Abstract
The basic notions associated with the idea of an “effective interaction” in nuclear physics are sketched by first recalling isolated two-body scattering analyzed with integral equations and in which the transition operator appears naturally. Brueckner's reaction matrix operator is discussed in the context of both infinite nuclear matter and finite nuclei with doubly closed shells. Finally, open-shell nuclei are touched upon by way of a many-body effective interaction operator deduced in simple language and a possible connection between this and the reaction matrix operator is given. It is emphasized throughout that the basic merit of the vantage-point sketched here is its fundamental origin in the many-body Schrödinger equation.
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