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QCD Laplace Sum Rules and the $Π(1300)$ Resonance

T. G. Steele·J. C. Breckenridge·M. Benmerrouche·V. Elias·A. H. Fariborz
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Abstract

A global fit to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$Π(1300)$] parameters is performed, leading to predictions for the pion-resonance mass and decay constant. This fit leads to predictions of $M_π = 1.15 \pm 0.15 GeV$ for the pion-resonance mass, and $F_π^2=(4.5\pm 2.1).(f_π^2m_π^4/M_π^4)$ for the pion-resonance decay constant.

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T. G. Steele, J. C. Breckenridge, M. Benmerrouche, V. Elias, A. H. Fariborz. 1997-06-23. QCD Laplace Sum Rules and the $Π(1300)$ Resonance. https://arxiv.org/abs/hep-ph/9706473

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