Abstract
We make predictions for the production and decays of $X(2900)$ states, and their possible charged partners, in $B^+$ and $B^0$ decays, considering a number of competing models for the states, including triangle diagrams mediated by quark exchange or pion exchange, and resonance scenarios including molecules and tetraquarks. Assuming only isospin symmetry and the dominance of colour-favoured weak decays, we find characteristic differences in the predictions of the different models. Future experimental studies can therefore discriminate among the competing interpretations for the states.
Highlights
The LHCb collaboration has recently reported a very prominent structure in the D−Kþ spectrum in Bþ → DþD−Kþ decays [1,2]
We will assume that the production of the Xð2900Þ states and their possible partners is driven by the color-favored topology, such that the flavor composition of the intermediate three-body state DD K state is given by Eqs. (9) and (10) for Bþ and B0 decays, respectively
For D ÃKÃ → D K the amplitude is presumably dominated by one-pion exchange (OPE). (There is no pion-exchange diagram for D 1K → D K.)
Summary
The LHCb collaboration has recently reported a very prominent structure in the D−Kþ spectrum in Bþ → DþD−Kþ decays [1,2]. For example, that as well as the discovery mode Bþ → DþX; X → D−Kþ, the Xð2900Þ states may be seen in Bþ → DþX; X → D 0K0 Experimental observation of the latter mode could discriminate among models, since its branching fraction compared to the discovery mode differs according to the nature of the states. III and IV we derive relations among the matrix elements for B → D X; X → D K transitions, firstly identifying general results, and specializing to other results which apply separately to the different models
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