The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$

Abstract

Motivated by the recent LHCb observations of $T_{c\bar{s}0}(2900{)}^0$ and $T_{c\bar{s}0}(2900{)}^{++}$ in the processes $B^0\to {\bar{D}}^0{D}_s^{+}{\pi }^{-}$ and $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$, we have investigated the decay $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$ by taking into account the contributions from the $S$-wave vector-vector interactions, and the $S$-wave $D_s^{+}{K}^{-}$ interactions. Our results show that the $D_s^{+}{K}^{-}$ invariant mass distribution has an enhancement structure near the threshold, associated with the $D_0^{\ast }(2300)$, which is in good agreement with the Belle measurements. We have also predicted the $D_s^{+}{\pi }^{-}$ invariant mass distribution and the Dalitz plot, which show the significant signal of the $T_{c\bar{s}0}(2900)$. With the same formalism, the $D_s^{-}{K}_s^0$ invariant mass distribution of the process $B^0\to D_s^{-}{K}_s^0{\pi }^{+}$ measured by Belle could be well reproduced, and the peak of $T_{c\bar{s}0}(2900)$ is expected to be observed around 2900~MeV in the $D_s^{-}{\pi }^{+}$ invariant mass distribution. Our results could be tested by the Belle II and LHCb experiments in the future.

11 pages, 13 figures

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