New Perspective on Hybrid Mesons

TL;DR

This paper introduces a novel relativistic quantum field theory approach to hybrid mesons, emphasizing strong two-body correlations and coupled equations, providing new insights into hybrid structure and spectrum calculations.

Contribution

It proposes a new coupled two-body equation framework for hybrid mesons based on strong correlations, offering a fresh perspective on their structure and spectrum.

Findings

Calculated the spectrum of light-quark isovector hybrid mesons.

Demonstrated the effectiveness of the coupled-pair approach.

Highlighted the analogy between hybrid mesons and baryons with diquark correlations.

Abstract

It is thought that strong interactions within the Standard Model can generate bound-states in which non-Abelian gauge-bosons play a dual role, serving both as force and matter fields. In this context we introduce a novel approach to the hybrid-meson (valence-gluon+quark+antiquark) bound-state problem in relativistic quantum field theory. Exploiting the existence of strong two-body correlations in the gluon-quark, $q_g=[gq]$, and gluon-antiquark, $\bar q_g=[g\bar q]$ channels, we argue that a sound description of hybrid properties can be obtained by solving a coupled-pair of effectively two-body equations; and, consequently, that hybrids may be viewed as highly-correlated $q_g \bar q \leftrightarrow q \bar q_g$ bound-states. Analogies may be drawn between this picture of hybrid structure and that of baryons, in which quark+quark (diquark) correlations play a key role. The potential of this formulation is illustrated by calculating the spectrum of light-quark isovector hybrid mesons.