https://doi.org/10.1140/epjc/s10052-022-10403-z
Regular Article - Theoretical Physics
Glueball–glueball scattering and the glueballonium
1
Institute of Physics, Jan Kochanowski University, ul. Uniwersytecka 7, 25-406, Kielce, Poland
2
Institute for Theoretical Physics, J. W. Goethe University, Max-von-Laue-Str. 1, 60438, Frankfurt, Germany
3
Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, 98166, Messina, Italy
4
INFN Sezione di Catania, Via Santa Sofia 64, 95123, Catania, Italy
Received:
18
October
2021
Accepted:
5
May
2022
Published online:
26
May
2022
The scalar glueball G is the lightest particle of the Yang–Mills sector of QCD, with a lattice predicted mass of about 
. 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 
. 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 
is small enough. In particular, for compatible with the expectations from the gluon condensate, the glueballonium has a mass of about 
.
© The Author(s) 2022
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