Phase equivalent potentials for one-neutron halo systems

Abstract

By means of supersymmetric quantum mechanics we show that the two-parameter superdeep potential α · sech 2( βr) and its supersymmetric partner give very similar rms values for a core + particle model halo nucleus imitating 11Be. Although the corresponding eigenstates differ in the node-number, our investigations show that also other physical quantities calculated using these wave functions reflect the nodal structure rather weakly. This lends support to two nearly equivalent treatments of the Pauli principle.