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

被引：4

作者：

Lucha, Wolfgang ^{[1
]}

Melikhov, Dmitri ^{[2
,3
,4
]}

Sazdjian, Hagop ^{[5
]}

机构：

[1] Austrian Acad Sci, Inst High Energy Phys, Nikolsdorfergasse 18, A-1050 Vienna, Austria

[2] Moscow MV Lomonosov State Univ, DV Skobeltsyn Inst Nucl Phys, Moscow 119991, Russia

[3] Joint Inst Nucl Res, Dubna 141980, Russia

[4] Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria

[5] Univ Paris Saclay, IJCLab, CNRS, IN2P3, F-91405 Orsay, France

来源：

PHYSICAL REVIEW D | 2021年 / 103卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

QCD;

D O I：

10.1103/PhysRevD.103.014012

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：10

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