# Coupling Constants for Scalar Glueball Decay

## TL;DR

This paper calculates the decay widths of the lightest scalar glueball into pseudoscalar pairs using lattice QCD, providing predictions that align with the properties of the observed meson $f_J(1710)$.

## Contribution

It presents the first lattice QCD calculation of scalar glueball decay widths in the quenched approximation, supporting the identification of $f_J(1710)$ as a scalar glueball.

## Key findings

- Decay widths are consistent with experimental data for $f_J(1710)$.
- Results support $f_J(1710)$ as the scalar glueball candidate.
- The calculation agrees with previous mass estimates in the continuum limit.

## Abstract

We evaluate the partial decay widths of the lightest scalar glueball to pairs of pseudoscalar quark-antiquark states. The calculation is done in the valence (quenched) approximation on a $16^3 \time 24$ lattice at $\beta = 5.7$. These predictions and values obtained earlier for the infinite volume continuum limit of the scalar glueball's mass are in good agreement with the observed properties of $f_J(1710)$ and inconsistent with all other observed meson resonances.