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Predictions for the \(\bar{B}^{0}\rightarrow \bar{K}^{\ast 0}\)X(YZ) and \(\bar{B}^{0}_{s}\rightarrow\phi\)X(YZ) with X(4160), Y(3940), Z(3930)

  • Wei-Hong LiangEmail author
  • R. Molina
  • Ju-Jun Xie
  • M. Döring
  • E. Oset
Regular Article - Theoretical Physics

Abstract.

We investigate the decay of \(\bar{B}^{0}\rightarrow \bar{K}^{\ast 0} R\) and \(\bar{B}^{0}_{s} \rightarrow \phi R\) with R being the \(X(4160)\), \(Y(3940)\), \(Z(3930)\) resonances. Under the assumption that these states are dynamically generated from the vector-vector interaction, as has been concluded from several theoretical studies, we use a reaction mechanism of quark production at the elementary level, followed by hadronization of one final \(q\bar{q}\) pair into two vectors and posterior final state interaction of this pair of vector mesons to produce the resonances. With this procedure we are able to predict five ratios for these decays, which are closely linked to the dynamical nature of these states, and also predict the order of magnitude of the branching ratios which we find of the order of \( 10^{-4}\), well within the present measurable range. In order to further test the dynamical nature of these resonances we study the \(\bar{B}^{0}_{s} \rightarrow \phi D^{\ast} \bar{D}^{\ast}\) and \(\bar{B}^{0}_{s} \rightarrow \phi D_{s}^{\ast} \bar{D}_{s}^{\ast}\) decays close to the \( D^{\ast} \bar{D}^{\ast}\) and \( D_{s}^{\ast} \bar{D}_{s}^{\ast}\) thresholds and make predictions for the ratio of the mass distributions in these decays and the \( \bar{B}^{0}_{s} \rightarrow \phi R\) decay widths. The measurement of these decays rates can help unravel the nature of these resonances.

Keywords

Vector Meson Molecular Nature LHCb Collaboration Belle Collaboration Quark Level 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Wei-Hong Liang
    • 1
    • 2
    Email author
  • R. Molina
    • 3
  • Ju-Jun Xie
    • 2
    • 4
    • 5
  • M. Döring
    • 3
  • E. Oset
    • 2
    • 6
  1. 1.Department of PhysicsGuangxi Normal UniversityGuilinChina
  2. 2.Institute of Modern PhysicsChinese Academy of SciencesLanzhouChina
  3. 3.The George Washington UniversityWashington, DCUSA
  4. 4.Research Center for Hadron and CSR PhysicsInstitute of Modern Physics of CAS and Lanzhou UniversityLanzhouChina
  5. 5.State Key Laboratory of Theoretical PhysicsInstitute of Theoretical Physics, Chinese Academy of SciencesBeijingChina
  6. 6.Departamento de Física Teórica and IFICCentro Mixto Universidad de Valencia-CSIC Institutos de Investigación de PaternaValenciaSpain

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