dorsal/arxiv
View SchemaComplete Numerical Solution of the Temkin-Poet Three-Body Problem
| Authors | S. Jones, A. T. Stelbovics |
|---|---|
| Categories | |
| ArXiv ID | physics/9906009 |
| URL | https://arxiv.org/abs/physics/9906009 |
Abstract
Although the convergent close-coupling (CCC) method has achieved unprecedented success in obtaining accurate theoretical cross sections for electron-atom scattering, it generally fails to yield converged energy distributions for ionization. Here we report converged energy distributions for ionization of H(1s) by numerically integrating Schroedinger's equation subject to correct asymptotic boundary conditions for the Temkin-Poet model collision problem, which neglects angular momentum. Moreover, since the present method is complete, we obtained convergence for all transitions in a single calculation. Complete results, accurate to 1%, are presented for impact energies of 54.4 and 40.8 eV, where CCC results are available for comparison.
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"date_created": "2026-03-02T18:01:25.422000Z",
"date_modified": "2026-03-02T18:01:25.422000Z",
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"abstract": "Although the convergent close-coupling (CCC) method has achieved\nunprecedented success in obtaining accurate theoretical cross sections for\nelectron-atom scattering, it generally fails to yield converged energy\ndistributions for ionization. Here we report converged energy distributions for\nionization of H(1s) by numerically integrating Schroedinger\u0027s equation subject\nto correct asymptotic boundary conditions for the Temkin-Poet model collision\nproblem, which neglects angular momentum. Moreover, since the present method is\ncomplete, we obtained convergence for all transitions in a single calculation.\nComplete results, accurate to 1%, are presented for impact energies of 54.4 and\n40.8 eV, where CCC results are available for comparison.",
"arxiv_id": "physics/9906009",
"authors": [
"S. Jones",
"A. T. Stelbovics"
],
"categories": [
"physics.atom-ph"
],
"title": "Complete Numerical Solution of the Temkin-Poet Three-Body Problem",
"url": "https://arxiv.org/abs/physics/9906009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d8ecc4fe-a385-4d18-a88b-8d8c1b9cd8ed",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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