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Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem
Abstract
Convergence as a function of the number of states is studied and demonstrated for the Poet-Temkin model of electron-hydrogen scattering. In this Coulomb three-body problem only the l=0 partial waves are treated. By taking as many as thirty target states, obtained by diagonalizing the target Hamiltonian in a Laguerre basis, complete agreement with the smooth results of Poet is obtained at all energies. We show that the often-encountered pseudoresonance features in the cross sections are simply an indication of an inadequate target state representation.
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Cited by
Calculation of electron-helium scattering
Fursa, D. V., & Bray, I. (1995) · Physical Review A · doi:10.1103/physreva.52.1279 · Cited by 337
Self-citationPark, R. M., Kupets, W., Zammit, M. C., Colgan, J., Fontes, C. J., Scheiner, B. S., Timmermans, E., Tang, X.-Z., Scarlett, L. H., Fursa, D. V., et al. (2022) · Plasma Sources Science and Technology · doi:10.1088/1361-6595/ac781f · Cited by 6
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Metadata
- Authors
- Bray, I., & Stelbovics, A. T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-07-06
- Volume
- 69
- Issue
- 1
- Pages
- 53-56
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2018609337
- Cited by
- 179
- References
- 0
- FWCI
- 6.90
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem. https://app.cochat.ai/papers/10.1103/physrevlett.69.53
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- Bray, I., & Stelbovics, A. T. (1992). Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem. Physical Review Letters. https://doi.org/10.1103/physrevlett.69.53
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