OPE and quark-hadron duality for two-point functions of tetraquark currents in the 1/Nc expansionстатья
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Аннотация:We discuss the operator product expansion (OPE) and quark-hadron duality for two-point Green functions of tetraquark currents. We emphasize that the factorizable part of the OPE series for such Green functions, including nonperturbative contributions described by QCD condensates, is saturated by the full system of ordinary hadrons and therefore cannot have any relationship to the possible tetraquark bound states. Possible tetraquark bound states may be contained in nonfactorizable parts of these Green functions. In the framework of the 1=Nc expansion in QCD(Nc), nonfactorizable parts of the two-point Green functions of tetraquark currents provide Nc-suppressed contributions compared to the Nc-leading factorizable parts. A possible exotic tetraquark state may appear only in Nc-subleading contributions to the QCD Green functions, in full accord with the well-known rigorous properties of large-Nc QCD.