# Mixing of heavy and light quarks in charmonium and light mesons

## TL;DR

This study uses lattice QCD simulations to investigate the mixing of light mesons, charmonium, and glueballs in the scalar channel, revealing their interactions and composition at near-physical quark masses.

## Contribution

It introduces a novel variational basis with distillation, Wilson loops, and two-pion operators to detect and analyze mixing in scalar mesons and charmonium.

## Key findings

- Detection of mixing between light mesons, charmonium, and glueballs.
- Results obtained at two different pion masses.
- Insights into the composition of scalar states in QCD.

## Abstract

We study the system of light mesons, charmonium and glueballs in the flavor singlet scalar channel where they can mix. We use lattice QCD simulations with an almost physical charm quark and three degenerate light quarks for two values of the pion mass ($m_{\pi} \approx 420, 800$ MeV). Thanks to a variational basis which includes mesonic operators with profiles in distillation space, Wilson loops and two-pion operators we detect and show results of their mixing.