Abstract
Abstract Some single-nucleon models for a many-body system are investigated. In particular the singularities are considered which appear in a single-nucleon potential when the nucleonnucleon interaction has an infinitely hard core. It is demonstrated, in terms of a perturbation expansion, that these singularities occur in the particle density of the single-nucleon potential (the so-called particle-particle energies) or, in terms of Green functions, that they are caused by the singular behaviour of the derivative G ′( t ) in the limit t → +0. Various definitions of rearrangement energies are discussed.
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