dorsal/arxiv
View SchemaRelativistic Coulomb Sum Rules for $(e,e^\prime)$
| Authors | T. C. Ferrée, D. S. Koltun |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9401009 |
| URL | https://arxiv.org/abs/nucl-th/9401009 |
| DOI | 10.1103/PhysRevC.49.1961 |
| Journal | Phys.Rev.C49:1961-1975,1994 |
Abstract
A Coulomb sum rule is derived for the response of nuclei to $(e,e^\prime)$ scattering with large three-momentum transfers. Unlike the nonrelativistic formulation, the relativistic Coulomb sum is restricted to spacelike four-momenta for the most direct connection with experiments; an immediate consequence is that excitations involving antinucleons, e.g., $N{\bar N}$ pair production, are approximately eliminated from the sum rule. Relativistic recoil and Fermi motion of target nucleons are correctly incorporated. The sum rule decomposes into one- and two-body parts, with correlation information in the second. The one-body part requires information on the nucleon momentum distribution function, which is incorporated by a moment expansion method. The sum rule given through the second moment (RCSR-II) is tested in the Fermi gas model, and is shown to be sufficiently accurate for applications to data.
{
"annotation_id": "e3ddbb0b-b02e-44da-a2ed-697539c9f5a6",
"date_created": "2026-03-02T18:00:11.980000Z",
"date_modified": "2026-03-02T18:00:11.980000Z",
"file_hash": "a9b7ed4f7d8729645b31767f14c51e90905e74f2a7d612eaf3690a60cd289eb6",
"private": false,
"record": {
"abstract": "A Coulomb sum rule is derived for the response of nuclei to $(e,e^\\prime)$\nscattering with large three-momentum transfers. Unlike the nonrelativistic\nformulation, the relativistic Coulomb sum is restricted to spacelike\nfour-momenta for the most direct connection with experiments; an immediate\nconsequence is that excitations involving antinucleons, e.g., $N{\\bar N}$ pair\nproduction, are approximately eliminated from the sum rule. Relativistic recoil\nand Fermi motion of target nucleons are correctly incorporated. The sum rule\ndecomposes into one- and two-body parts, with correlation information in the\nsecond. The one-body part requires information on the nucleon momentum\ndistribution function, which is incorporated by a moment expansion method. The\nsum rule given through the second moment (RCSR-II) is tested in the Fermi gas\nmodel, and is shown to be sufficiently accurate for applications to data.",
"arxiv_id": "nucl-th/9401009",
"authors": [
"T. C. Ferr\u00e9e",
"D. S. Koltun"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.49.1961",
"journal_ref": "Phys.Rev.C49:1961-1975,1994",
"title": "Relativistic Coulomb Sum Rules for $(e,e^\\prime)$",
"url": "https://arxiv.org/abs/nucl-th/9401009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a371ef7e-0a4b-48f3-b2d0-343307e99774",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}