Charmless Exclusive Baryonic B Decays

Abstract

We present a systematical study of two-body and three-body charmless baryonic B decays. Branching ratios for two-body modes are in general very small, typically less than $10^{-6}$, except that $\B(B^-\to p \barΔ^{--})\sim 1\times 10^{-6}$. In general, $\bar{B}\to N\bar{\Delta }>\bar{B}\to N\bar{N}$ due to the large coupling constant for ${\Sigma }_b\to B\Delta$. For three-body modes we focus on octet baryon final states. The leading three-dominated modes are ${\bar{B}}^0\to p\bar{n}{\pi }^{-}({\rho }^{-}),n\bar{p}{\pi }^{+}({\rho }^{+})$ with a branching ratio of order $3\times 10^{-6}$ for ${\bar{B}}^0\to p\bar{n}{\pi }^{-}$ and $8\times 10^{-6}$ for ${\bar{B}}^0\to p\bar{n}{\rho }^{-}$. The penguin-dominated decays with strangeness in the meson, e.g., $B^{-}\to p\bar{p}{K}^{-(\ast )}$ and ${\bar{B}}^0\to p\bar{n}{K}^{-(\ast )},n\bar{n}{\bar{K}}^{0(\ast )}$, have appreciable rates and the $N\bar{N}$ mass spectrum peaks at low mass. The penguin-dominated modes containing a strange baryon, e.g., ${\bar{B}}^0\to {\Sigma }^0\bar{p}{\pi }^{+},{\Sigma }^{-}\bar{n}{\pi }^{+}$, have branching ratios of order $(1\sim 4)\times 10^{-6}$. In contrast, the decay rate of ${\bar{B}}^0\to \Lambda \bar{p}{\pi }^{+}$ is smaller. We explain why some of charmless three-body final states in which baryon-antibaryon pair production is accompanied by a meson have a larger rate than their two-body counterparts: either the pole diagrams for the former have an anti-triplet bottom baryon intermediate state, which has a large coupling to the $B$ meson and the nucleon, or they are dominated by the factorizable external $W$-emission process.

46 pages and 3 figures, to appear in Phys. Rev. D. Major changes are: (i) Calculations of two-body baryonic B decays involving a Delta resonance are modified, and (ii) Penguin-dominated modes B-> Sigma+N(bar)+p are discussed

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