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Inspired by the newly observed $X_{0}(2900)$ and $X_1(2900)$ at LHCb, the$K^*\bar{D}^*$ and $K\bar{D}_1$ interactions are studied in the quasipotentialBethe-Salpeter equation approach combined with the one-boson-exchange model.The bound and virtual states from the interactions are searched for as thepoles in the complex energy plane of scattering amplitude. A bound state with$I(J^P)=0(0^+)$ and a virtual state with $0(1^-)$ are produced from the$K^*\bar{D}^*$ interaction and $K\bar{D}_1$ interaction, and can be related tothe $X_{0}(2900)$ and $X_1(2900)$ observed at LHCb, respectively. A bound statewith $I(J^P)=0(1^+)$ and a virtual state with $I(J^P)=0(2^+)$ are alsopredicted from the $K^*\bar{D}^*$ interaction with a small $\alpha$ value,which can be searched in future experiments.

Molecular picture for $X_{0}(2900)$ and $X_1(2900)$