FAIR next generation scientists - 8th Edition Workshop

The $\mathrm{\Psi }(2S)$ is identified as the radial excitation of the $J/\mathrm{\Psi }$. Based on perturbative QCD, the branching ratio of the $\mathrm{\Psi }(2S)$ into some final hadron state should be approximately 12% of the branching ratio of the $J/\mathrm{\Psi }$ to that same hadron final state. This is called the "12% rule". However, certain decay channels such as the $\rho \pi$ severely violate this 12% rule. Using the extended Linear Sigma Model, we study the effect a small mixing angle between the $\mathrm{\Psi }(2S)$ and the vector glueball can have on the 12% rule.