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Resonances $ϕ (1020)$ and $ϕ (1680)$ contributions for the three-body decays $B^{+} \to D_{s}^{+} K \bar{K}$

Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, Jiangsu 211167, P. R. China

https://doi.org/10.1142/S0217751X2050164XCited by:4 (Source: Crossref)

Abstract

We study the resonances $ϕ (1020)$ and $ϕ (1680)$ contributions for the three-body decays $B^{+} \to D_{s}^{+} K \bar{K}$ in the perturbative QCD approach. The branching ratios for $B^{+} \to D_{s}^{+} ϕ (1020) \to D_{s}^{+} K^{+} K^{-}$ and $B^{+} \to D_{s}^{+} ϕ (1020) \to D_{s}^{+} K^{0} {\bar{K}}^{0}$ are predicted to be $(1.53 \pm 0.23) \times 1 0^{- 7}$ and $(1.0 2_{- 0.13}^{+ 0.19}) \times 1 0^{- 7}$ , respectively. The decay $B^{+} \to D_{s}^{+} ϕ (1680)$ with $ϕ (1680)$ decays into $K^{+} K^{-}$ or $K^{0} {\bar{K}}^{0}$ , has the branching fraction $(6.9 4_{- 2.02}^{+ 1.83}) \times 1 0^{- 9}$ , which is about $5 %$ of the result for $B^{+} \to D_{s}^{+} ϕ (1020) \to D_{s}^{+} K^{+} K^{-}$ .

Keywords:

PACS: 13.25.Hw, 12.38.Bx, 14.40.Nd

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