https://doi.org/10.1140/epja/s10050-024-01476-3
Regular Article - Theoretical Physics
Pseudoscalar and vector tetraquarks
1
Institute for Physical Problems, Baku State University, 1148, Baku, Azerbaijan
2
Department of Physics, University of Tehran, North Karegar Avenue, 14395-547, Tehran, Iran
3
Department of Physics, Doǧuş University, Dudullu-Ümraniye, 34775, Istanbul, Türkiye
4
Department of Physics Engineering, Istanbul Medeniyet University, 34700, Istanbul, Türkiye
Received:
5
August
2024
Accepted:
22
December
2024
Published online:
27
January
2025
The pseudoscalar and vector four-quark states are studied in the context of the QCD sum rule method. We model
and
as structures built of diquarks
,
and
,
, respectively, with C being the charge conjugation matrix. The spectroscopic parameters of the tetraquarks
and
, i.e., their masses and current couplings are calculated using QCD two-point sum rule method. We evaluate the full widths of
and
by taking into account their kinematically allowed decay channels. In the case of the pseudoscalar particle they are processes
,
and
. The vector state
can dissociate to meson pairs
,
and
. Partial widths of these decays are determined by the strong couplings at relevant tetraquark-meson-meson vertices, which evaluated in the context of the three-point sum rule approach. Predictions obtained for the mass and full width of the pseudoscalar
,
and vector
,
tetraquarks can be useful for analyses of different four-quark resonances.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.