Cluster reducibility of multiquark operators and tetraquark-adequate QCD sum rules

Authors

  • Wolfgang Lucha Austrian Academy of Sciences
  • D. Melikhov M. V. Lomonosov Moscow State University
  • H. Sazdjian Université Paris-Saclay

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.0308035

Keywords:

Quark bound state, exotic hadrons, multiquark; tetraquark, QCD sum rules; interpolating operator, multiquark adequacy; clustering

Abstract

If connecting properties of a multiquark hadron with those exhibited by its constituents, QCD sum rules inferred along the routes of traditional wisdom necessarily involve contributions not related at all to and thus not presenting information about multiquarks. Realizing this deficiency, we propose to increase, for the example of tetraquarks, the predictive power of the QCD sum-rule formalism by disposal of all of the unwanted contributions from the very beginning; this move is easily accomplished by subjecting the contributions to our perspicuous selection criterion.

References

W. Lucha, D. Melikhov, and H. Sazdjian, Narrow Exotic Tetraquark Mesons in Large-Nc QCD, Phys. Rev. D 96 (2017) 014022. https://doi.org/10.1103/PhysRevD.96.014022

W. Lucha, D. Melikhov, and H. Sazdjian, Exotic States and Their Properties from Large-Nc QCD, Proc. Sci., EPS-HEP 2017 (2017) 390. https://doi.org/10.22323/1.314.0390

W. Lucha, D. Melikhov, and H. Sazdjian, Tetraquark and Two-Meson States at Large Nc, Eur. Phys. J. C 77 (2017) 866. https://doi.org/10.1140/epjc/s10052-017-5437-x

W. Lucha, D. Melikhov, and H. Sazdjian, Exotic Tetraquark Mesons in Large-Nc Limit: an Unexpected Great Surprise, EPJ Web of Conferences 192 (2018) 00044. https://doi.org/10.1051/epjconf/201819200044

W. Lucha, D. Melikhov, and H. Sazdjian, Are There Narrow Flavour-Exotic Tetraquarks in Large-Nc QCD?, Phys. Rev. D 98 (2018) 094011. https://doi.org/10.1103/PhysRevD.98.094011

W. Lucha, D. Melikhov, and H. Sazdjian, Tetraquark-Adequate Formulation of QCD Sum Rules, Phys. Rev. D 100 (2019) 014010. https://doi.org/10.1103/PhysRevD.100.014010

W. Lucha, D. Melikhov, and H. Sazdjian, Cluster Reducibility of Multiquark Operators, Phys. Rev. D 100 (2019) 094017. https://doi.org/10.1103/PhysRevD.100.094017

W. Lucha, D. Melikhov, and H. Sazdjian, Tetraquark-Adequate QCD Sum Rules for Quark-Exchange Processes, Phys. Rev. D 100 (2019) 074029. https://doi.org/10.1103/PhysRevD.100.074029

W. Lucha, D.Melikhov, and H. Sazdjian, Multiquark-Adequate QCD Sum Rules: the Case of Flavour-Exotic Tetraquarks, EPJ Web of Conferences 222 (2019) 03016. https://doi.org/10.1051/epjconf/201922203016

W. Lucha, D. Melikhov, and H. Sazdjian, OPE and Quark–Hadron Duality for Two-Point Functions of Tetraquark Currents in the 1/Nc Expansion, Phys. Rev. D 103 (2021) 014012. https://doi.org/10.1103/PhysRevD.103.014012

W. Lucha, D. Melikhov, and H. Sazdjian, Tetraquarks in Large-Nc QCD, Prog. Part. Nucl. Phys. 120 (2021) 103867. https://doi.org/10.1016/j.ppnp.2021.103867

M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, QCD and Resonance Physics. Theoretical Foundations, Nucl. Phys. B 147 (1979) 385. https://doi.org/10.1016/0550-3213(79)90022-1

K. G. Wilson, Non-Lagrangian Models of Current Algebra, Phys. Rev. 179 (1969) 1499. https://doi.org/10.1103/PhysRev.179.1499

M. Fierz, Zur Fermischen Theorie des Beta-Zerfalls, Z. Phys. 104 (1937) 553. https://doi-org.ezproxy.cern.ch/10.1007/BF01330070

S. Coleman, Aspects of Symmetry — Selected Erice Lectures (Cambridge University Press, Cambridge, UK, 1985), Chap. 8. https://doi.org/10.1017/CBO9780511565045

S. Weinberg, Tetraquark Mesons in Large-N Quantum Chromodynamics, Phys. Rev. Lett. 110 (2013) 261601. https://doi.org/10.1103/PhysRevLett.110.261601

L. D. Landau, On Analytic Properties of Vertex Parts in Quantum Field Theory, Nucl. Phys. 13 (1959) 181. https://doi.org/10.1016/0029-5582(59)90154-3

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Published

2022-06-13

How to Cite

1.
Lucha W, Melikhov D, Sazdjian H. Cluster reducibility of multiquark operators and tetraquark-adequate QCD sum rules. Supl. Rev. Mex. Fis. [Internet]. 2022 Jun. 13 [cited 2024 Apr. 25];3(3):0308035 1-5. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6062