Probing $D^*_{s0}(2317)$ in the decays of $B$ to two charmed mesons

TL;DR

This paper investigates the structure of the meson $D^*_{s0}(2317)$ via $B$ meson decays using pQCD, finding predictions consistent with data and suggesting a smaller decay constant for the meson.

Contribution

It provides the first detailed pQCD-based analysis of $B$ decays involving $D^*_{s0}(2317)$, supporting a $ar cs$ scalar meson structure with specific decay constant estimates.

Findings

Predicted branching ratios align with experimental data.

Estimated $D^*_{s0}(2317)$ decay constant around 55-70 MeV.

Ratios $R_1$ and $R_2$ are consistent with current measurements.

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 $B^0\to D^{*+}_{s0}(2317)D^{*-}$.