A QCD sum rule study of the light scalar mesons

Abstract

We examine the interpretation of the light scalar meson nonet as bound states of the scalar diquark and the scalar antidiquark using the QCD sum rule approach. Our results are obtained by means of the operator product expansion (OPE) including operators up to dimension 8. They show no evidence of the coupling of the tetraquark states to the light scalar meson nonet.

6 pages, 3 figures, changed title, revised manuscript

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• Exotica
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• The structure, mixing angle, mass and couplings of the light scalar $f_0(500)$ and $f_0(980)$ mesons
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• The new $a_1(1420)$ state: structure, mass and width
• QCD sum rule study on the $f_0(980)$ structure as a pure $K\bar{K}$ bound state
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• Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules