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

TL;DR

This paper investigates the production mechanisms of the exotic states $X(4630)$ and $Y(4626)$ in B meson decays, providing theoretical estimates of their branching fractions and suggesting experimental search channels.

Contribution

It offers the first theoretical calculation of branching fractions for $X(4630)$ and $Y(4626)$ production in B decays using an effective Lagrangian approach, proposing new experimental search modes.

Findings

Branching fractions are of the order of 10^{-5}.

Ratios of branching fractions are model-independent.

Suggests searching for $Y(4626)$ in $B^+ o K^+ J/A \u03C6 \u03B5^{(\u2032)}$ 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.