$2^{++}$ glueball

TL;DR

This paper investigates the mixing of tensor mesons and glueballs, predicting the properties of the $2^{++}$ glueball, including its mass, decay widths, and production rates in J/psi decays.

Contribution

It provides a detailed analysis of the mixing between known tensor mesons and the $2^{++}$ glueball, offering predictions for its physical properties and decay behaviors.

Findings

Predicted the mass and decay widths of the $2^{++}$ glueball.

Determined the mixing parameters between $f_2(1270)$, $f_2(1525)$, and the glueball.

Estimated the branching ratio for $J/\psi ightarrow \gamma G_2$.

Abstract

The mixing between the $f_2(1270)$, the $f_2(1525)$, and the $2^{++}$ glueball is determined and tested. The mass and the hadronic decay widths of the $G_2$ and the branching ratio $B(J/\psi\rightarrow\gamma G_2)$ are predicted.