dorsal/arxiv
View SchemaWidth of the $\Delta$ resonance in nuclei
| Authors | M. Hjorth-Jensen, H. Müther, A. Polls |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9309019 |
| URL | https://arxiv.org/abs/nucl-th/9309019 |
| DOI | 10.1103/PhysRevC.50.501 |
| Journal | Phys.Rev.C50:501-504,1994 |
Abstract
In this work we evaluate the imaginary part of the isobar $\Delta$ self-energy $\Sigma_{\Delta}$ from the two-body absorption process $\Delta+N\rightarrow 2N$. This contribution is calculated using a recently developed non-relativistic scheme, which allows for an evaluation of the self-energy with a basis of single-particle states appropriate for both bound hole states and for particle states in the continuum. In order to test the medium dependence of the self-energy, we calculate the two-body absorption term $\Sigma_{\Delta}^{A2}$ for several finite nuclei with $N=Z$, i.e.\ $^{16}$O, $^{40}$Ca and $^{100}$Sn. The resulting self-energy, which is energy dependent and non-local, is compared with a simple parameterization derived from nuclear matter.
{
"annotation_id": "4468fc1c-17a5-467a-9862-8e76d497ff9e",
"date_created": "2026-03-02T18:00:11.469000Z",
"date_modified": "2026-03-02T18:00:11.469000Z",
"file_hash": "3d09018cd84e7fc20a6c04f97df5639df02c02c235238a26d813a60ce8d43584",
"private": false,
"record": {
"abstract": "In this work we evaluate the imaginary part of the isobar $\\Delta$\nself-energy $\\Sigma_{\\Delta}$ from the two-body absorption process\n$\\Delta+N\\rightarrow 2N$. This contribution is calculated using a recently\ndeveloped non-relativistic scheme, which allows for an evaluation of the\nself-energy with a basis of single-particle states appropriate for both bound\nhole states and for particle states in the continuum. In order to test the\nmedium dependence of the self-energy, we calculate the two-body absorption term\n$\\Sigma_{\\Delta}^{A2}$ for several finite nuclei with $N=Z$, i.e.\\ $^{16}$O,\n$^{40}$Ca and $^{100}$Sn. The resulting self-energy, which is energy dependent\nand non-local, is compared with a simple parameterization derived from nuclear\nmatter.",
"arxiv_id": "nucl-th/9309019",
"authors": [
"M. Hjorth-Jensen",
"H. M\u00fcther",
"A. Polls"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.50.501",
"journal_ref": "Phys.Rev.C50:501-504,1994",
"title": "Width of the $\\Delta$ resonance in nuclei",
"url": "https://arxiv.org/abs/nucl-th/9309019"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "dd096713-05ca-46d4-ba9f-a15c8d2c6bb0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}