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Gaussian Sum-Rule Analysis of Scalar Gluonium and Quark Mesons

T. G. Steele·D. Harnett·G. Orlandini
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Abstract

Gaussian sum-rules, which are related to a two-parameter Gaussian-weighted integral of a hadronic spectral function, are able to examine the possibility that more than one resonance makes a significant contribution to the spectral function. The Gaussian sum-rules, including instanton effects, for scalar gluonic and non-strange scalar quark currents clearly indicate a distribution of the resonance strength in their respective spectral functions. Furthermore, analysis of a two narrow resonance model leads to excellent agreement between theory and phenomenology in both channels. The scalar quark and gluonic sum-rules are remarkably consistent in their prediction of masses of approximately 1.0 GeV and 1.4 GeV within this model. Such a similarity would be expected from hadronic states which are mixtures of gluonium and quark mesons.

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T. G. Steele, D. Harnett, G. Orlandini. 2003-08-06. Gaussian Sum-Rule Analysis of Scalar Gluonium and Quark Mesons. https://doi.org/10.1063/1.1632201

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