Three-body calculations of A=9 nuclei with supersymmetric α-α potentials

The three-body α-α-N system is considered as a model for the 9Be and 9B nuclei. Two alternative models for the α-α interaction, which are approximate supersymmetric partners of each other, are tested. One model is a shallow α-α potential with l-dependent repulsive core, while the other one is a deep attractive potential with Pauli-forbidden states. All static observables have been calculated for the 9Be ground state together with its spectrum, elastic and inelastic (to the state) longitudinal electromagnetic form factors and the Coulomb displacement for the 9B ground state. The shallow repulsive-core α-α potential turns out to provide an almost quantitative description of all these observables. (author)