Tetraquark-adequate QCD sum rules for quark-exchange processes

Abstract

We consider quark-hadron duality relations and QCD sum rules for correlators involving exotic tetraquark currents, here specializing to the case of quark-exchange processes. We point out the differences they exhibit with respect to the cases involving ordinary bilinear quark currents. Based on the observation that only diagrams possessing at least four-quark singularities can contribute to the formation of tetraquark states, we show that the quark-hadron duality relations and the corresponding sum rules split into two non-overlapping relations. The ultimate tetraquark-adequate QCD sum rule is concerned only with one of these relations, in which the operator product expansion starts with diagrams of order $O({\alpha }_s^2)$.

arXiv comment8 pages, version to appear in Phys. Rev. D

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• The newly observed $Z_{cs}(3985{)}^{-}$ state: in vacuum and a dense medium
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
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• Two-particle contributions and nonlocal effects in the QCD sum rules for the axialvector tetraquark candidate $Z_c(3900)$
• OPE and quark-hadron duality for two-point functions of tetraquark currents in $1/N_c$ expansion
• Multiquark-Adequate QCD Sum Rules: the Case of Flavour-Exotic Tetraquarks
• Mission Target: Exotic Multiquark Hadrons -- Sharpened Blades
• Comment on "Landau equation and QCD sum rules for the tetraquark molecular states" [Phys. Rev. D 101, 074011 (2020)]
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