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arXiv · hep-ph/9905303

QCD Sum-Rule Invisibility of the sigma Meson

T. G. Steele·Fang Shi·V. Elias
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Abstract

QCD Laplace sum-rules for light-quark I=0,1 scalar currents are used to investigate candidates for the lightest $q\bar q$ 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 Hölder 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 $q\bar q$ scalar mesons. This apparent decoupling of the f_0(400-1200) (or $σ$) and a_0(980) from the quark scalar currents suggests a non-$q\bar q$ interpretation of these resonances.

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T. G. Steele, Fang Shi, V. Elias. 1999-05-11. QCD Sum-Rule Invisibility of the sigma Meson. https://arxiv.org/abs/hep-ph/9905303

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