# Vector and Scalar Mesons' Mixing from QCD Sum Rules

## TL;DR

This paper uses QCD sum rules to analyze the mixing of vector and scalar mesons with hybrid and glueball states, finding limited evidence for strong quark-gluon mixing in these mesons.

## Contribution

It introduces a Monte-Carlo based QCD Laplace sum rule approach to estimate meson mixing and provides new insights into the degree of quark-gluon mixing in light mesons.

## Key findings

- No strong quark/gluonic mixing for $1^{--}$ states.
- No strong quark/gluonic mixing for $0^{++}$ states.
- Estimated masses and decay constants of mixed states.

## Abstract

We study $\bar qq$-hybrid mixing for the light vector mesons and $\bar qq$-glueball mixing for the light scalar mesons in Monte-Carlo based QCD Laplace sum rules. By calculating the two-point correlation function of a vector $\bar q\gamma_\mu q$ (scalar $\bar q q$) current and a hybrid (glueball) current we are able to estimate the mass and the decay constants of the corresponding mixed "physical state" that couples to both currents. Our results do not support strong quark/gluonic mixing for either the $1^{--}$ or the $0^{++}$ states.