dorsal/arxiv
View SchemaElectron-atom ionization near the Bethe ridge: revision of plane wave first-order theories
| Authors | Konstantin A Kouzakov, Pavel S Vinitsky, Yuri V Popov, Claude Dal Cappello |
|---|---|
| Categories | |
| ArXiv ID | physics/0610113 |
| URL | https://arxiv.org/abs/physics/0610113 |
Abstract
We consider electron impact single ionization of an atom at large energy-momentum transfer in the nearly Bethe-ridge kinematics. For evaluation of the ionization amplitude, a plane wave Born series is employed. A regularization procedure is utilized in circumventing typical divergence problems associated with the higher-order Born terms. The regularized Born series for the ionization amplitude is derived. On this basis, renormalized analogs of the traditional plane wave Born and impulse approximations are developed. These renormalized first-order models resemble the traditional plane wave impulse approximation with a modified Gamow factor. Numerical results using different approximations are presented and analyzed for the case of electron-hydrogen ionization. The present theoretical consideration can be important for absolute measurements.
{
"annotation_id": "db803576-ea08-42dc-9639-a8106854b821",
"date_created": "2026-03-02T18:01:14.872000Z",
"date_modified": "2026-03-02T18:01:14.872000Z",
"file_hash": "d9a4e7bb152691488f4530e3363599ad7b5ac9bc9956da6ca9e56b1f9a4ebbf3",
"private": false,
"record": {
"abstract": "We consider electron impact single ionization of an atom at large\nenergy-momentum transfer in the nearly Bethe-ridge kinematics. For evaluation\nof the ionization amplitude, a plane wave Born series is employed. A\nregularization procedure is utilized in circumventing typical divergence\nproblems associated with the higher-order Born terms. The regularized Born\nseries for the ionization amplitude is derived. On this basis, renormalized\nanalogs of the traditional plane wave Born and impulse approximations are\ndeveloped. These renormalized first-order models resemble the traditional plane\nwave impulse approximation with a modified Gamow factor. Numerical results\nusing different approximations are presented and analyzed for the case of\nelectron-hydrogen ionization. The present theoretical consideration can be\nimportant for absolute measurements.",
"arxiv_id": "physics/0610113",
"authors": [
"Konstantin A Kouzakov",
"Pavel S Vinitsky",
"Yuri V Popov",
"Claude Dal Cappello"
],
"categories": [
"physics.atom-ph"
],
"title": "Electron-atom ionization near the Bethe ridge: revision of plane wave first-order theories",
"url": "https://arxiv.org/abs/physics/0610113"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5e2308bb-65ed-42b3-b473-3f43287b1489",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}