Non Standard η-η′ mixing and the Nonleptonic B and Λb Decays to η and η′

الأصل · EN

Radial mixing in the pseudoscalar η-η′ systems can be generated from hyperfine interactions and annihilation terms. For the η-η′ system we find the effects of radial mixing are appreciable and seriously affect the decay branching ratios for B → η(η′)K(K*), mainly by modifying the B → η(η′) form factors. In particular, the effect of radial mixing in conjunction with the interference effects among penguin amplitudes can resolve puzzles in the B → η(η′) K decays. The decay Λb → Λη(η′) on the other hand is dominated by a single amplitude so that the significant interference effects of B decays are absent here. Moreover, since no Λb → η(η′) form factors are involved here, the effect of radial mixing is essentially negligible. Hence, unlike the B system, we do not predict a large enhancement of Λb → Λη′ relative to Λb → Λη.