Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$

Recently, the LHCb Collaboration has measured two decay processes $B^0\to {\bar{D}}^0{D}_s^{+}{\pi }^{-}$ and $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ related to isospin symmetry, where two new open-flavor tetraquark states $T_{c\bar{s}}(2900{)}^0$ and $T_{c\bar{s}}(2900{)}^{++}$ that belong to an isospin triplet were observed in the $D_s^{+}{\pi }^{-}$ and $D_s^{+}{\pi }^{+}$ invariant mass distributions. In this work, we have investigated the validity of the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$ as the promising process to confirm the existence of $T_{c\bar{s}}(2900{)}^0$ resonance. Taking into account the tetraquark state $T_{c\bar{s}}(2900)$, as well as intermediate resonances $K^{\ast }(892)$, $K_0^{\ast }(1430)$, and $K_2^{\ast }(1430)$, it has been shown that a clear peak of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ appears in the $K^0{D}^0$ invariant mass distribution of the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$, which could be tested by future experiments.