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We investigate the process $B\to \bar{D}D_s \pi$ via several rescatteringprocesses. It is shown that the triangle singularity (TS) peak around the$D^*K^*$ threshold generated from the $\chi_{c1}K^* D^*$ loop is relativelynarrow, which may simulate the resonance-like structure $T_{c\bar{s}}(2900)$recently observed by LHCb in the $D_s\pi$ spectrum. However, the TS peak aroundthe $D_s^*\rho$ threshold generated from the $D^{**} D_s^* \rho$ loop issmoothed by the broad width of $\rho$, which itself can hardly describe the$T_{c\bar{s}}(2900)$ structure. A TS signal around the $DK$ threshold generatedfrom the $\chi_{c0}K D $ loop is also predicted.

Possibility of $T_{c\bar{s}}(2900)$ as the resonance-like structure induced by threshold effects