Heavy glueballs: status and large-$N_{c}$ width's estimate

TL;DR

This paper reviews the status of heavy glueballs, predicts decay properties for specific candidates, and estimates their widths using large-Nc arguments, suggesting they could be measurable in future experiments.

Contribution

It provides new decay predictions for heavy glueballs and estimates their widths using large-Nc QCD, aiding future experimental searches.

Findings

Heavy glueballs above 2.6 GeV remain experimentally unconfirmed.

Predicted widths of heavy glueballs are around 10 MeV, making them potentially detectable.

Decay predictions for pseudotensor and vector glueballs are provided.

Abstract

Glueballs, an old and firm prediction of various QCD approaches (lattice QCD, bag models, AdS/QCD, effective models, etc.), have not yet been experimentally confirmed. While for glueballs below $2.6$ GeV some candidates exist, the situation for heavy glueballs (above $2.6$ GeV) is cloudy. Here, after a brief review of scalar, tensor, and pseudoscalar glueballs, we present predictions for the decays of a putative pseudotensor glueball with a lattice predicted mass of $3.04$ GeV and a putative vector glueball with a lattice predicted mass of $3.81$ GeV. Moreover, we discuss in general the width of heavy glueballs by using large-$N_{c}$ arguments: we obtain a rough estimate according to which the width of a glueball (such as the vector one) is about $10$ MeV. Such a width would be narrow enough to enable measurement at the future PANDA experiment.