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

TL;DR

This paper analyzes the decay process of a neutral B meson into a Lambda_c baryon, antiproton, and neutral pion using the factorization approach, calculating the branching ratio and comparing it with experimental data.

Contribution

It provides a detailed calculation of the decay branching ratio for $ar{B}^{0} ightarrow ext{Lambda}_c^+ ar{p} \pi^0$ considering both factorizable and non-factorizable contributions, aligning theoretical predictions with experimental results.

Findings

Calculated branching ratio of $(1.50 extpm0.21) imes10^{-4}$ for $a_2=0.17$

Theoretical result agrees with BABAR experimental measurement

Identified the dominant role of factorizable diagrams in the decay process

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