dorsal/arxiv
View SchemaCorrelations in Nuclei: Self-Consistent Treatment and the BAGEL Approach
| Authors | H. Müther, L. D. Skouras |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9303023 |
| URL | https://arxiv.org/abs/nucl-th/9303023 |
| DOI | 10.1016/0370-2693(93)90068-S |
| Journal | Phys.Lett. B306 (1993) 201-206 |
Abstract
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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"abstract": "An approach is presented which allows a self-consistent description of the\nfragmentation of single-particle strength for nucleons in finite nuclei\nemploying the Greens function formalism. The self-energy to be considered in\nthe Dyson equation for the single-particle Greens function contains all terms\nof first (Hartree-Fock) and second order in the residual interaction. It is\ndemonstrated that the fragmentation of the single-particle strength originating\nfrom the terms of second order can efficiently be described in terms of the\nso-called BAGEL approximation. Employing this approximation the self-energy can\nbe evaluated in a self-consistent way, i.e. the correlations contained in the\nGreens function are taken into account for the evaluation of the self-energy.\nAs an example this scheme is applied to the nucleus $^{16}O$, using a realistic\nnucleon nucleon interaction. The effects of the correlations on the occupation\nprobabilities and the binding energy are evaluated.",
"arxiv_id": "nucl-th/9303023",
"authors": [
"H. M\u00fcther",
"L. D. Skouras"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(93)90068-S",
"journal_ref": "Phys.Lett. B306 (1993) 201-206",
"title": "Correlations in Nuclei: Self-Consistent Treatment and the BAGEL Approach",
"url": "https://arxiv.org/abs/nucl-th/9303023"
},
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