dorsal/arxiv
View SchemaOn the role of the $\Delta (1232)$ on the transverse nuclear response in the $(e,e')$ reaction
| Authors | E. Bauer |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9801006 |
| URL | https://arxiv.org/abs/nucl-th/9801006 |
| DOI | 10.1016/S0375-9474(98)00235-8 |
| Journal | Nucl.Phys. A637 (1998) 243-279 |
Abstract
The transverse nuclear response to an electromagnetic probe which is limited to create (or destroyed) a particle-hole ($ph$) or delta-hole ($\Delta h$) pair is analyzed. Correlations of the random phase approximation (RPA) type and self energy insertions are considered. For RPA correlations we have developed a scheme which includes explicitly the $\Delta$ and the exchange terms. Self energy insertions over $ph$ and $\Delta h$ bubbles are studied. Several residual interactions based on a contact plus a ($\pi + \rho$)-meson exchange potential are used. All calculations are performed in non-relativistic nuclear matter. The main effect of the $\Delta$ is to reduce the intensity over the nuclear quasi-elastic peak. Exchange RPA terms are very important, while the self energy depends strongly on the residual interaction employed. We compare our final result with data for $^{40}Ca$ at momentum transfer $q=410$ and $q=550$ MeV/c.
{
"annotation_id": "cc2ef0bb-f9a9-4200-8b95-8ccd43e89100",
"date_created": "2026-03-02T18:00:22.465000Z",
"date_modified": "2026-03-02T18:00:22.465000Z",
"file_hash": "46c60e0be2c79314a8ab6f643022a4e74e6325ee24e2a173925abb240a32fb61",
"private": false,
"record": {
"abstract": "The transverse nuclear response to an electromagnetic probe which is limited\nto create (or destroyed) a particle-hole ($ph$) or delta-hole ($\\Delta h$) pair\nis analyzed. Correlations of the random phase approximation (RPA) type and self\nenergy insertions are considered. For RPA correlations we have developed a\nscheme which includes explicitly the $\\Delta$ and the exchange terms. Self\nenergy insertions over $ph$ and $\\Delta h$ bubbles are studied. Several\nresidual interactions based on a contact plus a ($\\pi + \\rho$)-meson exchange\npotential are used. All calculations are performed in non-relativistic nuclear\nmatter. The main effect of the $\\Delta$ is to reduce the intensity over the\nnuclear quasi-elastic peak. Exchange RPA terms are very important, while the\nself energy depends strongly on the residual interaction employed. We compare\nour final result with data for $^{40}Ca$ at momentum transfer $q=410$ and\n$q=550$ MeV/c.",
"arxiv_id": "nucl-th/9801006",
"authors": [
"E. Bauer"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(98)00235-8",
"journal_ref": "Nucl.Phys. A637 (1998) 243-279",
"title": "On the role of the $\\Delta (1232)$ on the transverse nuclear response in the $(e,e\u0027)$ reaction",
"url": "https://arxiv.org/abs/nucl-th/9801006"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3ae77f2b-18bd-45a8-8143-355777432a41",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}