/ Phenomenology-HEP hep-ph/0608188

Instanton interpolating current for sigma-tetraquark

Lee, Hee-Jung (APCTP, Pohang) ; Kochelev, N.I. (Dubna, JINR)

Published in: Phys.Lett.
Year: 2006
Vol.: B642
Page No: 358-365
Pages: 12

Abstract: 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.

Keyword(s): QCD sum rule ; Scalar meson ; Tetraquark ; Instanton ; OPE

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