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.
Cite
@article{arxiv.hep-ph/9807400,
title = {Scalar Glueball Mixing and Decay},
author = {Leonid Burakovsky and Philip R. Page},
journal= {arXiv preprint arXiv:hep-ph/9807400},
year = {2014}
}
Comments
25 pages, LaTeX, 1 encapsulated postscript figure. Formula changed in Appendix A. Eq. (5.1) changed and two-photon width predictions changed