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 q q 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 f0(980) and a0(1450) should be interpreted as the lightest q q scalar mesons. This apparent decoupling of the f0(400-1200) (or σ) and a0(980) from the quark scalar currents suggests a non-q q interpretation of these resonances.
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