Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions
Exact relativistic plane-wave Born (RPWB) matrix elements of the Møller interaction are incorporated in the “analytic Born subtraction technique” and employed in the relativistic convergent close-coupling method. Application to the calculation of high-energy electron-impact-excitation cross sections...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
American Physical Society
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/22799 |
| _version_ | 1848750972444082176 |
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| author | Bostock, Christopher Fontes, C. Fursa, Dmitry Zhang, H. Bray, Igor |
| author_facet | Bostock, Christopher Fontes, C. Fursa, Dmitry Zhang, H. Bray, Igor |
| author_sort | Bostock, Christopher |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Exact relativistic plane-wave Born (RPWB) matrix elements of the Møller interaction are incorporated in the “analytic Born subtraction technique” and employed in the relativistic convergent close-coupling method. Application to the calculation of high-energy electron-impact-excitation cross sections of highly charged hydrogenlike ions demonstrates the “Bethe rise,” an effect that is manifest in Bethe's original 1932 work on relativistic high-energy, electron-impact excitation. The result represents an improvement over Bethe's relativistic high-energy theory developed in the 1930s in that (i) both target and projectile electrons are represented relativistically with Dirac spinor wave functions and (ii) the dipole approximation plus additional assumptions are not employed in the RPWB scattering amplitude of the Møller interaction. |
| first_indexed | 2025-11-14T07:45:19Z |
| format | Journal Article |
| id | curtin-20.500.11937-22799 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:45:19Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-227992017-09-13T13:55:44Z Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions Bostock, Christopher Fontes, C. Fursa, Dmitry Zhang, H. Bray, Igor Exact relativistic plane-wave Born (RPWB) matrix elements of the Møller interaction are incorporated in the “analytic Born subtraction technique” and employed in the relativistic convergent close-coupling method. Application to the calculation of high-energy electron-impact-excitation cross sections of highly charged hydrogenlike ions demonstrates the “Bethe rise,” an effect that is manifest in Bethe's original 1932 work on relativistic high-energy, electron-impact excitation. The result represents an improvement over Bethe's relativistic high-energy theory developed in the 1930s in that (i) both target and projectile electrons are represented relativistically with Dirac spinor wave functions and (ii) the dipole approximation plus additional assumptions are not employed in the RPWB scattering amplitude of the Møller interaction. 2013 Journal Article http://hdl.handle.net/20.500.11937/22799 10.1103/PhysRevA.88.012711 American Physical Society restricted |
| spellingShingle | Bostock, Christopher Fontes, C. Fursa, Dmitry Zhang, H. Bray, Igor Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions |
| title | Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions |
| title_full | Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions |
| title_fullStr | Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions |
| title_full_unstemmed | Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions |
| title_short | Calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions |
| title_sort | calculation of the relativistic rise in electron-impact-excitation cross sections for highly charged ions |
| url | http://hdl.handle.net/20.500.11937/22799 |