Factorization and angular distribution asymmetries in charmful baryonic B decays

Abstract

We examine the validity of the generalized factorization method and calculate the angular correlations in the charmful three-body baryonic decays of ${\bar{B}}^0\to \Lambda \bar{p}{D}^{(\ast )+}$. With the timelike baryonic form factors newly extracted from the measured baryonic $B$ decays, we obtain $\mathcal{B}({\bar{B}}^0\to \Lambda \bar{p}{D}^{+},\Lambda \bar{p}{D}^{\ast +})=(1.85\pm 0.30,2.75\pm 0.24)\times 10^{-5}$ to agree with the recent data from the BELLE Collaboration, which demonstrates that the theoretical approach based on the factorization still works well. For the angular distribution asymmetries, we find ${\mathcal{A}}_{\theta }({\bar{B}}^0\to \Lambda \bar{p}{D}^{+},\Lambda \bar{p}{D}^{\ast +})=(-0.030\pm 0.002,+0.150\pm 0.000)$, which are consistent with the current measurements. Moreover, we predict that ${\mathcal{A}}_{\theta }({\bar{B}}^0\to p\bar{p}{D}^0,p\bar{p}{D}^{\ast 0})=+0.04\pm 0.01$. Future precise explorations of these angular correlations at BELLE and LHCb as well as super-BELLE are important to justify the present factorization approach in the charmful three-body baryonic decays.

Comments: 10 pages, 1 figure, revised version accepted for publication in PRD