Investigation of phase-equivalent potentials by a halo transfer reaction

Using the supersymmetric quantum mechanics, we investigate the wave functio n-sensitive properties of the supersymmetric potentials which have received a lot of attention in the literature recently. We show that a superdeep po tential and its phase-equivalent shallow-partner potential give very simila r rms radius values for the weakly bound systems such as the deuteron and B e-11 nuclei. Although the cor responding eigenstates differ in the node-num ber, our investigation on the Be-11(p,d)Be-10 single nucleon halo transfer reaction at 35 MeV show that also other physical quantities such as the cro ss-section angular distributions calculated using these wave functions refl ect the nodal structure rather weakly. This lends support to two nearly equ ivalent treatments of the Pauli principle.