dorsal/arxiv
View SchemaGauging the three-nucleon spectator equation
| Authors | A. N. Kvinikhidze, B. Blankleider |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9706052 |
| URL | https://arxiv.org/abs/nucl-th/9706052 |
| DOI | 10.1103/PhysRevC.56.2973 |
| Journal | Phys.Rev.C56:2973-2986,1997 |
Abstract
We derive relativistic three-dimensional integral equations describing the interaction of the three-nucleon system with an external electromagnetic field. Our equations are unitary, gauge invariant, and they conserve charge. This has been achieved by applying the recently introduced gauging of equations method to the three-nucleon spectator equations where spectator nucleons are always on mass shell. As a result, the external photon is attached to all possible places in the strong interaction model, so that current and charge conservation are implemented in the theoretically correct fashion. Explicit expressions are given for the three-nucleon bound state electromagnetic current, as well as the transition currents for the scattering processes \gamma He3 -> NNN, Nd -> \gamma Nd, and \gamma He3 -> Nd. As a result, a unified covariant three-dimensional description of the NNN-\gamma NNN system is achieved.
{
"annotation_id": "631d23e9-88dd-4872-abe8-1dc618e227b5",
"date_created": "2026-03-02T18:00:18.399000Z",
"date_modified": "2026-03-02T18:00:18.399000Z",
"file_hash": "cd144b20f42808595fc2895e99bff83c85064fc00bd3b8b136e456b686cbe14c",
"private": false,
"record": {
"abstract": "We derive relativistic three-dimensional integral equations describing the\ninteraction of the three-nucleon system with an external electromagnetic field.\nOur equations are unitary, gauge invariant, and they conserve charge. This has\nbeen achieved by applying the recently introduced gauging of equations method\nto the three-nucleon spectator equations where spectator nucleons are always on\nmass shell. As a result, the external photon is attached to all possible places\nin the strong interaction model, so that current and charge conservation are\nimplemented in the theoretically correct fashion. Explicit expressions are\ngiven for the three-nucleon bound state electromagnetic current, as well as the\ntransition currents for the scattering processes\n \\gamma He3 -\u003e NNN, Nd -\u003e \\gamma Nd, and \\gamma He3 -\u003e Nd. As a result, a\nunified covariant three-dimensional description of the NNN-\\gamma NNN system is\nachieved.",
"arxiv_id": "nucl-th/9706052",
"authors": [
"A. N. Kvinikhidze",
"B. Blankleider"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.2973",
"journal_ref": "Phys.Rev.C56:2973-2986,1997",
"title": "Gauging the three-nucleon spectator equation",
"url": "https://arxiv.org/abs/nucl-th/9706052"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a7e20382-9114-4d9c-93a1-8f31a282b896",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}