OPE and quark-hadron duality for two-point functions of tetraquark currents in the 1/N-c expansion

Author(s)
Wolfgang Lucha, Dmitri Melikhov, Hagop Sazdjian
Abstract

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/N-c expansion in QCDoNcTHORN, nonfactorizable parts of the two-point Green functions of tetraquark currents provide N-c-suppressed contributions compared to the N-c-leading factorizable parts. A possible exotic tetraquark state may appear only in N-c-subleading contributions to the QCD Green functions, in full accord with the well-known rigorous properties of large-N-c QCD.

Organisation(s)
Particle Physics
External organisation(s)
Österreichische Akademie der Wissenschaften (ÖAW), Lomonosov Moscow State University (MSU), Joint Institute for Nuclear Research, Universität Wien, Université Paris-Saclay
Journal
Physical Review D
Volume
103
No. of pages
10
ISSN
2470-0010
DOI
https://doi.org/10.1103/PhysRevD.103.014012
Publication date
01-2021
Peer reviewed
Yes
Austrian Fields of Science 2012
103034 Particle physics
Keywords
Portal url
https://ucris.univie.ac.at/portal/en/publications/ope-and-quarkhadron-duality-for-twopoint-functions-of-tetraquark-currents-in-the-1nc-expansion(ea509a77-d277-43ad-bd54-8d7934bd27b0).html