B ¯ 0 → K ¯ ( ) 0 X , B − → K ( ) − X , B ¯ s 0 → η ( η ′ , ϕ ) X from the X ( 3872 ) molecular perspective

We study the decays B ¯ 0 → K ¯ 0 X , B − → K − X , B ¯ s 0 → η ( η ′ ) X , B ¯ 0 → K ¯ * 0 X , B − → K * − X , B ¯ s 0 → ϕ 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 D ¯ 0 , and c . c . components. We consider both the external and internal emission decay mechanisms and find an explanation for the K ¯ 0 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 B ¯ 0 → K ¯ 0 X , B − → K − X reactions, while they add destructively in the case of B ¯ 0 → 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 B ¯ s 0 → η ( η ′ ) 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.