Configuration space method to calculate rearrangement matrix elements
A new method has been developed for calculating rearrangement matrix elements within the two-centre convergent close-coupling theory and applied to Ps formation in positron–atom collisions. The method utilises partial wave expansion of the Ps wavefunction that separates dependencies on coordinates o...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier BV
2019
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| Online Access: | http://hdl.handle.net/20.500.11937/74379 |
| _version_ | 1848763258458079232 |
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| author | Utamuratov, R. Fursa, Dmitry Kadyrov, Alisher Bray, I. |
| author_facet | Utamuratov, R. Fursa, Dmitry Kadyrov, Alisher Bray, I. |
| author_sort | Utamuratov, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A new method has been developed for calculating rearrangement matrix elements within the two-centre convergent close-coupling theory and applied to Ps formation in positron–atom collisions. The method utilises partial wave expansion of the Ps wavefunction that separates dependencies on coordinates of electron and positron. Resulting expressions contain slowly converging series which have been accelerated with use of the Euler–Wijngaarden transformation. The integrals in the method are free of the Coulomb singularity that appears in previously used momentum-space methods and therefore more straightforward to apply to complex and charged targets. The results are compared with the existing benchmark calculations for positron scattering on H and He+ targets. |
| first_indexed | 2025-11-14T11:00:36Z |
| format | Journal Article |
| id | curtin-20.500.11937-74379 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:00:36Z |
| publishDate | 2019 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-743792019-08-22T07:12:29Z Configuration space method to calculate rearrangement matrix elements Utamuratov, R. Fursa, Dmitry Kadyrov, Alisher Bray, I. A new method has been developed for calculating rearrangement matrix elements within the two-centre convergent close-coupling theory and applied to Ps formation in positron–atom collisions. The method utilises partial wave expansion of the Ps wavefunction that separates dependencies on coordinates of electron and positron. Resulting expressions contain slowly converging series which have been accelerated with use of the Euler–Wijngaarden transformation. The integrals in the method are free of the Coulomb singularity that appears in previously used momentum-space methods and therefore more straightforward to apply to complex and charged targets. The results are compared with the existing benchmark calculations for positron scattering on H and He+ targets. 2019 Journal Article http://hdl.handle.net/20.500.11937/74379 10.1016/j.cpc.2019.01.010 Elsevier BV restricted |
| spellingShingle | Utamuratov, R. Fursa, Dmitry Kadyrov, Alisher Bray, I. Configuration space method to calculate rearrangement matrix elements |
| title | Configuration space method to calculate rearrangement matrix elements |
| title_full | Configuration space method to calculate rearrangement matrix elements |
| title_fullStr | Configuration space method to calculate rearrangement matrix elements |
| title_full_unstemmed | Configuration space method to calculate rearrangement matrix elements |
| title_short | Configuration space method to calculate rearrangement matrix elements |
| title_sort | configuration space method to calculate rearrangement matrix elements |
| url | http://hdl.handle.net/20.500.11937/74379 |