We calculate the branching ratios of the hadronic Lambda(b) decays to eta and eta' in the factorization approximation where the form factors are estimated via QCD sum rules and the pole model. Our results indicate that, contrary to B --> Keta(()'()) decays, the branching ratios for Lambda(b) --> Lambda(eta) and Lambda(b) --> Lambdaeta' are more or less the same in the hadronic Lambda(b) transitions. We find that the anomaly contribution is crucial in Lambda(b) --> Lambdaeta(()'()) decays. We obtain the branching ratio of Lambda(b) --> Lambdaeta(()'()) to be 11.47(11.33) x 10(-6) in QCD sum rules, and 2.95(3.24) x 10(-6) in the pole model. We also consider the contribution of the charm content in the eta' production in Lambda(b) --> Lambda transition. (C) 2004 Elsevier B.V. All rights reserved.
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