The decays of the fully open flavor state $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario

Inspired by the recent observations of $T_{c\bar{s}0}^{0\mathrm{/}++}$ in the the processes $B^0\to {\bar{D}}^0{D}_s^{+}{\pi }^{-}$ and $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ by LHCb Collaboration, we investigate the decay properties of the $T_{c\bar{s}0}^0$ in a $D^{\ast }{K}^{\ast }$ molecule scenario, and the widths of $T_{c\bar{s}0}^0\to D^0{K}^0$, $D_s^{+}{\pi }^{-}$, $D_s^{\ast +}{\rho }^{-}$, $D_{s1}^{(\mathrm{\prime })+}{\pi }^{-}$, and $D^{\ast 0}(D\pi {)}^0$ are estimated. Our estimations indicate that the width of $T_{c\bar{s}0}^0\to D_s^{+}{\pi }^{-}$ is sizable to be observed and the dominant decay mode of $T_{c\bar{s}0}^0$ is $D^0{K}^0$. Considering the isospin symmetry, we proposed to search $T_{c\bar{s}0}(2900{)}^{++}$ in the $D^{+}{K}^{+}$ invariant mass distributions of the process $B^{+}\to D^{+}{D}^{-}{K}^{+}$, where some preliminary experimental hints have been observed by LHCb Collaboration.