Scalar glueballs: Constraints from the decays into $\eta$ or $\eta'$

TL;DR

This paper investigates the mixing of scalar glueballs with isosinglet mesons and analyzes decay data to identify the meson with the largest glueball component, predicting observable decay patterns.

Contribution

It introduces a two-angle mixing scheme for $$ and $'$ and applies it to analyze scalar meson decays, providing new insights into glueball content.

Findings

$f_0(1710)$ has the largest glueball component

Predicted sizable decay of $f_0(1710)$ into $'$

Testable predictions for BESIII experiments

Abstract

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 $\eta$ and $\eta'$. In this framework, we analyse existing data and look forward to new data into $\eta$ and $\eta'$ channels. For now, the $f_0 (1710)$ has the largest glueball component and a sizable branching ratio into $\eta\eta'$, testable at BESIII.