dorsal/arxiv
View SchemaElectromagnetic Dissociation of Nuclei in Heavy-Ion Collisions
| Authors | C. J. Benesh, J. L. Friar |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9212016 |
| URL | https://arxiv.org/abs/nucl-th/9212016 |
| DOI | 10.1103/PhysRevC.48.1285 |
| Journal | Phys.Rev.C48:1285-1296,1993 |
Abstract
Large discrepancies have been observed between measured Electromagnetic Dissociation(ED) cross sections and the predictions of the semiclassical Weiz\"acker-Williams-Fermi(WWF) method. In this paper, the validity of the semiclassical approximation is examined. The total cross section for electromagnetic excitation of a nuclear target by a spinless projectile is calculated in first Born approximation, neglecting recoil. The final result is expressed in terms of correlation functions and convoluted densities in configuration space. The result agrees with the WWF approximation to leading order(unretarded electric dipole approximation), but the method allows an analytic evaluation of the cutoff, which is determined by the details of the electric dipole transition charge density. Using the Goldhaber-Teller model of that density, and uniform charge densities for both projectile and target, the cutoff is determined for the total cross section in the nonrelativistic limit, and found to be smaller than values currently used for ED calculations. In addition, cross sections are calculated using a phenomenological momentum space cutoff designed to model final state interactions. For moderate projectile energies, the calculated ED cross section is found to be smaller than the semiclassical result, in qualitative agreement with experiment.
{
"annotation_id": "9bddf16e-df8d-4afe-b269-26233480202c",
"date_created": "2026-03-02T18:00:12.088000Z",
"date_modified": "2026-03-02T18:00:12.088000Z",
"file_hash": "e898cb3417a23365e41302868946ba90927f70c05adae72804e3aaced70e1f4c",
"private": false,
"record": {
"abstract": "Large discrepancies have been observed between measured Electromagnetic\nDissociation(ED) cross sections and the predictions of the semiclassical\nWeiz\\\"acker-Williams-Fermi(WWF) method. In this paper, the validity of the\nsemiclassical approximation is examined. The total cross section for\nelectromagnetic excitation of a nuclear target by a spinless projectile is\ncalculated in first Born approximation, neglecting recoil. The final result is\nexpressed in terms of correlation functions and convoluted densities in\nconfiguration space. The result agrees with the WWF approximation to leading\norder(unretarded electric dipole approximation), but the method allows an\nanalytic evaluation of the cutoff, which is determined by the details of the\nelectric dipole transition charge density. Using the Goldhaber-Teller model of\nthat density, and uniform charge densities for both projectile and target, the\ncutoff is determined for the total cross section in the nonrelativistic limit,\nand found to be smaller than values currently used for ED calculations. In\naddition, cross sections are calculated using a phenomenological momentum space\ncutoff designed to model final state interactions. For moderate projectile\nenergies, the calculated ED cross section is found to be smaller than the\nsemiclassical result, in qualitative agreement with experiment.",
"arxiv_id": "nucl-th/9212016",
"authors": [
"C. J. Benesh",
"J. L. Friar"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.48.1285",
"journal_ref": "Phys.Rev.C48:1285-1296,1993",
"title": "Electromagnetic Dissociation of Nuclei in Heavy-Ion Collisions",
"url": "https://arxiv.org/abs/nucl-th/9212016"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "223dc79f-71b5-4933-a354-46cc965376df",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}