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A microscopic description of elastic scattering from unstable nuclei within a relativistic framework

Thesis (PhD)--Stellenbosch University, 2018.

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Main Author: Yahya, Wasiu Akanni
Other Authors: Van der Ventel, B. I. S.
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2018
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access_status_str Open Access
author Yahya, Wasiu Akanni
author2 Van der Ventel, B. I. S.
author_browse Van der Ventel, B. I. S.
Yahya, Wasiu Akanni
author_facet Van der Ventel, B. I. S.
Yahya, Wasiu Akanni
author_sort Yahya, Wasiu Akanni
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (PhD)--Stellenbosch University, 2018.
format Thesis
id oai:scholar.sun.ac.za:10019.1/103588
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:44:25.612Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2018
publishDateRange 2018
publishDateSort 2018
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/103588 A microscopic description of elastic scattering from unstable nuclei within a relativistic framework Yahya, Wasiu Akanni Van der Ventel, B. I. S. Bark, R. A. Stellenbosch University. Faculty of Science. Dept. of Physics. Relativistic mean field (RMF) theory Scatterings (Physics) Elastic scatterings Protons -- Scattering Relativistic formalisms Unstable nuclei UCTD Thesis (PhD)--Stellenbosch University, 2018. ENGLISH SUMMARY: In this dissertation, a microscopic study of proton elastic scattering from unstable nuclei at intermediate energies using relativistic formalisms is presented. We have employed both the original relativistic impulse approximation (IA1) and the generalised relativistic impulse approximation (IA2) formalisms to calculate the relativistic optical potentials, with target densities derived from relativistic mean field (RMF) theory using the QHD-II, NL3, and FSUGold parameter sets. Comparisons between the optical potentials computed using both IA1 and IA2 formalisms, and the different RMF Lagrangians are presented for both stable and unstable targets. The comparisons are required to study the effect of using IA1 versus IA2 optical potentials, with different RMF parameter sets, on elastic scattering observables for unstable targets at intermediate energies. We also study the effect of full-folding versus factorized form of the optical potentials on elastic scattering observables. As with the case for stable nuclei, we found that the use of full-folding optical potential improves the scattering observables (especially spin observables) at low intermediate energy (e.g. 200MeV). No discernible difference is found at projectile incident energy of 500 MeV. To check the validity of using localized optical potential, we calculate the scattering observables using non-local potentials by solving the momentum space Dirac equation. The Dirac equation is transformed to two coupled Lippmann-Schwinger equations, which are then numerically solved to obtain the elastic scattering observables. The results are discussed and compared to calculations involving local coordinate-space optical potentials. AFRIKAANSE OPSOMMING: In hierdie proefskrif word ’n mikroskopiese model vir elastiese proton verstrooiing van onstabiele kerne ondersoek deur gebruik te maak van ’n relatiwistiese formulering. Die NN interaksie word beskryf deur die sogenaamde IA1 en IA2 modelle. Die kernstruktuur word beskryf deur gebruik te maak van drie verskillende relatiwistiese gemiddelde-veld modelle, naamlik QHDII, NL3 en FSUGold. Die optiese kernpotensiaal word bereken met behulp van die IA1 en IA2 NN interaksies sowel as die drie verskillende kernstruktuur modelle, QHDII, NL3 en FSUGold. Sodoende kan ’n volledige stel verstrooiingswaarneembares bereken word vir elastiese verstrooiing van onstabiele kerne. Die kern optiesepotensiaal word ook op twee maniere bereken, naamlik die optimale faktoriseringsmetode en die volle oorvleuelingsmodel. Vir lae energie van die orde van 200 MeV, gee volle oorvleuelingsmodel ’n verbetering in die resultate van die spinwaarneembares. By ’n projektielenergie van ongeveer 500 MeV is daar egter geen beduidende verskil tussen hierdie twee metodes nie. Die Dirac vergelyking in momentum-ruimte word ook opgelos om ’n nie-lokale optiese kernpotensiaal te bereken. Die Dirac vergelyking word herskryf in terme van twee gekoppelde Lippmann-Schwinger vergelykings wat dan opgelos word om die elastiese spinwaarneembares te bepaal. Die resultate van hierdie berekening word dan bespreek en word vergelyk met berekeninge wat gedoen word vir lokale kern optiesepotensiale in posisie-ruimte. Doctoral 2018-02-23T10:45:18Z 2018-04-09T07:02:30Z 2018-02-23T10:45:18Z 2018-04-09T07:02:30Z 2018-03 Thesis http://hdl.handle.net/10019.1/103588 en_ZA Stellenbosch University xii, 127 pages application/pdf Stellenbosch : Stellenbosch University
spellingShingle Relativistic mean field (RMF) theory
Scatterings (Physics)
Elastic scatterings
Protons -- Scattering
Relativistic formalisms
Unstable nuclei
UCTD
Yahya, Wasiu Akanni
A microscopic description of elastic scattering from unstable nuclei within a relativistic framework
title A microscopic description of elastic scattering from unstable nuclei within a relativistic framework
title_full A microscopic description of elastic scattering from unstable nuclei within a relativistic framework
title_fullStr A microscopic description of elastic scattering from unstable nuclei within a relativistic framework
title_full_unstemmed A microscopic description of elastic scattering from unstable nuclei within a relativistic framework
title_short A microscopic description of elastic scattering from unstable nuclei within a relativistic framework
title_sort microscopic description of elastic scattering from unstable nuclei within a relativistic framework
topic Relativistic mean field (RMF) theory
Scatterings (Physics)
Elastic scatterings
Protons -- Scattering
Relativistic formalisms
Unstable nuclei
UCTD
url http://hdl.handle.net/10019.1/103588
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