Glueball-glueball scattering and the glueballonium

The scalar glueball G is the lightest particle of the Yang-Mills sector of QCD, with a lattice predicted mass of about m(G) similar or equal to 1.7GeV. It is natural to investigate glueball-glueball scattering and the possible emergence of a bound state, that we call glueballonium. We perform this study in the context of a widely used dilaton potential, that depends on a single dimensionful parameter Lambda(G). We consider a unitarization prescription that allows us to predict the lowest partial waves in the elastic window. These quantities can be in principle calculated on the lattice, thus offering possibility for testing the validity of the dilaton potential and an independent determination of its parameter. Moreover, we also show that a stable glueballonium exists if Lambda(G) is small enough. In particular, for Lambda(G) compatible with the expectations from the gluon condensate, the glueballonium has a mass of about 3.4 GeV.

Automated summary

In this study, we investigate the properties of the scalar glueball G and glueball-glueball scattering in the Yang-Mills sector of QCD. We discover a possible bound state called glueballonium and use a dilaton potential to predict its mass and determine the validity of the potential independently.