Instanton interpolating current for $σ$--tetraquark

Details Instanton interpolating current for $σ$--tetraquark Instanton interpolating current for $σ$--tetraquark

2006-08-17

arxiv.org/abs/hep-ph/0608188v3

Phys.Lett.B642:358-365,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 7 figures, final version to be appeared in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2006.09.049

We perform a QCD sum rule analysis for the light scalar meson $\sigma$ ($f_0(600)$) with a tetraquark current related to the instanton picture for QCD vacuum. We demonstrate that instanton current, including equal weights of scalar and pseudoscalar diquark-antidiquarks, leads to a strong cancelation between the contributions of high dimension operators in the operator product expansion (OPE). Furthermore, in the case of this current direct instanton contributions do not spoil the sum rules. Our calculation, obtained from the OPE up to dimension 10 operators, gives the mass of $\sigma$--meson around 780MeV.

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