Implications of Isospin Conservation in $Λ_b$ Decays and Lifetime
Abstract
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. This leads in general 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 bottom system.
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