Abstract
We probe the inner structure of the meson $D^*_{s0}(2317)$ through the decays of $B_{(s)}$ to two charmed mesons within pQCD approach. Assuming $D^*_{s0}(2317)$ as a scalar meson with $\bar cs$ structure, we find that the predictions for the branching ratios of the decays $B^+\to D^{*+}_{s0}(2317)\bar D^{(*)0}, B^0\to D^{*+}_{s0}(2317)D^{(*)-}$ can explain data within errors. The branching ratios for the decays $B_s\to D^{*+}_{s0}(2317)D_s^{(*)+}$ are estimated to reach up to $10^{-3}$ order, which can be observed by the present LHCb and SuperKEKB experiments. In this work, the decay constant of the meson $D^*_{s0}(2317)$ is an input parameter. Unfortunately, its value has been studied by many references but with large uncertainties. Our calculation shows that a smaller decay constant of the meson $D^*_{s0}(2317)$ is supported by compared with the present data, say $55\sim70$ MeV. We also calculate the ratios $R_1=\frac{Br(B^+\to D^{*+}_{s0}(2317)\bar D^0)}{Br(B^+\to D^{*+}_{s0}(2317)\bar D^{*0})})$ and $R_2=\frac{Br(B^0\to D^{*+}_{s0}(2317)D^-)}{Br(B^0\to D^{*+}_{s0}(2317)D^{*-})}$, which are valuable to determine the inner structure of $D^*_{s0}(2317)$ by compared with the experimental results. Our predictions for the ratios $R_{1,2}$ are consistent with the present data within errors.We expect that these two ratios can be well measured by the future experiments through improving the measurement accuracy for the decays $B^+\to D^{*+}_{s0}(2317)\bar D^{*0}$ and $B^0\to D^{*+}_{s0}(2317)D^{*-}$.
Highlights
The charmed-strange meson DÃs0ð2317Þ was first observed by BABAR Collaboration in the inclusive Dþs π0 invariant mass distribution [1], and confirmed by CLEO [2]
The branching ratios of these decays measured by BABAR and Belle were averaged by the Particle Data Group (PDG) and given as [6]
In order to further reveal the inner structure of DÃs0ð2317Þ, we intend to study the weak production of this charmed-strange meson through the two charmedmeson BðsÞ decays, some of which have been studied by using the light cone sum rules (LCSR) [41] and the relativistic quark model (RQM) [46]
Summary
The charmed-strange meson DÃs0ð2317Þ was first observed by BABAR Collaboration in the inclusive Dþs π0 invariant mass distribution [1], and confirmed by CLEO [2]. Assuming the DÃs0ð2317Þ as a conventional charmed-strange meson, its properties were studied by using constituent quark model [29], covariant light-front approach [30], QCD sum rules [31,32], MIT bag model [33], potential model [34,35,36], Regge trajectories [37] and so on. In order to further reveal the inner structure of DÃs0ð2317Þ, we intend to study the weak production of this charmed-strange meson through the two charmedmeson BðsÞ decays, some of which have been studied by using the light cone sum rules (LCSR) [41] and the relativistic quark model (RQM) [46]. A short summary of our results is presented in the final part
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