The production and decay of $X_0(2900)$ state with different interpretation

The observation of $X_0(2900)$ in $B^+\rightarrow D^+D^-K^+$ decay process indicates the existence of open flavor tetraquark states. We study the production and decay of $X_0(2900)$ state with final state interaction mechanism, where we calculate the strong vertices such as $g_{\bar{D}KX_0}$, $g_{\bar{D}^\ast K^\ast X_0}$, $g_{D_s^{\ast}\bar{D}K}$ and $g_{D_{s1}\bar{D} K^\ast}$ in the framework of QCD sum rules method. We find that for the interpretation of the $\bar{D}^\ast K^\ast$ molecule of $X_0(2900)$, the branching fraction of the production process and the decay width are consistent with the experimental results, indicating that the observed $X_0(2900)$ could be interpreted as the $\bar{D}^\ast K^\ast$ molecule. However, we cannot exclude the possibility of a compact tetraquark interpretation within the uncertainty. Further experimental and theoretical efforts should be made to fully understand the nature of the $X_0(2900)$ state.