The scalar and tensor glueballs in the valence approximation

TL;DR

This paper calculates the masses of scalar and tensor glueballs in the valence approximation, providing results that support the identification of the scalar glueball with the $f_0(1710)$ meson.

Contribution

It presents the first continuum limit calculations of glueball masses in the valence approximation, with results consistent with experimental observations.

Findings

Scalar glueball mass: 1740 ± 71 MeV

Tensor glueball mass: 2359 ± 128 MeV

Supports $f_0(1710)$ as the lightest scalar glueball

Abstract

We evaluate the infinite volume, continuum limit of $0^{++}$ and $2^{++}$ glueball masses in the valence approximation. We find $m_{0^{++}} = 1740 \pm 71 $~MeV and $m_{2^{++}} = 2359 \pm 128 $~MeV, consistent with the interpretation of $f_0 ( 1710 )$ as the lightest scalar glueball.