Abstract
We predict the rates of the charmless three-body $B^0\to \rho^-p\bar{n}$ and $\pi^-p\bar{n}$ modes due to weak vector current contributions to be $\sim 4\times 10^{-6}$ and $2\times 10^{-6}$, respectively. The basis is a factorization approach of current produced nucleon pairs, together with an isospin transformation that relates nucleon weak vector form factors to electromagnetic form factors. Adding the axial vector current contribution, we find $B^0\to \rho^-p\bar{n}$ and $B^+\to \rho^0p\bar{n}$ to be at $10^{-5}$ order. The three-body modes appear to dominate over the two-body modes such as $B\to p\bar{p}$, $p\bar \Lambda$.
Highlights
A large number of charmless mesonic decays of the B mesons have emerged since 1997, and are of great current interest
A natural question to ask [2] is: what about charmless baryonic decays? The CLEO Collaboration has done some search in the past, but turning up null results for modes like B0 → ppthat are below the 10−5 level [3]
Data, we show that B0 → ρ−pncould be a leading charmless baryonic decay with rate at the 10−5 level
Summary
A large number of charmless mesonic decays of the B mesons have emerged since 1997, and are of great current interest. Data, we show that B0 → ρ−pncould be a leading charmless baryonic decay with rate at the 10−5 level. The matrix element pn|Vμ − Aμ|0 describes nucleon pair creation by a charged weak current.
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