B¯0→K¯<mml:mo …

We study the decays B⁰ K⁰ \, X, B^- K^- \, X, B⁰ₛ (') \, X, B⁰ K^*0 \, X, B^- K^*- \, X, Bₛ⁰ \, X, with X X (3872), from the perspective of the X (3872) being a molecular state made from the interaction of the D^*+ D^-, D^*0 D⁰ and c. c. components. We consider both the external and internal emission decay mechanisms and find an explanation for the K⁰ \, X and K^- \, X production rates, based on the mass difference of the charged and neutral D^* D components. We also find that the internal and external emission mechanisms add constructively in the B⁰ K⁰ \, X, B^- K^- \, X reactions, while they add destructively in the case of B⁰ K^*0 \, X, B^- K^*- \, X reactions. This feature explains the decay widths of the present measurements and allows us to make predictions for the unmeasured modes of B⁰ₛ (') \, X (3872) and B^- K^*- \, X (3872). The future measurement of these decay modes will help us get a better perspective on the nature of the X (3872) and the mechanisms present in production reactions of that state.