Masses and Boost-Invariant Wave Functions of Heavy Quarkonia from the Light-Front Hamiltonian of QCD

TL;DR

This paper introduces a novel light-front Hamiltonian approach to compute masses and boost-invariant wave functions of heavy quarkonia, showing promising results despite simplified assumptions.

Contribution

It develops a new scheme within light-front QCD to calculate heavy quarkonia properties, incorporating an ansatz for the gluon mass gap.

Findings

Spectra are reasonably accurate despite crude approximations

Method provides boost-invariant wave functions for heavy quarkonia

Simplified model with one quark flavor and gluon mass gap ansatz

Abstract

A new scheme for calculating masses and boost-invariant wave functions of heavy quarkonia is developed in a light-front Hamiltonian formulation of QCD. Only the simplest approximate version with one flavor of quarks and an ansatz for the mass gap for gluons is discussed. The resulting spectra look reasonably good in view of the crude approximations made in the simplest version.