Searching for the open flavor tetraquark $T_{c\bar{s}0}^{++}(2900)$ in the process $B^{+}\to K^{+}{D}^{+}{D}^{-}$

Abstract

Inspired by recent observations of $T_{c\bar{s}0}(2900{)}^0$ in the $D_s^{+}{\pi }^{-}$ invariant mass distribution of $B^0\to {\bar{D}}^0{D}_s^{+}{\pi }^{-}$ decay and $T_{c\bar{s}0}(2900{)}^{++}$ in the $D_s^{+}{\pi }^{+}$ invariant mass distribution of $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ decay, we investigate the $T_{c\bar{s}0}(2900{)}^{++}$ contribution to the $B^{+}\to K^{+}{D}^{+}{D}^{-}$ decay in a molecular scenario, where we consider $T_{c\bar{s}0}(2900)r^{++}$ as a $D^{\ast +}{K}^{\ast +}$ molecular state. Our estimations indicate that the fit fraction of $T_{c\bar{s}0}(2900{)}^{++}$ in the $B^{+}\to K^{+}{D}^{+}{D}^{-}$ is about $12.5\%$, and its signal is visible in the $D^{+}{K}^{+}$ invariant mass distribution. With the involvement of $T_{c\bar{s}0}(2900{)}^{++}$, the fit fractions of ${\chi }_{c0}(3915)$ and ${\chi }_{c2}(3930)$ may be much different with the ones obtained by the present amplitude analysis [Phys. Rev. D \textbf{102}, 112003 (2020)], which may shed light on the long standing puzzle of ${\chi }_{c0}(3915)$ as the conventional charmonium.

7 pages, 3 figures. Comments are welcome