QCD sum rules and the Π(1300) resonance

✍ Scribed by T.G. Steele; J.C. Breckenridge; M. Benmerrouche; V. Elias; A.H. Fariborz

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 425 KB
• Volume: 624
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(97)00472-7

✦ Synopsis

Global fits to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pionresonance [H(1300)] parameters are performed, leading to predictions for the pion-resonance mass and decay constant. Two scenarios are considered which differ only in their treatment of the dimension-six quark condensate (06). The first scenario assumes an effective scale lbr (O~, 1 from other sum-rule applications which is assumed to be independent of the physical value of the quark mass, while the second scenario requires self-consistency between the value of (06) and the current algebra constraint 2m((lq) = -f~m~. Predictions of the pion-resonance mass Mr and decay constant F~ are obtained in these two scenarios. A byproduct of this analysis is a prediction of the renormalization-group invariant quark mass (r~,, + Jha)/2. @ 1997 Elsevier Science B.V.