The 21st International Conference on QCD in Extreme Conditions

The rho-pi puzzle and vector glueball mixing

3 Jul 2025, 17:40

2h 20m

Witold Swida Lecture Hall (Faculty of Law and Administration, UWr)

Poster Correlations, bound states and hadron spectroscopy Poster Session

Speaker

Arthur Vereijken (UJK Jan Kochanowski University Kielce)

Description

The $\psi(3686)$ is identified as the radial excitation of the $J/\psi$. Based on perturbative QCD, the branching ratio of the $\psi(3686)$ into some final hadron state should be approximately 13\% of the branching ratio of the $J/\psi$ to that same hadron final state. This is called the "13\% rule". However, certain decay channels such as the $\rho\pi$ severely violate this 13\% rule. Using the extended Linear Sigma Model, we study the effect a small mixing angle between the $\psi(3686)$ and the vector glueball can have on the 13\% rule. It turns out that both electromagnetic decay channels and a mixing with the vector glueball are necessary to match experimental data in this setup.