Non Standard $η-η^{\prime}$ mixing and the Nonleptonic B and $Λ_b$ Decays to $η$ and $η^{\prime}$

Details Non Standard $η-η^{\prime}$ mixing and the Nonleptonic B and $Λ_b$ Decays to $η$ and $η^{\prime}$ Non Standard $η-η^{\prime}$ mixing and the Nonleptonic B and $Λ_b$ Decays to $η$ and $η^{\prime}$

2002-06-18

arxiv.org/abs/hep-ph/0206155v2

Phys.Lett. B544 (2002) 145-153

Physics

High Energy Physics

High Energy Physics - Phenomenology

Typos corrected, Minor addition of text, Latex, 16 pages, one fig

Scientific paper

10.1016/S0370-2693(02)02447-4

Radial mixing in the pseudoscalar $\eta-\eta^{\prime}$ systems can be generated from hyperfine interactions and annihilation terms. For the $\eta-\eta^{\prime}$ system we find the effects of radial mixing are appreciable and seriously affect the decay branching ratios for $B \to \eta(\eta^{\prime})K(K^*)$, mainly by modifying the $B \to \eta(\eta^{\prime})$ form factors. In particular, the effect of radial mixing in conjunction with the interference effects among penguin amplitudes can resolve puzzles in the $B \to \eta(\eta^{\prime}) K$ decays. The decay $\Lambda_b \to \Lambda \eta(\eta^{\prime})$ 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 $\Lambda_b \to \eta(\eta^{\prime})$ 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 $\Lambda_b \to \Lambda \eta^{\prime}$ relative to $\Lambda_b \to \Lambda \eta$.

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