Study of B→ΛΛ¯K and B→ΛΛ¯π

We study three-body charmless baryonic B decays of B→ΛΛ¯P with P=π 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 π modes unlike the cases of B→pp¯P. Explicitly, we obtain that Br(B−→ΛΛ¯K−)=(2.8±0.2)×10−6 and Br(B¯0→ΛΛ¯K¯0)=(2.5±0.3)×10−6. The former agrees well with the Belle experimental measurement of (2.91−0.70+0.90±0.38)×10−6, while the latter should be seen at the ongoing B factories soon.