Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation
A full four-body implementation of the propagating exterior complex scaling (PECS) method [ J. Phys. B 37 L69 (2004)] is developed and applied to the electron-impact of helium in an S-wave model. Time-independent solutions to the Schrödinger equation are found numerically in coordinate space over a...
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| Format: | Journal Article |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/27967 |
| _version_ | 1848752409747128320 |
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| author | Bartlett, P. Stelbovics, Andris |
| author_facet | Bartlett, P. Stelbovics, Andris |
| author_sort | Bartlett, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A full four-body implementation of the propagating exterior complex scaling (PECS) method [ J. Phys. B 37 L69 (2004)] is developed and applied to the electron-impact of helium in an S-wave model. Time-independent solutions to the Schrödinger equation are found numerically in coordinate space over a wide range of energies and used to evaluate total and differential cross sections for a complete set of three- and four-body processes with benchmark precision. With this model we demonstrate the suitability of the PECS method for the complete solution of the full electron-helium system. Here we detail the theoretical and computational development of the four-body PECS method and present results for three-body channels: single excitation and single ionization. Four-body cross sections are presented in the sequel to this article [ Phys. Rev. A 81 022716 (2010)]. The calculations reveal structure in the total and energy-differential single-ionization cross sections for excited-state targets that is due to interference from autoionization channels and is evident over a wide range of incident electron energies. |
| first_indexed | 2025-11-14T08:08:10Z |
| format | Journal Article |
| id | curtin-20.500.11937-27967 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:08:10Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-279672018-03-29T09:09:00Z Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation Bartlett, P. Stelbovics, Andris A full four-body implementation of the propagating exterior complex scaling (PECS) method [ J. Phys. B 37 L69 (2004)] is developed and applied to the electron-impact of helium in an S-wave model. Time-independent solutions to the Schrödinger equation are found numerically in coordinate space over a wide range of energies and used to evaluate total and differential cross sections for a complete set of three- and four-body processes with benchmark precision. With this model we demonstrate the suitability of the PECS method for the complete solution of the full electron-helium system. Here we detail the theoretical and computational development of the four-body PECS method and present results for three-body channels: single excitation and single ionization. Four-body cross sections are presented in the sequel to this article [ Phys. Rev. A 81 022716 (2010)]. The calculations reveal structure in the total and energy-differential single-ionization cross sections for excited-state targets that is due to interference from autoionization channels and is evident over a wide range of incident electron energies. 2010 Journal Article http://hdl.handle.net/20.500.11937/27967 10.1103/PhysRevA.81.022715 American Physical Society restricted |
| spellingShingle | Bartlett, P. Stelbovics, Andris Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation |
| title | Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation |
| title_full | Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation |
| title_fullStr | Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation |
| title_full_unstemmed | Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation |
| title_short | Electron-helium S-wave model benchmark calculations. I. Single ionization and single excitation |
| title_sort | electron-helium s-wave model benchmark calculations. i. single ionization and single excitation |
| url | http://hdl.handle.net/20.500.11937/27967 |