Longitudinal dynamics for mesons on the light cone

TL;DR

This paper reviews various light-front models for meson confinement, comparing their spectroscopic predictions and highlighting the role of Sturm-Liouville theory as a unifying framework.

Contribution

It provides a comparative analysis of different longitudinal confinement models in light-front meson spectroscopy using Sturm-Liouville theory.

Findings

Different confinement models produce distinct meson spectra.

Sturm-Liouville theory unifies various model approaches.

Spectroscopic differences help identify effective confinement mechanisms.

Abstract

We survey a set of proposed light-front models for confinement in the valence quark sector of the mesons and portray similarities as well as differences. We present the spectroscopies for the light mesons that result from a selection of longitudinal confinement forms. We note that the Sturm-Liouville theory provides a unifying framework for many elements of this comparison.