Extrapolation of scattering data to the negative-energy region
Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed into forms convenient for extrapolating to the negative-energy...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
The American Physical Society
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/53307 |
| _version_ | 1848759112621359104 |
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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 | Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed into forms convenient for extrapolating to the negative-energy region and obtaining the information about bound-state properties. Alternative ways of extrapolation are discussed. Analytic properties of separate terms entering these expressions for the effective-range function and the partial-wave scattering amplitude are investigated. |
| first_indexed | 2025-11-14T09:54:42Z |
| format | Journal Article |
| id | curtin-20.500.11937-53307 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:54:42Z |
| publishDate | 2017 |
| publisher | The American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-533072018-03-29T09:09:37Z Extrapolation of scattering data to the negative-energy region Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed into forms convenient for extrapolating to the negative-energy region and obtaining the information about bound-state properties. Alternative ways of extrapolation are discussed. Analytic properties of separate terms entering these expressions for the effective-range function and the partial-wave scattering amplitude are investigated. 2017 Journal Article http://hdl.handle.net/20.500.11937/53307 10.1103/PhysRevC.95.044618 The American Physical Society restricted |
| spellingShingle | Blokhintsev, L. Kadyrov, Alisher Mukhamedzhanov, A. Savin, D. Extrapolation of scattering data to the negative-energy region |
| title | Extrapolation of scattering data to the negative-energy region |
| title_full | Extrapolation of scattering data to the negative-energy region |
| title_fullStr | Extrapolation of scattering data to the negative-energy region |
| title_full_unstemmed | Extrapolation of scattering data to the negative-energy region |
| title_short | Extrapolation of scattering data to the negative-energy region |
| title_sort | extrapolation of scattering data to the negative-energy region |
| url | http://hdl.handle.net/20.500.11937/53307 |