# Tetraquark-adequate QCD sum rules for quark-exchange processes

Author(s)
Wolfgang Lucha, Dmitri Melikhov, Hagop Sazdjian
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 $O(\alpha_s^2)$.

Organisation(s)
Particle Physics
External organisation(s)
Österreichische Akademie der Wissenschaften (ÖAW), Lomonosov Moscow State University (MSU), Universität Wien, Université Paris-Saclay
Journal
Physical Review D
Volume
100
No. of pages
6
ISSN
2470-0010
DOI
https://doi.org/10.1103/PhysRevD.100.074029
Publication date
10-2019
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics
Keywords
Portal url