Glueball-glueball scattering and the glueballonium

Abstract

The scalar glueball $G$ is the lightest particle of the Yang-Mills sector of QCD, with a lattice predicted mass of about $m_G\simeq 1.7$ GeV. 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.

15 pages, 7 figures

References in corpus (19)

• Light scalar at LHC: the Higgs or the dilaton?
• The Physics of Glueballs
• The Status of Glueballs
• The Experimental Status of Glueballs
• Is f0(1710) a glueball?
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• On the spectral functions of scalar mesons
• Scalar Glueball in Radiative $J/\psi$ Decay on Lattice
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
• Chiral Symmetry Breaking and Meson Wave Functions in Soft-Wall AdS/QCD
• The Role of the Dilaton in Dense Skyrmion Matter
• Unitarity, analyticity, dispersion relations and resonances in strongly interacting $W_L{W}_L$, $Z_L{Z}_L$ and $hh$ scattering
• Scalar mesons and the fragmented glueball
• Glueballs as the Ithaca of meson spectroscopy
• New analytic unitarization schemes
• Analytic properties of different unitarization schemes
• AdS gravity and glueball spectrum
• QFT treatment of a bound state in a thermal gas

Cited by in corpus (4)

• Thermodynamics of the Glueball Resonance Gas
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Is $f_2(1950)$ the tensor glueball?
• Emergence of ghost in once-subtracted on-shell unitarization in glueball-glueball scattering