Study of $B\to \Lambda \bar{\Lambda }K$ and $B\to \Lambda \bar{\Lambda }\pi$

Abstract

We study three-body charmless baryonic B decays of $B\to \Lambda \bar{\Lambda }P$ with $P=\pi$ and $K$ in the standard model. We find that the branching ratios of the $K$ modes are about one order of magnitude larger than those of the corresponding $\pi$ modes unlike the cases of $B\to p\bar{p}P$. Explicitly, we obtain that $Br(B^{-}\to \Lambda \bar{\Lambda }{K}^{-})=(2.8\pm 0.2)\times 10^{-6}$ and $Br({\bar{B}}^0\to \Lambda \bar{\Lambda }{\bar{K}}^0)=(2.5\pm 0.3)\times 10^{-6}$. The former agrees well with the BELLE experimental measurement of $(2.91_{-0.70}^{+0.90}\pm 0.38)\times 10^{-6}$, while the latter should be seen at the ongoing B factories soon.

Comments: 11 pages, 2 figures, 2 tables, version to appear in Phys. Lett. B