${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective

Abstract

We study the decays ${\bar{B}}^0\to {\bar{K}}^{0}X$, $B^{-}\to K^{-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime })X$, ${\bar{B}}^0\to {\bar{K}}^{\ast 0}X$, $B^{-}\to K^{\ast -}X$ , ${\bar{B}}_s^0\to \varphi X$, with $X\equiv X(3872)$, from the perspective of the $X(3872)$ being a molecular state made from the interaction of the $D^{\ast +}{D}^{-},D^{\ast 0}{\bar{D}}^0$ and $c.c.$ components. We consider both the external and internal emission decay mechanisms and find an explanation for the ${\bar{K}}^{0}X$ and $K^{-}X$ production rates, based on the mass difference of the charged and neutral $D^{\ast }\bar{D}$ components. We also find that the internal and external emission mechanisms add constructively in the ${\bar{B}}^0\to {\bar{K}}^{0}X$, $B^{-}\to K^{-}X$ reactions, while they add destructively in the case of ${\bar{B}}^0\to {\bar{K}}^{\ast 0}X$, $B^{-}\to K^{\ast -}X$ reactions. This feature explains the decay widths of the present measurements and allows us to make predictions for the unmeasured modes of ${\bar{B}}_s^0\to \eta ({\eta }^{\prime })X(3872)$ and $B^{-}\to K^{\ast -}X(3872)$. 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.

15 pages, 5 figures, 2 tables; V2: discussions added, references added, version published in Phys. Rev. D

References in corpus (20)

• An updated review of the new hadron states
• Threshold cusps and triangle singularities in hadronic reactions
• A survey of heavy-heavy hadronic molecules
• Isospin breaking effects in the X(3872) resonance
• Towards a theory of hadron resonances
• Femtoscopic study on $D{D}^{\ast }$ and $D{\bar{D}}^{\ast }$ interactions for $T_{cc}$ and $X(3872)$
• Hidden charm tetraquark states in a diquark model
• From the lineshape of the $X(3872)$ to its structure
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• Revisit the isospin violating decays of $X(3872)$
• Productions of $X(3872)$, $Z_c(3900)$, $X_2(4013)$, and $Z_c(4020)$ in $B_{(s)}$ decays offer strong clues on their molecular nature
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Galilean-Invariant XEFT at Next-to-Leading Order
• The structure of the X(3872) as explained by a Diffusion Monte Carlo calculation
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Identifying Hadronic Molecular States with a Neural Network
• Hadron-hadron potentials coupled to quark degrees of freedom for exotic hadrons

Cited by in corpus (1)

• Production of the $X(3872)$ state via the $B^0\to K^{\ast 0}X(3872)$ decay