Three-Body Baryonic $ \bar{B}^{0}\rightarrow\Lambda^+_c \bar{p} \pi^0$ Decay

Abstract

We study the three-body baryonic decay $ \bar{B}^{0}\rightarrow\Lambda^+_c \bar{p} \pi^0$ based on the factorization approach. The most important Feynman diagrams for this decay mode are factorizable and non-factorizable contributions, so that the former plays the key role in the decay amplitude and the latter affects the amplitude coefficient $a_2$. We calculate the decay branching ratio for some values of $a_2$ in the range of $0.16-0.40$ and we find that the value of $a_2=0.17$ leads us to the result of $(1.50\pm0.21)\times10^{-4}$ which evidently agrees with the experimental result $(1.55\pm0.17\pm0.08)\times 10^{-4}$ reported by BABAR