Abstract
We study the three-body baryonic Brightarrow {{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 ') =(5.3pm 1.4,3.3pm 0.7)times 10^{-6} or (4.0pm 0.7,4.6pm 1.1)times 10^{-6}, where the errors arise from the non-factorizable effects as well as the uncertainties in the 0rightarrow {{mathbf{B}}bar{mathbf{B}}'} and Brightarrow {{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_srightarrow Lambda bar{Lambda } eta ,Lambda bar{Lambda } eta ') =(1.2pm 0.3,2.6pm 0.8)times 10^{-6} or (2.1pm 0.6,1.5pm 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.
Highlights
IntroductionThe charmless three-body baryonic B decays (B → BB M) have been abundantly measured [3], and well studied with the factorization [12,13,14,15,17,18,19,20,21,22,23,24], neither theoretical calculation nor experimental measurement for B → BBη( ) has been done yet
In association with the QCD anomaly, the b and c-hadron decays with η( ) as the final states have drawn lots of theoretical and experimental attentions, where the η and η mesons are with η1,8 the mixtures of the being decomposed assinηgnlet=η1(uanud+ocdtedt)η/8√s2taatensd, ηs = ssin the FKS scheme [1,2]
We have studied the three-body baryonic B decays of B− → pη( ) and Bs0 → ̄ η( )
Summary
The charmless three-body baryonic B decays (B → BB M) have been abundantly measured [3], and well studied with the factorization [12,13,14,15,17,18,19,20,21,22,23,24], neither theoretical calculation nor experimental measurement for B → BBη( ) has been done yet. We will study the three-body baryonic B decays with one of the final states to be the η or η meson state, where the possible interference effects from the b → snn → sηn and b → sss → sηs transitions can be investigated
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