The roles of the T_cs̅0(2900)^0 and D_0^*(2300) in the process B^-→ D_s^+K^-π^-

Motivated by the recent LHCb observations of T_cs̅0(2900)^0 and T_cs̅0(2900)^++ in the processes B^0→D̅^0D_s^+π^- and B^+→ D^-D_s^+π^+, we have investigated the decay B^-→ D_s^+K^-π^- by taking into account the contributions from the S-wave vector-vector interactions, and the S-wave D^+_s K^- interactions. Our results show that the D_s^+K^- invariant mass distribution has an enhancement structure near the threshold, associated with the D^*_0(2300), which is in good agreement with the Belle measurements. We have also predicted the D^+_sπ^- invariant mass distribution and the Dalitz plot, which show the significant signal of the T_cs̅0(2900). With the same formalism, the D^-_sK^0_s invariant mass distribution of the process B^0 → D^-_sK^0_sπ^+ measured by Belle could be well reproduced, and the peak of T_cs̅0(2900) is expected to be observed around 2900 MeV in the D^-_sπ^+ invariant mass distribution. Our results could be tested by the Belle II and LHCb experiments in the future.