Abstract
In the framework of the independent-particle model, we study the scattering function for one particle in the continuum and for n − 1 particles in bound states. An effective single-particle potential is constructed in such a way that the resulting effective single-particle wave function provides the same scattering matrix. The Pauli principle generates a non-local effective potential which behaves like r −2 at the origin. Possible physical consequences are discussed.
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