\begin{document}$X_{0}(2900)$\end{document} and \begin{document}$X_1(2900)$\end{document} states at LHCb, the \begin{document}$K^*\bar{D}^*$\end{document} and \begin{document}$K\bar{D}_1$\end{document} interactions are studied in the quasipotential Bethe-Salpeter equation approach combined with the one-boson-exchange model. The bound and virtual states from the interactions are searched for as poles in the complex energy plane of scattering amplitude. A bound state with \begin{document}$I(J^P)=0(0^+)$\end{document} and a virtual state with \begin{document}$0(1^-)$\end{document} are produced from the \begin{document}$K^*\bar{D}^*$\end{document} interaction and \begin{document}$K\bar{D}_1$\end{document} interaction, and can be related to the \begin{document}$X_{0}(2900)$\end{document} and \begin{document}$X_1(2900)$\end{document} observed at LHCb, respectively. A bound state with \begin{document}$I(J^P)=0(1^+)$\end{document} and a virtual state with \begin{document}$I(J^P)=0(2^+)$\end{document} are also predicted from the \begin{document}$K^*\bar{D}^*$\end{document} interaction, with the same \begin{document}$\alpha$\end{document} value, to reproduce the \begin{document}$X_{0,1}(2900)$\end{document}, which can be searched for in future experiments."> Molecular picture for <i>X</i><sub>0</sub>(2900) and <i>X</i><sub>1</sub>(2900) -
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