Nonstandard eta-eta ' mixing and the nonleptonic B and Lambda(b) decays to eta and eta '

摘要

Radial mixing in the pseudoscalar eta-eta' systems can be generated from hyperfine interactions and annihilation terms. For the eta-eta' system we find the effects of radial mixing are appreciable and seriously affect the decay branching ratios for B --> eta (eta')K(K*), mainly by modifying the B --> eta(eta) form factors. In particular, the effect of radial mixing in conjunction with the interference effects among penguin amplitudes can resolve puzzles in the B --> eta(eta') K decays. The decay A(b) --> A(eta)(eta') 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 A(b) --> eta(eta') 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 A(b) --> Aeta' relative to A(b) --> Aeta. (C) 2002 Elsevier Science B.V. All rights reserved. References: 32