The interplay between compact and molecular structures in tetraquarks

Abstract

Due to the cluster reducibility of multiquark operators, a strong interplay exists in tetraquarks between the compact structure, resulting from the direct confining forces acting on quarks and gluons, and the molecular structure, dominated by the mesonic clusters. This issue is studied within an effective field theory approach, where the compact tetraquark is treated as an elementary particle. The key ingredient of the analysis is provided by the primary coupling constant of the compact tetraquark to the two mesonic clusters. Under the influence of this coupling, an initially formed compact tetraquark bound state evolves towards a new structure, where a molecular configuration is also present. In the strong-coupling limit, the evolution may end with a shallow bound state of the molecular type. The strong-coupling regime is also favored by the large-$N_c$ properties of QCD. The interplay between compact and molecular structures may provide a natural explanation of the existence of many shallow bound states.

46 pages, 15 figures. Intended for the special issue of Symmetry "Search for new phenomena in heavy-quark physics" (Editor: Dmitri Melikhov). A few minor changes with respect to the first version. A few typos corrected (in particular in Eqs. (85), (86) and (A.2))

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