In search of scalar gluonium

V. A. Novikov, M. A. Shifman, A. I. Vainshtein, V. I. Zakharov

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Abstract

We discuss a scalar meson coupled strongly to gluons. Radiative decays of the J/ψ are taken as a source of gluons so that our aim is to calculate Γ(J/ψ→σγ), where σ is the presumed scalar gluonium. We use QCD sum rules to find both 〈0|αsGμνaGμνa|σ〉 (where Gμνa is the gluon field strength tensor) and Γ(J/ψ→σγ) in terms of 〈0|αsGμνaGμνa|σ〉. The final prediction for the width is expected to be valid within a factor of two and gives Γ(J/ψ→σγ→two pions in S-wave + γ) {reversed tilde equals} 25 eV for mσ = 700 MeV. Non-perturbative QCD naturally explains the observed asymmetry between scalar and pseudoscalar states in the radiative decays of the J/ψ. Some general remarks on gluonium in QCD are made.

Original languageEnglish (US)
Pages (from-to)67-79
Number of pages13
JournalNuclear Physics, Section B
Volume165
Issue number1
DOIs
StatePublished - Mar 17 1980

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