Scalar Glueball Mixing and Decay

Details Scalar Glueball Mixing and Decay Scalar Glueball Mixing and Decay

1998-07-17

arxiv.org/abs/hep-ph/9807400v4

Phys.Rev. D59 (1999) 014022; Erratum-ibid. D59 (1999) 079902

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.59.014022

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.

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