PHASE EQUIVALENT POTENTIALS FOR ONE-NEUTRON HALO SYSTEMS

By means of supersymmetric quantum mechanics we show that the two-para meter superdeep potential alpha . sech(2)(beta r) and its supersymmetr ic partner give very similar ms values for a core + particle model hal o nucleus imitating Be-11. Although the corresponding eigenstates diff er in the node-number, our investigations show that also other physica l quantities calculated using these wave functions reflect the nodal s tructure rather weakly. This lends support to two nearly equivalent tr eatments of the Pauli principle.