Cluster reducibility of multiquark operators

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

It is shown that the multiquark gauge-invariant operators can, in general, be decomposed into combinations of products of ordinary hadronic operators, exhibiting their cluster reducibility. The latter property inhibits the formation of completely compact multiquark bound states. Multiquark operators still play a crucial role in the description of exotic states in regions of configuration space where the hadronic clusters are close to each other. Our proof gives a foundation for a unified viewpoint, where the multiquark-Type and the molecular-Type approaches play complementary roles, at the gauge-invariant nonlocal operator level.

Organisation(s)
Particle Physics
External organisation(s)
Österreichische Akademie der Wissenschaften (ÖAW), D. V. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University (MSU), Universität Wien, Univ Paris Diderot, Centre National de la Recherche Scientifique (CNRS), CNRS - National Institute for Biology (INSB), UDICE-French Research Universities, Universite de Paris, CNRS, Lab Epigenet & Destin Cellulaire, UMR7216
Journal
Physical Review D
Volume
100
ISSN
2470-0010
DOI
https://doi.org/10.1103/PhysRevD.100.094017
Publication date
11-2019
Peer reviewed
Yes
Austrian Fields of Science 2012
103034 Particle physics
ASJC Scopus subject areas
Physics and Astronomy (miscellaneous)
Portal url
https://ucris.univie.ac.at/portal/en/publications/cluster-reducibility-of-multiquark-operators(83a1fbff-b817-4ddc-9367-08aa1c962f19).html