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Title: Top-down holographic glueball decay rates

Abstract

We present new results on the decay patterns of scalar and tensor glueballs in the top-down holographic Witten-Sakai-Sugimoto model. This model, which has only one free dimensionless parameter, gives semi-quantitative predictions for the vector meson spectrum, their decay widths, and also a gluon condensate in agreement with SVZ sum rules. The holographic predictions for scalar glueball decay rates are compared with experimental data for the widely discussed gluon candidates f{sub 0}(1500) and f{sub 0}(1710)

Authors:
; ;  [1]
  1. Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040 Vienna (Austria)
Publication Date:
OSTI Identifier:
22499093
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1701; Journal Issue: 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; DECAY; FORECASTING; GLUEBALLS; GLUON CONDENSATION; GLUONS; HOLOGRAPHY; SCALARS; SPECTRA; SUM RULES; VECTOR MESONS

Citation Formats

Brünner, F., Parganlija, D., and Rebhan, A. Top-down holographic glueball decay rates. United States: N. p., 2016. Web. doi:10.1063/1.4938709.
Brünner, F., Parganlija, D., & Rebhan, A. Top-down holographic glueball decay rates. United States. doi:10.1063/1.4938709.
Brünner, F., Parganlija, D., and Rebhan, A. 2016. "Top-down holographic glueball decay rates". United States. doi:10.1063/1.4938709.
@article{osti_22499093,
title = {Top-down holographic glueball decay rates},
author = {Brünner, F. and Parganlija, D. and Rebhan, A.},
abstractNote = {We present new results on the decay patterns of scalar and tensor glueballs in the top-down holographic Witten-Sakai-Sugimoto model. This model, which has only one free dimensionless parameter, gives semi-quantitative predictions for the vector meson spectrum, their decay widths, and also a gluon condensate in agreement with SVZ sum rules. The holographic predictions for scalar glueball decay rates are compared with experimental data for the widely discussed gluon candidates f{sub 0}(1500) and f{sub 0}(1710)},
doi = {10.1063/1.4938709},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1701,
place = {United States},
year = 2016,
month = 1
}
  • Using holographic QCD based on D4-branes and D8-anti-D8-branes, we have computed couplings of glueballs to light mesons. We describe glueball decay by explicitly calculating its decay widths and branching ratios. Interestingly, while glueballs remain less well understood both theoretically and experimentally, our results are found to be consistent with the experimental data for the scalar glueball candidate f{sub 0}(1500). More generally, holographic QCD predicts that decay of any glueball to 4{pi}{sup 0} is suppressed, and that mixing of the lightest glueball with qq mesons is small.
  • We present a realization of quarkonium decay violating the Okubo-Zweig-Iizuka (OZI) rule dominated by intermediate glueball resonances. This leads to glueball decay widths which interpolate OZI-rule allowed and -forbidden widths, i.e., glueball widths of the order of tens of MeV.
  • 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{sub 1}{pi} and ({pi}{pi}){sub S}({pi}{pi}){sub 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{sub 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,more » are calculated. {copyright} {ital 1998} {ital The American Physical Society}« less
  • Because glueballs are SU(3){sub Flavor} singlets, they are expected to couple equally to u,d, and s quarks, so that equal coupling strengths to {pi}{sup +}{pi}{sup -} and K{sup +}K{sup -} are predicted. However, we show that chiral symmetry implies the scalar glueball amplitude for G{sub 0} {yields} {bar q}q is proportional to the quark mass, so that mixing with {bar s}s mesons is enhanced and decays to K{sup +}K{sup -} are favored over {pi}{sup +}{pi}{sup -}. Together with evidence from lattice calculations and from experiment, this supports the hypothesis that f{sub 0}(1710) is the ground state scalar glueball.
  • We derive two sum rules for the amplitudes for two-photon decays of the pseudoscalar mesons including a glueball. The two-photon decay width of the pseudoscalar glueball can be estimated with inputs of GAMMA(..pi -->..2..gamma..), GAMMA(eta..-->..2..gamma..), and GAMMA(eta'..-->..2..gamma..), assuming Ward identities and two other conditions to be useful. If the E(1440) seen in the radiative decay of J/psi is the pseudoscalar glueball, then we obtain GAMMA(E..-->..2..gamma..) = 10 +- 26 keV, where the large error comes mainly from the experimental ambiguity of GAMMA(eta'..-->..2..gamma..).