Tetraquark-adequate formulation of QCD sum rules Article Swipe
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· 2019
· Open Access
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· DOI: https://doi.org/10.1103/physrevd.100.014010
· OA: W2908660690
We study details of QCD sum rules \\`a la Shifman-Vainshtein-Zakharov for\nexotic tetraquark states. We point out that duality relations for correlators\ninvolving exotic currents have fundamental differences compared with the\nduality relations for the correlators of bilinear quark currents: namely, the\n$O(1)$ and $O(\\alpha_s)$ [$\\alpha_s$ the strong coupling constant] terms in the\noperator product expansion for the exotic correlators exactly cancel against\nthe contributions of the two-meson states on the hadron side of QCD sum rules.\nAs a result, the tetraquark properties turn out to be related to the specific\nnon-factorizable parts of the exotic Green functions; the relevant\nnon-factorizable diagrams start at order $O(\\alpha_s^2)$.\n
