Molecular nature of the ωc (3120) and its analogy with the ω (2012)

We make a study of the ωc(3120), one of the five ωc states observed by the LHCb Collaboration, which is well reproduced as a molecular state from the Ξc∗K̄ and ωc∗η channels mostly. The state with JP=3/2- decays to ΞcK̄ in the D wave, and we include this decay channel in our approach, as well as the...

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Detalles Bibliográficos
Autores: Ikeno, N., Liang, W.H., Oset, Eulogi
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/364883
Acceso en línea:http://hdl.handle.net/10261/364883
Access Level:acceso abierto
Descripción
Sumario:We make a study of the ωc(3120), one of the five ωc states observed by the LHCb Collaboration, which is well reproduced as a molecular state from the Ξc∗K̄ and ωc∗η channels mostly. The state with JP=3/2- decays to ΞcK̄ in the D wave, and we include this decay channel in our approach, as well as the effect of the Ξc∗ width. With all these ingredients, we determine the fraction of the ωc(3120) width that goes into ΞcπK̄, which could be a measure of the Ξc∗K̄ molecular component, but due to a relatively big binding, compared to its analogous ω(2012) state, we find only a small fraction of about 3%, which makes this measurement difficult with present statistics. As an alternative, we evaluate the scattering length and effective range of the Ξc∗K̄ and ωc∗η channels, which, together with the binding and width of the ωc(3120) state, could give us an answer to the issue of the compositeness of this state when these magnitudes are determined experimentally, something feasible nowadays, for instance, measuring correlation functions.