Gaussian sum-rules and prediction of resonance properties

✍ Scribed by G. Orlandini; T.G. Steele; D. Harnett

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 284 KB
• Volume: 686
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(00)00512-1

✦ Synopsis

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 sumrule for the nonstrange quark scalar ( nn) currents. The two-resonance Gaussian sum-rule analysis of the isoscalar and isovector (I = 0, 1) nn scalar mesons exhibits excellent agreement between the theoretical prediction and phenomenological model. The prediction of the resonance properties of the I = 0, 1 nn scalar mesons in this two-resonance model provides valuable information for the interpretation of the scalar mesons, including the X(1775).