  We carry out Faddeev calculations of three-alpha (3 alpha) and two-alpha plus
Lambda (alpha alpha Lambda) systems, using two-cluster resonating-group method
kernels. The input includes an effective two-nucleon force for the alpha alpha
resonating-group method and a new effective Lambda N force for the Lambda alpha
interaction. The latter force is a simple two-range Gaussian potential for each
spin-singlet and triplet state, generated from the phase-shift behavior of the
quark-model hyperon-nucleon interaction, fss2, by using an inversion method
based on supersymmetric quantum mechanics. Owing to the exact treatment of the
Pauli-forbidden states between the clusters, the present three-cluster Faddeev
formalism can describe the mutually related, alpha alpha, 3 alpha and alpha
alpha Lambda systems, in terms of a unique set of the baryon-baryon
interactions. For the three-range Minnesota force which describes the alpha
alpha phase shifts quite accurately, the ground-state and excitation energies
of 9Be Lambda are reproduced within 100 - 200 keV accuracy.
