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Jost-matrix analysis of nuclear scattering data
Thesis (PhD)--University of Pretoria, 2020.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2020
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| _version_ | 1867613694674862080 |
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| access_status_str | Open Access |
| author2 | Rakitianski, Sergei A. |
| author_browse | Rakitianski, Sergei A. |
| author_facet | Rakitianski, Sergei A. |
| collection | Thesis |
| dc_rights_str_mv | © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Thesis (PhD)--University of Pretoria, 2020. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/75605 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:40:13.301Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2020 |
| publishDateRange | 2020 |
| publishDateSort | 2020 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/75605 Jost-matrix analysis of nuclear scattering data Rakitianski, Sergei A. vaandrager.pv@gmail.com Vaandrager, Paul Quantum few-body physics Scattering theory Nuclear physics UCTD Thesis (PhD)--University of Pretoria, 2020. The analysis of scattering data is usually done by fitting the S-matrix at real experimental energies. An analytic continuation to complex and negative energies must then be performed to locate possible resonances and bound states, which correspond to poles of the S-matrix. Difficulties in the analytic continuation arise since the S-matrix is energy dependent via the momentum, k and the Sommerfeld parameter, η, which makes it multi-valued. In order to circumvent these difficulties, in this work, the S-matrix is written in a semi-analytic form in terms of the Jost matrices, which can be given as a product of known functions dependent on k and η, and unknown functions that are entire and singled-valued in energy. The unknown functions are approximated by truncated Taylor series where the expansion coefficients serve as the data-fitting parameters. The proper analytic structure of the S-matrix is thus maintained. This method is successfully tested with data generated by a model scattering potential. It is then applied to α12C scattering, where resonances of 16O in the quantum states Jρ =0+, 1−, 2+, 3−, and 4+ are located. The parameters of these resonances are accurately determined, as well as the corresponding S-matrix residues and Asymptotic Normalisation Coefficients, relevant to astrophysics. The method is also applied to dα scattering to determine the bound and resonance state parameters, corresponding S-matrix residues and Asymptotic Normalisation Coefficients of 6Li in the 1+, 2+, 3+, 2−, and 3− states. National Research Foundation (NRF) Physics PhD Unrestricted 2020-08-07T10:41:39Z 2020-08-07T10:41:39Z 2020-09 2020 Thesis Vaandrager, P 2020, Jost-matrix analysis of nuclear scattering data, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/75605> http://hdl.handle.net/2263/75605 en © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | Quantum few-body physics Scattering theory Nuclear physics UCTD Jost-matrix analysis of nuclear scattering data |
| title | Jost-matrix analysis of nuclear scattering data |
| title_full | Jost-matrix analysis of nuclear scattering data |
| title_fullStr | Jost-matrix analysis of nuclear scattering data |
| title_full_unstemmed | Jost-matrix analysis of nuclear scattering data |
| title_short | Jost-matrix analysis of nuclear scattering data |
| title_sort | jost matrix analysis of nuclear scattering data |
| topic | Quantum few-body physics Scattering theory Nuclear physics UCTD |
| url | http://hdl.handle.net/2263/75605 |