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.

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

References in corpus (3)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Final State Interactions in Hadronic B Decays
• Observation of B+ to Lambda Lambdabar K+

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• Charmful Three-body Baryonic B decays
• Direct CP violation in $B^{\pm }\to p\bar{p}{K}^{(\ast )\pm }$
• Charmless Hadronic B-Meson Decays
• Angular distributions in three-body baryonic B decays
• Exclusive Baryonic B Decays Circa 2005
• Violation of PCAC and two-body baryonic $B$ and $D_s$ decays
• Observation of B0 to Lambda Lambdabar K0 and B0 to Lambda Lambdabar K*0 at Belle
• Study of $B\to p\bar{p}{K}^{\ast }$ and $B\to p\bar{p}\rho$
• Identifying Glueball at 3.02 GeV in Baryonic $B$ Decays
• Direct CP and T Violation in Baryonic B Decays
• Determination of Nucleon Form factors from Baryonic B Decays
• Baryonic $B$ meson decays
• T Violation in Baryonic B Decays
• Possibly New Charmed Baryon States from ${\bar{B}}^0\to p\bar{p}{D}^0$ Decay
• Study of $\bar{B}\to \Lambda \bar{p}\rho (\varphi )$ and $\bar{B}\to \Lambda \bar{\Lambda }{\bar{K}}^{\ast }$
• $f_J(2220)$ and Hadronic ${\bar{B}}_s^0$ Decays
• Semileptonic $B-\to p\bar{p}\ell -{\bar{\nu }}_{\ell }$ decays
• Study of $B^{-}\to \Lambda \bar{p}{\eta }^{{(}^{\prime })}$ and ${\bar{B}}_s^0\to \Lambda \bar{\Lambda }{\eta }^{{(}^{\prime })}$ decays
• Four-body baryonic $B\to {\mathbf{B}}_1{\bar{\mathbf{B}}}_1^{\prime }{\mathbf{B}}_2{\bar{\mathbf{B}}}_2^{\prime }$ decays
• Charmful two-body ${\Omega }_b$ decays in the light-front quark model
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay