Scalar Glueball in Radiative $J/\psi$ Decay on Lattice

TL;DR

This study uses quenched lattice QCD to analyze the form factors of $J/ar{ ext{}}$ decay into a scalar glueball, predicting decay widths and suggesting $f_0(1710)$ has a strong glueball component.

Contribution

It provides the first lattice QCD calculation of the form factors and decay width for $J/ar{ ext{}}$ radiative decay into a scalar glueball, with continuum extrapolation.

Findings

Predicted decay width of 0.35(8) keV for $J/ar{ ext{}}$ to scalar glueball.

Branching ratio estimated at 3.8(9) x 10^{-3}.

Results suggest $f_0(1710)$ has a larger glueball component.

Abstract

The form factors in the radiative decay of $J/\psi$ to a scalar glueball are studied within quenched lattice QCD on anisotropic lattices. The continuum extrapolation is carried out by using two different lattice spacings. With the results of these form factors, the partial width of $J/\psi$ radiatively decaying into the pure gauge scalar glueball is predicted to be 0.35(8) keV, which corresponds to a branching ratio of 3.8(9)x10^{-3}. By comparing with the experiments, out results indicate that f_0(1710) has a larger overlap with the pure gauge glueball than other related scalar mesons.