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Sigma meson in pole-dominated QCD sum rules · Around

2008

Sigma meson in pole-dominated QCD sum rules

Kojo, Toru, Jido, Daisuke

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The properties of $\sigma$(600) meson are studied using the QCD sum rules (QSR) for the tetraquark operators.

In the SU(3) chiral limit, we investigate separately SU(3) singlet and octet tetraquark states as constituents of the $\sigma$ meson, and discuss their roles for the classification of the light scalar nonets, $\sigma, f_0, a_0$, and $\kappa$, as candidates of tetraquark states.
All our analyses are performed in the the suitable Borel window which is indispensable to avoid the {\it pseudo peak} artifacts outside of the Borel window.
The acceptably wide Borel window originates after preparing the favorable set up of a linear combination of operators and the inclusion of the dimension 12 terms in the OPE.

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D. Black, A.H. Fariborz, and J. Schechter, Phys. Rev. D 69

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T. Kojo and D. Jido, in preparation

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For a 0 a_{0} (980) meson, similar conclusion is derived with explicit use of the mixing of 4q and 2q correlators in QSR including dim.12 terms, J. Sugiyama et al

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