Abstract
In this study, I calculate the branching fractions of the \(B^0\rightarrow \bar{D}^0K^+K^-\) and \(B^0_s\rightarrow \bar{D}^0K^+K^-\) decays using the Dalitz plot analysis based on the framework of the factorization approach. This analysis includes resonance and non-resonant contributions, the resonance of both decays are \(D^*_{s1,3}(2860)^-\) and \(D^*_{s2}(2573)^-\), while the combination of \(a_0(980)\) and \(f_0(980)\) are the resonances for the \(B^0\rightarrow \bar{D}^0K^+K^-\) decay and \(\phi (1680)\) is the corresponding resonance to the \(B^0_s\rightarrow \bar{D}^0K^+K^-\) decay. The overall branching fractions are obtained in this research to be \(\mathcal {B}(B^0\rightarrow \bar{D}^0K^+K^-)={{(5.63\pm 1.18)}}\times 10^{-5}\) and \(\mathcal {B}(B^0_s\rightarrow \bar{D}^0K^+K^-)=(5.03\pm 0.91)\times 10^{-5}\). The dominant contributions to these calculations are the \(a_0(980)-f_0(980)\) mixing for the \(B^0\rightarrow \bar{D}^0K^+K^-\) decay and the non-resonant and \(\phi (1680)\) resonance for the \(B^0_s\rightarrow \bar{D}^0K^+K^-\) decay. The obtained branching fraction of the \(B^0_s\rightarrow \bar{D}^0K^+K^-\) decay mode relative to that of the \(B^0\rightarrow \bar{D}^0K^+K^-\) decay, \({{(89.3\pm 24.7)}}\%\), is comparable to the experimental result, \((93.0\pm 8.9\pm 6.9)\%\), reported by the LHCb collaboration.
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Mohammadi, B. Resonance and Non-Resonant Contributions of the \(\varvec{B^0\rightarrow \bar{D}^0K^+K^-}\) and \(\varvec{B^0_s\rightarrow \bar{D}^0K^+K^-}\) Decays. Few-Body Syst 63, 70 (2022). https://doi.org/10.1007/s00601-022-01773-x
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DOI: https://doi.org/10.1007/s00601-022-01773-x