Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method
Details of the recently developed quantum-mechanical two-center convergent close-coupling approach (Abdurakhmanov et al 2016 J. Phys. B: At. Mol. Phys. 49 03LT01) to proton-hydrogen scattering are presented. The formulation is based on the exact (fully quantum-mechanical) three-body Schrödinger equa...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Institute of Physics Publishing Ltd.
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/9741 |
| _version_ | 1848746037153366016 |
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| author | Abdurakhmanov, Ilkhom Kadyrov, Alisher Avazbaev, S. Bray, Igor |
| author_facet | Abdurakhmanov, Ilkhom Kadyrov, Alisher Avazbaev, S. Bray, Igor |
| author_sort | Abdurakhmanov, Ilkhom |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Details of the recently developed quantum-mechanical two-center convergent close-coupling approach (Abdurakhmanov et al 2016 J. Phys. B: At. Mol. Phys. 49 03LT01) to proton-hydrogen scattering are presented. The formulation is based on the exact (fully quantum-mechanical) three-body Schrödinger equation. The total scattering wavefunction is expanded using a two-center pseudostate basis. This allows one to include all underlying processes, namely, direct scattering and ionization, electron capture into bound and continuum states of the projectile. The off-shell integration in the coupled-channel Lippmann-Schwinger integral equations emerging from the three-body Schrödinger equation for the scattering wavefunction is taken analytically which greatly reduces computational effort. While the calculated electron capture cross sections are in a good agreement with experiment, some discrepancy exists for the ionization cross sections. |
| first_indexed | 2025-11-14T06:26:53Z |
| format | Journal Article |
| id | curtin-20.500.11937-9741 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:26:53Z |
| publishDate | 2016 |
| publisher | Institute of Physics Publishing Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-97412017-09-13T14:51:29Z Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method Abdurakhmanov, Ilkhom Kadyrov, Alisher Avazbaev, S. Bray, Igor Details of the recently developed quantum-mechanical two-center convergent close-coupling approach (Abdurakhmanov et al 2016 J. Phys. B: At. Mol. Phys. 49 03LT01) to proton-hydrogen scattering are presented. The formulation is based on the exact (fully quantum-mechanical) three-body Schrödinger equation. The total scattering wavefunction is expanded using a two-center pseudostate basis. This allows one to include all underlying processes, namely, direct scattering and ionization, electron capture into bound and continuum states of the projectile. The off-shell integration in the coupled-channel Lippmann-Schwinger integral equations emerging from the three-body Schrödinger equation for the scattering wavefunction is taken analytically which greatly reduces computational effort. While the calculated electron capture cross sections are in a good agreement with experiment, some discrepancy exists for the ionization cross sections. 2016 Journal Article http://hdl.handle.net/20.500.11937/9741 10.1088/0953-4075/49/11/115203 Institute of Physics Publishing Ltd. restricted |
| spellingShingle | Abdurakhmanov, Ilkhom Kadyrov, Alisher Avazbaev, S. Bray, Igor Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method |
| title | Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method |
| title_full | Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method |
| title_fullStr | Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method |
| title_full_unstemmed | Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method |
| title_short | Solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method |
| title_sort | solution of the proton-hydrogen scattering problem using a quantum-mechanical two-center convergent close-coupling method |
| url | http://hdl.handle.net/20.500.11937/9741 |