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arXiv · hep-ph/0007299

Gaussian Sum-Rules and Prediction of Resonance Properties

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

Techniques for using Gaussian QCD sum-rules to predict hadronic resonance properties are developed for single-resonance and two-resonance phenomenological models, and criteria are developed for determining which of these models is required for analyzing a particular hadronic channel. The vector current sum-rule coupled to the $ρ$ meson is shown to be consistent with a single resonance model, and the Gaussian sum-rule analysis results in an accurate $ρ$ mass prediction which exhibits excellent agreement between the theoretical prediction of the Gaussian sum-rule and the phenomenological model. A two-resonance model is shown to be necessary for the Gaussian sum-rule for the non-strange quark scalar ($\bar n n$) currents. The two-resonance Gaussian sum-rule analysis of the isoscalar and isovector ($I=0,1$) $\bar n n$ scalar mesons exhibits excellent agreement between the theoretical prediction and phenomenological model. The prediction of the resonance properties of the $I=0,1$ $\bar n n$ scalar mesons in this two-resonance model provides valuable information for the interpretation of the scalar mesons, including the X(1775).

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G. Orlandini, T. G. Steele, D. Harnett. 2000-08-02. Gaussian Sum-Rules and Prediction of Resonance Properties. https://doi.org/10.1016/s0375-9474(00)00512-1

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