating gluonic excitations as dynamical quasiparticles.

Findings

Derived light-front wave functions for $ccg$ and $qqqg$ hybrids.

Computed gluon parton distribution functions for these hybrid systems.

Presented a unified constituent-gluon model within the Born-Oppenheimer framework.

Abstract

We present a unified description of heavy hybrid hadrons based on a constituent-gluon picture embedded in the Born-Oppenheimer (BO) framework. In this approach, the gluonic excitation is treated as a dynamical quasiparticle with a mass generated by instanton-induced interactions. We propose a simple variational derivation of the BO potentials. The main focus of the paper is the derivation of light-front wave functions for hybrid systems, specifically for the $ccg$ and $qqqg$ cases. We employ both variational methods and numerical solutions of the Schr\"odinger equation in momentum representation. Using the resulting wave functions, we compute the gluon PDFs for these systems.