Study of \[B^-\rightarrow \Lambda \bar{p}\eta ^{(')}\] and \[\bar{B}^0_s\rightarrow \Lambda \bar{\Lambda }\eta ^{(')}\] decays

Abstract

We study the three-body baryonic \[B\rightarrow {{\mathbf{B}}\bar{\mathbf{B}}'}M\] decays with M representing the \[\eta \] or \[\eta '\] meson. Particularly, we predict that \[\mathcal{B}(B^-\rightarrow \Lambda \bar{p}\eta ,\Lambda \bar{p}\eta ') =(5.3\pm 1.4,3.3\pm 0.7)\times 10^{-6}\] 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 \[0\rightarrow {{\mathbf{B}}\bar{\mathbf{B}}'}\] and \[B\rightarrow {{\mathbf{B}}\bar{\mathbf{B}}'}\] 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 \[\mathcal{B}(\bar{B}^0_s\rightarrow \Lambda \bar{\Lambda } \eta ,\Lambda \bar{\Lambda } \eta ') =(1.2\pm 0.3,2.6\pm 0.8)\times 10^{-6}\] 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.