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 for the decays with a $\Delta$ resonance in the final state. For example, the branching ratio of the tree-dominated decay $B^-\to p \bar\Delta^{--}$ can be as large as $6\times 10^{-6}$, and the penguin-dominated decay $B^-\to\Sigma^+\bar\Delta^{--}$ is at the level of $1\times 10^{-6}$. 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 $\ov B^0\to p\bar n\pi^-$ and $8\times 10^{-6}$ for $\bar B^0\to p\bar n\rho^-$. The first measurement of the penguin-dominated decay $B^-\to p\bar p K^-$ by Belle indicates that the $q^2$ dependence of heavy-to-light baryon form factors is favored to be of the monopole form. The penguin-dominated decays $B^-\to p\bar p K^{-(*)}$ and $\bar B^0\to p\bar n K^{-(*)}, n\bar n \bar K^{0(*)}$ all have appreciable rates. In contrast, the branching ratios of $\bar B^0\to\Lambda\bar p\pi^+(\rho^+)$ are at most on the verge of $10^{-6}$. 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.
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