Study of $$B^-\rightarrow \Lambda \bar{p}\eta ^{(')}$$ B-→Λp¯η(′) and $$\bar{B}^0_s\rightarrow \Lambda \bar{\Lambda }\eta ^{(')}$$ B¯s0→ΛΛ¯η(′) decays

Abstract

Abstract We study the three-body baryonic $$B\rightarrow {{\mathbf{B}}\bar{\mathbf{B}}'}M$$ B→BB¯′M decays with M representing the $$\eta $$ η or $$\eta '$$ η′ meson. Particularly, we predict that $$\mathcal{B}(B^-\rightarrow \Lambda \bar{p}\eta ,\Lambda \bar{p}\eta ') =(5.3\pm 1.4,3.3\pm 0.7)\times 10^{-6}$$ B(B-→Λp¯η,Λp¯η′)=(5.3±1.4,3.3±0.7)×10-6 or $$(4.0\pm 0.7,4.6\pm 1.1)\times 10^{-6}$$ (4.0±0.7,4.6±1.1)×10-6 , where the errors arise from the non-factorizable effects as well as the uncertainties in the $$0\rightarrow {{\mathbf{B}}\bar{\mathbf{B}}'}$$ 0→BB¯′ and $$B\rightarrow {{\mathbf{B}}\bar{\mathbf{B}}'}$$ B→BB¯′ 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 $$\bar{B}_s^0$$ B¯s0 decays, we find that $$\mathcal{B}(\bar{B}^0_s\rightarrow \Lambda \bar{\Lambda } \eta ,\Lambda \bar{\Lambda } \eta ') =(1.2\pm 0.3,2.6\pm 0.8)\times 10^{-6}$$ B(B¯s0→ΛΛ¯η,ΛΛ¯η′)=(1.2±0.3,2.6±0.8)×10-6 or $$(2.1\pm 0.6,1.5\pm 0.4)\times 10^{-6}$$ (2.1±0.6,1.5±0.4)×10-6 with the errors similar to those above. The decays in question are accessible to the experiments at BELLE and LHCb.