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We study the three-body baryonic $B\to {\bf B\bar B'}M$ decays with $M$representing the $\eta$ or $\eta'$ meson. Particularly, we predict that ${\calB}(B^-\to\Lambda\bar p\eta,\Lambda\bar p\eta')=(5.3\pm 1.4,3.3\pm 0.7)\times10^{-6}$ or $(4.0\pm 0.7,4.6\pm 1.1)\times 10^{-6}$, where the errors arisefrom the non-factorizable effects as well as the uncertainties in the $0\to{\bf B\bar B'}$ and $B\to{\bf B\bar B'}$ transition form factors, while the twodifferent results are due to overall relative signs between the form factors,causing the constructive and destructive interference effects. For thecorresponding baryonic $\bar B_s^0$ decays, we find that ${\cal B}(\barB^0_s\to \Lambda\bar \Lambda \eta,\Lambda\bar \Lambda \eta')=(1.2\pm 0.3,2.6\pm0.8)\times 10^{-6}$ or $(2.1\pm 0.6,1.5\pm 0.4)\times 10^{-6}$ with the errorssimilar to those above. The decays in question are accessible to theexperiments at BELLE and LHCb.

Study of $B^-\to \Lambda\bar p\eta^{(')}$ and $\bar B^0_s\to \Lambda\bar\Lambda\eta^{(')}$ decays