QCD Laplace Sum Rules and the $\Pi (1300)$ Resonance

Abstract

A global fit to the shape of the first QCD Laplace sum rule exhibiting sensitivity to pion-resonance [$\Pi (1300)$] parameters is performed, leading to predictions for the pion-resonance mass and decay constant. This fit leads to predictions of $M_{\pi} = 1.15 \pm 0.15 GeV$ for the pion-resonance mass, and $F_\pi^2=(4.5\pm 2.1).(f_\pi^2m_\pi^4/M_\pi^4)$ for the pion-resonance decay constant.