dorsal/arxiv
View SchemaNeutron charge radius and the Dirac equation
| Authors | M. Bawin, S. A. Coon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9906014 |
| URL | https://arxiv.org/abs/nucl-th/9906014 |
| DOI | 10.1103/PhysRevC.60.025207 |
| Journal | Phys.Rev. C60 (1999) 025207 |
Abstract
We consider the Dirac equation for a finite-size neutron in an external electric field. We explicitly incorporate Dirac-Pauli form factors into the Dirac equation. After a non-relativistic reduction, the Darwin-Foldy term is cancelled by a contribution from the Dirac form factor, so that the only coefficient of the external field charge density is $e/6 r^2_{En}$, i. e. the root mean square radius associated with the electric Sachs form factor . Our result is similar to a recent result of Isgur, and reconciles two apparently conflicting viewpoints about the use of the Dirac equation for the description of nucleons.
{
"annotation_id": "a8abd5b1-0d5c-4724-a6f1-7f88e54d3922",
"date_created": "2026-03-02T18:00:25.372000Z",
"date_modified": "2026-03-02T18:00:25.372000Z",
"file_hash": "850598ad1e6fe1e5340e8453daa137f50be1d7151f3a0fbd4fd09cecc8dec596",
"private": false,
"record": {
"abstract": "We consider the Dirac equation for a finite-size neutron in an external\nelectric field. We explicitly incorporate Dirac-Pauli form factors into the\nDirac equation. After a non-relativistic reduction, the Darwin-Foldy term is\ncancelled by a contribution from the Dirac form factor, so that the only\ncoefficient of the external field charge density is $e/6 r^2_{En}$, i. e. the\nroot mean square radius associated with the electric Sachs form factor . Our\nresult is similar to a recent result of Isgur, and reconciles two apparently\nconflicting viewpoints about the use of the Dirac equation for the description\nof nucleons.",
"arxiv_id": "nucl-th/9906014",
"authors": [
"M. Bawin",
"S. A. Coon"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.60.025207",
"journal_ref": "Phys.Rev. C60 (1999) 025207",
"title": "Neutron charge radius and the Dirac equation",
"url": "https://arxiv.org/abs/nucl-th/9906014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "12dbeca3-d4fa-4257-87a0-0e14ab6aeb29",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}