Predictions for the X(YZ) and X(YZ) with X(4160), Y(3940), Z(3930)

Wei-Hong Liang; R. Molina; Ju-Jun Xie; M. Döring; E. Oset

doi:10.1140/epja/i2015-15058-3

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2024 Impact factor 2.8

Hadrons and Nuclei

Eur. Phys. J. A (2015) 51: 58
https://doi.org/10.1140/epja/i2015-15058-3

Regular Article - Theoretical Physics

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 Liang¹^,2^*, R. Molina³, Ju-Jun Xie²^,4^,5, M. Döring³ and E. Oset²^,6

¹ Department of Physics, Guangxi Normal University, 541004, Guilin, China
² Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
³ The George Washington University, 725 21st St NW, 20052, Washington, DC, USA
⁴ Research Center for Hadron and CSR Physics, Institute of Modern Physics of CAS and Lanzhou University, 730000, Lanzhou, China
⁵ State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China
⁶ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Aptdo. 22085, 46071, Valencia, Spain

^* e-mail: liangwh@mailbox.gxnu.edu.cn

Received: 20 February 2015
Revised: 18 April 2015
Accepted: 29 April 2015
Published online: 22 May 2015

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.