QCD Sum-Rule Invisibility of the sigma Meson
Abstract
QCD Laplace sum-rules for light-quark I=0,1 scalar currents are used to investigate candidates for the lightest scalar mesons. The theoretical predictions for the sum-rules include instanton contributions which split the degeneracy between the I=0 and I=1 channels. The self-consistency of the theoretical predictions is verified through a H\"older inequality analysis, confirming the existence of an effective instanton contribution to the continuum. The sum-rule analysis indicates that the f_0(980) and a_0(1450) should be interpreted as the lightest scalar mesons. This apparent decoupling of the f_0(400-1200) (or ) and a_0(980) from the quark scalar currents suggests a non- interpretation of these resonances.
Keywords
Cite
@article{arxiv.hep-ph/9905303,
title = {QCD Sum-Rule Invisibility of the sigma Meson},
author = {T. G. Steele and Fang Shi and V. Elias},
journal= {arXiv preprint arXiv:hep-ph/9905303},
year = {2007}
}
Comments
6 pages, latex. Talk at the Workshop on Hadron Spectroscopy, WHS'99, Frascati, March 1999