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Triangle singularities in \(B^{-} \rightarrow K^{-}\pi^{-}D^{+}_{s0}\) and \(B^{-} \rightarrow K^{-}\pi^{-}D^{+}_{s1}\)

  • S. Sakai
  • E. Oset
  • A. Ramos
Regular Article - Theoretical Physics

Abstract.

We study the appearance of structures in the decay of the \( B^{-}\) into \( K^{-} \pi^{-} D_{s0}^{+}(2317)\) and \( K^- \pi^- D_{s1}^+(2460)\) final states by forming invariant mass distributions of \( \pi^- D_{s0}^+\) and \( \pi^- D_{s1}^+\) pairs, respectively. The structure in the distribution is associated to the kinematical triangle singularity that appears when the \( B^- \rightarrow K^- K^{\ast 0} D^0\) (\( B^- \rightarrow K^- K^{\ast 0} D^{\ast 0}\)) decay process is followed by the decay of the \( K^{\ast 0}\) into \( \pi^- K^+\) and the subsequent rescattering of the \( K^+ D^0\) (\( K^+ D^{\ast 0}\)) pair forming the \( D_{s0}^+(2317)\) ( \( D_{s1}^+(2460)\) resonance. We find this type of non-resonant peaks at 2850MeV in the invariant mass of \( \pi^- D_{s0}\) pairs from \( B^- \rightarrow K^- \pi^- D_{s0}^+(2317)\) decays and around 3000MeV in the invariant mass of \( \pi^- D_{s1}^+\) pairs from \( B^- \rightarrow K^- \pi^- D_{s1}^+(2460)\) decays. By employing the measured branching ratios of the \( B^- \rightarrow K^- K^{\ast 0} D^0\) and \( B^- \rightarrow K^- K^{\ast 0} D^{\ast 0}\) decays, we predict the branching ratios for the processes \( B^-\) into \( K^- \pi^- D_{s0}^+(2317)\) and \( K^- \pi^- D_{s1}^+(2460)\) , in the vicinity of the triangle singularity peak, to be about \( 8\times10^{-6}\) and \( 1\times 10^{-6}\) , respectively. The observation of this reaction would also give extra support to the molecular picture of the \( D_{s0}^+(2317)\) and \( D_{s1}^+(2460)\) .

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de PaternaValenciaSpain
  2. 2.Departament de Física Quàntica i Astrofísica and Institut de Ciències del CosmosUniversitat de BarcelonaBarcelonaSpain

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