Elsevier

Nuclear Physics B

Volume 165, Issue 1, 17 March 1980, Pages 67-79
Nuclear Physics B

In search of scalar gluonium

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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/ψσγ), 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/ψσγ) 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) ⋍ 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.

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Permanent address: Institute for Nuclear Physics, Novosibirsk 90, USSR.

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