# Meson-Hybrid Mixing in Vector ($1^{--}$) and Axial Vector ($1^{++}$) Charmonium

## TL;DR

This paper investigates the mixing between conventional and hybrid mesons in vector and axial vector charmonium states using QCD sum-rules, providing insights into their hybrid content and interactions.

## Contribution

It introduces a detailed QCD sum-rule analysis of meson-hybrid mixing in charmonium, including higher-dimension condensates and renormalization effects, which is novel in this context.

## Key findings

- Evidence of meson-hybrid mixing in known charmonium states.
- Quantitative estimates of hybrid meson contributions.
- Enhanced understanding of charmonium structure and hybrid content.

## Abstract

We study mixing between conventional and hybrid mesons in vector and axial vector charmonium using QCD Laplace sum-rules. We compute meson-hybrid cross correlators within the operator product expansion, taking into account condensate contributions up to and including those of dimension-six as well as composite operator renormalization-induced diagrams. Using measured masses of charmonium-like states as input, we probe known resonances for nonzero coupling to both conventional and hybrid meson currents, a signal for meson-hybrid mixing.