$X(4630)$ and $Y(4626)$ production in the $B^+$ and $B_s^0$ decays

Abstract

In the present work, we investigate the production of $X(4630)$ and $Y(4626)$ in $B^+$ and $B_s^0$ decays, where $X(4630)$ and $Y(4626)$ are considered as the $C-$ parity pigeon pair in the $D_{s}^{\ast+} D_{s1}(2536)^-$ molecular frame. The branching fractions of $B^+ \to K^+ X(4630)/Y(4626)$ and $B_s^0 \to \eta X(4630)/Y(4626)$ have been evaluated using an effective Lagrangian approach, which are of the order of $10^{-5}$ and the ratios of these branching fractions are almost independent on the model parameter. Based on the present estimations, we propose to search $Y(4626)$ in the process $B^+ \to K^+ J/\psi \eta^{(\prime)}$, which should be accessible by the LHCb and Belle II Collaborations.