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 $\bar B^0\to \Lambda \bar p D^{(*)+}$. With the timelike baryonic form factors newly extracted from the measured baryonic $B$ decays, we obtain ${\cal B}(\bar B^0\to \Lambda \bar p D^+,\Lambda \bar p D^{*+})=(1.85\pm 0.30,2.75\pm 0.24)\times 10^{-5}$ 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 ${\cal A}_{\theta}(\bar B^0\to \Lambda \bar p D^+,\Lambda\bar p D^{*+})=(-0.030\pm 0.002\,,+0.150\pm 0.000)$, which are consistent with the current measurements. Moreover, we predict that ${\cal A}_\theta(\bar B^0\to p\bar p D^{0},p\bar p D^{*0})=+0.04\pm 0.01$. 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.