On the mass of the glueballonium

TL;DR

This paper investigates the potential formation of a bound state called glueballonium from scalar glueballs in QCD, analyzing the conditions under which it can exist using the dilaton potential.

Contribution

It provides a theoretical analysis of glueballonium formation in the context of the dilaton potential, identifying parameter ranges for its emergence.

Findings

Glueballonium can form under certain parameter conditions.

The study identifies specific parameter ranges for glueballonium stability.

The work enhances understanding of glueball interactions in QCD.

Abstract

According to lattice simulations and other theoretical approaches, the scalar glueball is the lightest state in the Yang-Mills sector of QCD. Since within this sector the scalar glueball is stable, the scattering between two glueballs is a well-defined process. Moreover, a glueball-glueball bound state, called glueballonium, might exist if the attraction turns out to be large enough. In this work, we concentrate on the formation of the glueballonium in the context of the dilaton potential. In particular, we investigate the parameter values for which such a glueballonium emerges.