Scalar Glueball Mixing and Decay

Abstract

We provide the first explanation of the counter-intuitive scalar glueball couplings to pseudoscalar mesons found in lattice QCD and predict hitherto uncalculated decay modes. Significant a_1 pi and (pi pi)_S (pi pi)_S couplings are found. We demonstrate the equivalence of linear and quadratic mass matrices for glueball-quarkonium mixing. The equivalence of formalisms which deal with a glueball-quarkonium basis and only a quarkonium basis is demonstrated. We show that the f_0(1500) is not the heaviest state arising from glueball-quarkonium mixing for a glueball mass consistent with lattice QCD. The masses and couplings of scalar mesons, as well as their valence content, are calculated.

25 pages, LaTeX, 1 encapsulated postscript figure. Formula changed in Appendix A. Eq. (5.1) changed and two-photon width predictions changed

References in corpus (3)

• Glueballs and string breaking from full QCD
• New Glueball-Meson Mass Relations
• The Scalar Quarkonium Spectrum and Quarkonium-Glueball Mixing

Cited by in corpus (22)

• The Physics of Glueballs
• Light Meson Spectroscopy
• Strong Decays of Strange Quarkonia
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• The mixing of the f0(1370), f0(1500) and f0(1710) and the search for the scalar glueball
• Scalar meson and glueball decays within a effective chiral approach
• Revisiting Scalar Glueballs
• Near-Maximal Mixing of Scalar Gluonium and Quark Mesons: A Gaussian Sum-Rule Analysis
• A Gaussian Sum-Rules Analysis of Scalar Glueballs
• Singlet-octet-glueball mixing of scalar mesons
• The BES f_0(1810): a new glueball candidate
• Lattice calculations of hadron properties
• Tensor Glueball Photoproduction and Decay
• Search for the glueball content of hadrons in gamma p interactions at GlueX
• Glueball Production via Gluonic Penguin B Decays
• Glueball enhancements in p(gamma,VV)p through vector meson dominance
• f_0(1710) production in exclusive B decays
• On the Mixing of the Scalar Mesons $f_0(1370)$, $f_0(1500)$ and $f_0(1710)$
• Two-Loop QCD Renormalization and Anomalous Dimension of the Scalar Diquark Operator
• Generalized Schwinger Mass Formula
• Confinement of Fermions in Tachyon Matter at Finite Temperature