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 $M_{\pi }=1.15\pm 0.15GeV$ for the pion-resonance mass, and $F_{\pi }^2=(4.5\pm 2.1).(f_{\pi }^2{m}_{\pi }^4/M_{\pi }^4)$ for the pion-resonance decay constant.

Comments: 3 pages, latex, no figures, uses sprocl.sty, to appear in the proceedings of the DPF 1996 meeting, Minneapolis