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High-energy approximations to nuclear scattering
We study high-energy approximations to nuclear scattering. These are based on expansions of the free-particle propagator. We distinguish the eikonal expansion and the Fresnel expansion and interpret their physical meaning in optical terms. A "Fresnel approximation" is defined as a partial sum of...
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| Format: | Thesis |
| Language: | English |
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Department of Physics
2016
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| _version_ | 1867613754669137920 |
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| access_status_str | Open Access |
| author | Schürmann, Bernd |
| author2 | Frahn, W E |
| author_browse | Frahn, W E Schürmann, Bernd |
| author_facet | Frahn, W E Schürmann, Bernd |
| author_sort | Schürmann, Bernd |
| collection | Thesis |
| description | We study high-energy approximations to nuclear scattering. These are based on expansions of the free-particle propagator. We distinguish the eikonal expansion and the Fresnel expansion and interpret their physical meaning in optical terms. A "Fresnel approximation" is defined as a partial sum of the eikonal expansion which describes Fresnel diffraction effects. In Fresnel approximation we derive, by means of a unitary transformation, a closed representation of the scattering amplitude which is formally similar to the corresponding expression irt Glauber's high-energy scattering theory. The corrections to the Glauber model of first order in the reciprocal wave number are given by the second-order eikbnal approximation. These are evaluated explicitly for high energy elastic scattering of protons from light nuclei (⁴He, ¹²C, ¹⁶O). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/17740 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:41:10.795Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Physics |
| publisherStr | Department of Physics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/17740 High-energy approximations to nuclear scattering Schürmann, Bernd Frahn, W E Physics Nuclear Physics We study high-energy approximations to nuclear scattering. These are based on expansions of the free-particle propagator. We distinguish the eikonal expansion and the Fresnel expansion and interpret their physical meaning in optical terms. A "Fresnel approximation" is defined as a partial sum of the eikonal expansion which describes Fresnel diffraction effects. In Fresnel approximation we derive, by means of a unitary transformation, a closed representation of the scattering amplitude which is formally similar to the corresponding expression irt Glauber's high-energy scattering theory. The corrections to the Glauber model of first order in the reciprocal wave number are given by the second-order eikbnal approximation. These are evaluated explicitly for high energy elastic scattering of protons from light nuclei (⁴He, ¹²C, ¹⁶O). 2016-03-14T07:26:01Z 2016-03-14T07:26:01Z 1973 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/17740 eng application/pdf Department of Physics Faculty of Science University of Cape Town |
| spellingShingle | Physics Nuclear Physics Schürmann, Bernd High-energy approximations to nuclear scattering |
| thesis_degree_str | Doctoral |
| title | High-energy approximations to nuclear scattering |
| title_full | High-energy approximations to nuclear scattering |
| title_fullStr | High-energy approximations to nuclear scattering |
| title_full_unstemmed | High-energy approximations to nuclear scattering |
| title_short | High-energy approximations to nuclear scattering |
| title_sort | high energy approximations to nuclear scattering |
| topic | Physics Nuclear Physics |
| url | http://hdl.handle.net/11427/17740 |
| work_keys_str_mv | AT schurmannbernd highenergyapproximationstonuclearscattering |