Correlations in Nuclei: Self-Consistent Treatment and the BAGEL Approach

Details Correlations in Nuclei: Self-Consistent Treatment and the BAGEL Approach Correlations in Nuclei: Self-Consistent Treatment and the BAGEL Approach

1993-03-29

arxiv.org/abs/nucl-th/9303023v1

Phys.Lett. B306 (1993) 201-206

Physics

Nuclear Physics

Nuclear Theory

9 pages

Scientific paper

10.1016/0370-2693(93)90068-S

An approach is presented which allows a self-consistent description of the fragmentation of single-particle strength for nucleons in finite nuclei employing the Greens function formalism. The self-energy to be considered in the Dyson equation for the single-particle Greens function contains all terms of first (Hartree-Fock) and second order in the residual interaction. It is demonstrated that the fragmentation of the single-particle strength originating from the terms of second order can efficiently be described in terms of the so-called BAGEL approximation. Employing this approximation the self-energy can be evaluated in a self-consistent way, i.e. the correlations contained in the Greens function are taken into account for the evaluation of the self-energy. As an example this scheme is applied to the nucleus $^{16}O$, using a realistic nucleon nucleon interaction. The effects of the correlations on the occupation probabilities and the binding energy are evaluated.

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