Implications of Isospin Conservation in $Λ_b$ Decays and Lifetime

Details Implications of Isospin Conservation in $Λ_b$ Decays and Lifetime Implications of Isospin Conservation in $Λ_b$ Decays and Lifetime

1998-09-07

arxiv.org/abs/hep-ph/9809294v3

Phys.Lett. B450 (1999) 250-256

Physics

High Energy Physics

High Energy Physics - Phenomenology

Changes in abstract and introduction. To appear in Phys.Lett. B. Latex 12 pages, no figures

Scientific paper

10.1016/S0370-2693(99)00139-2

We consider isospin predictions for the semi-leptonic and non-leptonic decays of the $\Lambda_b$ baryon. Isospin conservation of the strong interactions constrains the possible final states in $\Lambda_b$ decays. Since the baryon hyperfine splittings depend upon light quark dynamics and do not decrease with increasing heavy quark mass, this leads in general to to phase space enhancements in $\Lambda_b$ decays relative to $B$ meson decays for the same underlying quark transitions. Consequently the $\Lambda_b$ lifetime is smaller than the $B$ lifetime. Phase space enhancements in $\Lambda_b$ decays relative to $B$ decays can be understood in terms of hyperfine interactions in the heavy quark system.

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