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.