Abstract

Towards applications to multi-cluster systems involving heavy clusters, we study properties of a shallow-singular potential generated by supersymmetric transformations from an original deep potential. Changes of the relative wave functions by the transformations are quantified with electric-multipole transitions which give a different radial sensitivity to the wave function depending on their multipolarity. Despite the fact that the original and transformed potentials give exactly the same phase shift, some observables are unfavorably modified. We propose another possible way to obtain a desired supersymmetric potential.

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