Triangle singularity in B-→ K-X(3872) ; X→ ππ+π- and the X(3872) mass

We evaluate the contribution to the X(3872) width from a triangle mechanism in which the X decays into DD¯ - cc, then the D(D¯ ) decays into Dπ (D¯ π) and the DD¯ fuse to produce ππ. This mechanism produces an asymmetric peak from a triangle singularity in the ππ invariant mass with a shape very sen...

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Detalles Bibliográficos
Autores: Molina, Raquel, Oset, Eulogi
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/221002
Acceso en línea:http://hdl.handle.net/10261/221002
Access Level:acceso abierto
Descripción
Sumario:We evaluate the contribution to the X(3872) width from a triangle mechanism in which the X decays into DD¯ - cc, then the D(D¯ ) decays into Dπ (D¯ π) and the DD¯ fuse to produce ππ. This mechanism produces an asymmetric peak from a triangle singularity in the ππ invariant mass with a shape very sensitive to the X mass. We evaluate the branching ratios for a reaction where this effect can be seen in the B→ Kπππ reaction and show that the determination of the peak in the invariant mass distribution of ππ is all that is needed to determine the X mass. Given the present uncertainties in the X mass, which do not allow to know whether the DD¯ state is bound or not, measurements like the one suggested here should be most welcome to clarify this issue.