Scalar glueballs: Constraints from the decays into $η$ or $η'$

We study the mixing of the scalar glueball into the isosinglet mesons $f_0 (1370)$, $f_0(1500)$, and $f_0(1710)$ to describe the two-body decays to pseudoscalars. We use an effective Hamiltonian and employ the two-angle mixing scheme for $η$ and $η'$. In this framework, we analyse existing data and look forward to new data into $η$ and $η'$ channels. For now, the $f_0 (1710)$ has the largest glueball component and a sizable branching ratio into $ηη'$, testable at BESIII.

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