Study of $B^{-}\to \hat{I}›\bar{p}\hat{I}{\cdot }^{{(}^{\prime })}$ and ${\bar{B}}_s^0\to \hat{I}›\bar{\hat{I}}›\hat{I}{\cdot }^{{(}^{\prime })}$ decays

Abstract

We study the three-body baryonic $B\to \mathbf{B}{\bar{\mathbf{B}}}^{\prime }M$ decays with $M$ representing the $\hat{I}\cdot$ or $\hat{I}{\cdot }^{\prime }$ meson. Particularly, we predict that $\mathcal{B}(B^{-}\to \hat{I}›\bar{p}\hat{I}\cdot ,\hat{I}›\bar{p}\hat{I}{\cdot }^{\prime })=(5.3\pm 1.4,3.3\pm 0.7)\times 10^{-6}$ or $(4.0\pm 0.7,4.6\pm 1.1)\times 10^{-6}$, where the errors arise from the non-factorizable effects as well as the uncertainties in the $0\to \mathbf{B}{\bar{\mathbf{B}}}^{\prime }$ and $B\to \mathbf{B}{\bar{\mathbf{B}}}^{\prime }$ transition form factors, while the two different results are due to overall relative signs between the form factors, causing the constructive and destructive interference effects. For the corresponding baryonic ${\bar{B}}_s^0$ decays, we find that $\mathcal{B}({\bar{B}}_s^0\to \hat{I}›\bar{\hat{I}}›\hat{I}\cdot ,\hat{I}›\bar{\hat{I}}›\hat{I}{\cdot }^{\prime })=(1.2\pm 0.3,2.6\pm 0.8)\times 10^{-6}$ or $(2.1\pm 0.6,1.5\pm 0.4)\times 10^{-6}$ with the errors similar to those above. The decays in question are accessible to the experiments at BELLE and LHCb.

15 pages, 5 figures, revised version accepted by EPJC