### 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|α_{s}G_{μν}^{a}G_{μν}^{a}|σ〉 (where G_{μν}^{a} is the gluon field strength tensor) and Γ(J/ψ→σγ) in terms of 〈0|α_{s}G_{μν}^{a}G_{μν}^{a}|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 m_{σ} = 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 language | English (US) |
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Pages (from-to) | 67-79 |

Number of pages | 13 |

Journal | Nuclear Physics, Section B |

Volume | 165 |

Issue number | 1 |

DOIs | |

State | Published - Mar 17 1980 |

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### Cite this

*Nuclear Physics, Section B*,

*165*(1), 67-79. https://doi.org/10.1016/0550-3213(80)90306-5