https://doi.org/10.1140/epja/s10050-023-01061-0
Regular Article - Theoretical Physics
Spin partners of the 
resonances with a different approach than the Breit–Wigner parameterization
Physics Department, Faculty of Sciences and Arts, Amasya University, Amasya, Turkey
a
yildirimyilmaz@amasya.edu.tr
Received:
5
October
2022
Accepted:
20
June
2023
Published online:
5
July
2023
In general, resonances are obtained by the Breit–Wigner parameterization. However, it is not entirely appropriate to use this parameterization with near-threshold resonances such as the 
and the 
, as Breit–Wigner does not contain the threshold effect. To eliminate this defect, a recently proposed alternative distribution, the Sill, is used to predict possible heavy quark spin symmetry partners of the and the . With the Sill values of the and the states, assuming these exotics generate molecular states consisting of contact and a pion exchange potential, heavy quark spin symmetry partners are examined with S and D-wave contributions. In the light of the Sill type resonance approach, all the partners are found as bound states.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
