Abstract
The exotic states X_{0,1}(2900) with the quark flavor of csbar{u}bar{d} are recently observed in the mass spectrum of D^+K^- in B^-rightarrow D^-D^+K^- by the LHCb collaboration. To explore the nature of X_{0,1}(2900), except for analyzing their masses and decay widths as usually did in literatures, the study of their production mechanism in B-meson weak decays would provide another important information. The amplitude of B^-rightarrow D^- X_{0,1} is non-factorizable. We consider the final-state-interaction effects and calculate them via the rescattering mechanism. The measured branching fractions of B^-rightarrow D^- X_{0,1} are revealed. It is manifested by {B}^-rightarrow Lambda _c^-Xi _c^{(prime )0} and Lambda _b^0rightarrow P_c^+K^- that the rescattering mechanism can result in the relatively large branching fractions. The similar processes of B^-rightarrow pi ^-X_{0,1} are also analyzed. The isospins of X_{0,1} can be investigated by Brightarrow DX_{0,1}^{pm ,0} decays.
Highlights
The LHCb collaboration reported the discovery of two new exotic structures X0(2900) and X1(2900) in the D+ K − invariant mass distributions of the decay process of B− → D+ D− K − [1,2]
There are some possibilities for the mass regions of the lowest-lying ground states of bsudor csudbelow the B K or D K thresholds [20,21,22,23,24,25,26]
They are produced in the Bmeson weak decays, B− → D− X0,1 [1,2]
Summary
The LHCb collaboration reported the discovery of two new exotic structures X0(2900) and X1(2900) in the D+ K − invariant mass distributions of the decay process of B− → D+ D− K − [1,2]. There are some possibilities for the mass regions of the lowest-lying ground states of bsudor csudbelow the B K or D K thresholds [20,21,22,23,24,25,26]. For the observed X0,1(2900), their masses are much higher than the D K threshold, indicating that X0,1 are not the lowest-lying ground states. They are produced in the Bmeson weak decays, B− → D− X0,1 [1,2]. Unlike the B-meson weak decays into the ordinary quark–antiquark mesons, this diagram is nonfactorizable since the weak-interaction produced scenter into
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