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The bare nucleon-nucleon interaction is essential for the production of paircorrelations in nuclei, but an important contribution also arises from theinduced interaction resulting from the exchange of collective vibrationsbetween nucleons moving in time reversal states close to the Fermi energy. Thepairing field resulting from the summed interaction is strongly peaked at thenuclear surface. It is possible to reproduce the detailed spatial dependence ofthis field using a Local Density Approximation (LDA) and a contact interaction,with parameters which are quite different from those commonly used in morephenomenological approaches.

Microscopic calculation and LDA of the spatial dependence of the pairing field with bare and induced interactions