New approach to folding with the Coulomb wave function
© 2015 AIP Publishing LLC. Due to the long-range character of the Coulomb interaction theoretical description of low-energy nuclear reactions with charged particles still remains a formidable task. One way of dealing with the problem in an integral-equation approach is to employ a screened Coulomb p...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
American Institute of Physics Inc.
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/4546 |
| _version_ | 1848744546362458112 |
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| author | Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. |
| author_facet | Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. |
| author_sort | Blokhintsev, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2015 AIP Publishing LLC. Due to the long-range character of the Coulomb interaction theoretical description of low-energy nuclear reactions with charged particles still remains a formidable task. One way of dealing with the problem in an integral-equation approach is to employ a screened Coulomb potential. A general approach without screening requires folding of kernels of the integral equations with the Coulomb wave. A new method of folding a function with the Coulomb partial waves is presented. The partial-wave Coulomb function both in the configuration and momentum representations is written in the form of separable series. Each term of the series is represented as a product of a factor depending only on the Coulomb parameter and a function depending on the spatial variable in the configuration space and the momentum variable if the momentum representation is used. Using a trial function, the method is demonstrated to be efficient and reliable. |
| first_indexed | 2025-11-14T06:03:11Z |
| format | Journal Article |
| id | curtin-20.500.11937-4546 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:03:11Z |
| publishDate | 2015 |
| publisher | American Institute of Physics Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-45462017-09-13T14:47:32Z New approach to folding with the Coulomb wave function Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. © 2015 AIP Publishing LLC. Due to the long-range character of the Coulomb interaction theoretical description of low-energy nuclear reactions with charged particles still remains a formidable task. One way of dealing with the problem in an integral-equation approach is to employ a screened Coulomb potential. A general approach without screening requires folding of kernels of the integral equations with the Coulomb wave. A new method of folding a function with the Coulomb partial waves is presented. The partial-wave Coulomb function both in the configuration and momentum representations is written in the form of separable series. Each term of the series is represented as a product of a factor depending only on the Coulomb parameter and a function depending on the spatial variable in the configuration space and the momentum variable if the momentum representation is used. Using a trial function, the method is demonstrated to be efficient and reliable. 2015 Journal Article http://hdl.handle.net/20.500.11937/4546 10.1063/1.4919674 American Institute of Physics Inc. restricted |
| spellingShingle | Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. New approach to folding with the Coulomb wave function |
| title | New approach to folding with the Coulomb wave function |
| title_full | New approach to folding with the Coulomb wave function |
| title_fullStr | New approach to folding with the Coulomb wave function |
| title_full_unstemmed | New approach to folding with the Coulomb wave function |
| title_short | New approach to folding with the Coulomb wave function |
| title_sort | new approach to folding with the coulomb wave function |
| url | http://hdl.handle.net/20.500.11937/4546 |