Heavy Mesons to Open-Charmed Tetraquark Decays

Motivated by the recent observations of $T_{cs0}^{\ast }(2870{)}^0$, $T_{c\bar{s}0}^{\ast }(2900{)}^0$ and $T_{c\bar{s}0}^{\ast }(2900{)}^{++}$ open-charmed tetraquark states by LHCb, we study the decays of heavy mesons to these open-charmed tetraquark states ($T$) using a topological amplitude approach. We first obtain the $T\to DP$ and $DS$ strong decay amplitudes by decomposing them into several topological amplitudes, where $P$ is a light pseudo-scalar particle and $S$ is a low-lying scalar particle. Subsequently, weak decay amplitudes of $\bar{B}\to D\bar{T}$, $\bar{D}T$ and $\bar{B}\to TP$, $TS$ decays are decomposed topologically. In addition, $B_c^{-}\to T\bar{T}$ decays are also discussed. Using these results, modes with an unambiguous exotic interpretation in flavor are highlighted.