dorsal/arxiv
View SchemaTowards a fully self-consistent spectral function of the nucleon in nuclear matter
| Authors | F. de Jong, H. Lenske |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703003 |
| URL | https://arxiv.org/abs/nucl-th/9703003 |
| DOI | 10.1103/PhysRevC.56.154 |
| Journal | Phys.Rev.C56:154-164,1997 |
Abstract
We present a calculation of nuclear matter which goes beyond the usual quasi-particle approximation in that it includes part of the off-shell dependence of the self-energy in the self-consistent solution of the single-particle spectrum. The spectral function is separated in contributions for energies above and below the chemical potential. For holes we approximate the spectral function for energies below the chemical potential by a $\delta$-function at the quasi-particle peak and retain the standard form for energies above the chemical potential. For particles a similar procedure is followed. The approximated spectral function is consistently used at all levels of the calculation. Results for a model calculation are presented, the main conclusion is that although several observables are affected by the inclusion of the continuum contributions the physical consistency of the model does not improve with the improved self-consistency of the solution method. This in contrast to expectations based on the crucial role of self-consistency in the proofs of conservation laws.
{
"annotation_id": "2ec051f1-0dde-4ee8-b67d-679265a60dc5",
"date_created": "2026-03-02T18:00:18.742000Z",
"date_modified": "2026-03-02T18:00:18.742000Z",
"file_hash": "9f9164d30485ac79f98808e91773ffd06942e253229114e90ac2fe544efd344f",
"private": false,
"record": {
"abstract": "We present a calculation of nuclear matter which goes beyond the usual\nquasi-particle approximation in that it includes part of the off-shell\ndependence of the self-energy in the self-consistent solution of the\nsingle-particle spectrum. The spectral function is separated in contributions\nfor energies above and below the chemical potential. For holes we approximate\nthe spectral function for energies below the chemical potential by a\n$\\delta$-function at the quasi-particle peak and retain the standard form for\nenergies above the chemical potential. For particles a similar procedure is\nfollowed. The approximated spectral function is consistently used at all levels\nof the calculation. Results for a model calculation are presented, the main\nconclusion is that although several observables are affected by the inclusion\nof the continuum contributions the physical consistency of the model does not\nimprove with the improved self-consistency of the solution method. This in\ncontrast to expectations based on the crucial role of self-consistency in the\nproofs of conservation laws.",
"arxiv_id": "nucl-th/9703003",
"authors": [
"F. de Jong",
"H. Lenske"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.154",
"journal_ref": "Phys.Rev.C56:154-164,1997",
"title": "Towards a fully self-consistent spectral function of the nucleon in nuclear matter",
"url": "https://arxiv.org/abs/nucl-th/9703003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "988b82c1-04aa-4782-bbd1-841b332a6b7c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}