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Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock

The objective of this research is to study the relevance of the Slater approximation in calculating the exchange term of the Coulomb energy in atomic nuclei. The present motivation for calculating exactly the exchange part of the Coulomb energy was related to the need to obtain an accurate total nuc...

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Main Author: Koh, Meng Hock
Format: Thesis
Published: 2011
Subjects:
QC Physics
Online Access:http://studentsrepo.um.edu.my/3896/1/1._Title_page%2C_abstract%2C_content.pdf
http://studentsrepo.um.edu.my/3896/2/c_1_%26_2_intro_%26_THEORETICAL_BACKGROUND.pdf
http://studentsrepo.um.edu.my/3896/3/c_3_methodology.pdf
http://studentsrepo.um.edu.my/3896/4/c_4_%26_5_results%2C_discussion%2C_conclusion.pdf
http://studentsrepo.um.edu.my/3896/5/references_%26_appendices.pdf
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spelling my.um.stud.38962013-09-24T03:51:18Z Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock Koh, Meng Hock QC Physics The objective of this research is to study the relevance of the Slater approximation in calculating the exchange term of the Coulomb energy in atomic nuclei. The present motivation for calculating exactly the exchange part of the Coulomb energy was related to the need to obtain an accurate total nuclear energy. This is important, in particular as far as the (relative) deformation energy is concerned. For instance, when calculating the fission barriers, the Coulomb energy term (apart from the surface energy) needs to be calculated as precisely as possible. The Hartree-Fock method was employed to defined self-consistently the mean field together with the Bardeen, Cooper and Schrieffer (BCS) method to treat self-consistently the pairing interaction among nucleons of the same charge. For that purpose, we have used a phenomenological Skryme interaction for the effective strong nucleon-nucleon interaction and a seniority force to generate pairing correlations. The results show that the Slater approximation is quite good in general relative terms. It was found as expected to be less good for light nuclei than for heavy ones. As an important new result, we have shown that it was very significantly better for non closed proton shell nuclei than for proton closed shell ones. This has been readily interpreted as a clean-cut correlation between the proton level density near the Fermi level and the appropriateness of the Slater approximation. 2011 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/3896/1/1._Title_page%2C_abstract%2C_content.pdf application/pdf http://studentsrepo.um.edu.my/3896/2/c_1_%26_2_intro_%26_THEORETICAL_BACKGROUND.pdf application/pdf http://studentsrepo.um.edu.my/3896/3/c_3_methodology.pdf application/pdf http://studentsrepo.um.edu.my/3896/4/c_4_%26_5_results%2C_discussion%2C_conclusion.pdf application/pdf http://studentsrepo.um.edu.my/3896/5/references_%26_appendices.pdf http://pendeta.um.edu.my/client/default/search/results?qu=Slater+approximation+of+Coulomb+exchange+energy+in+heavy+nuclei&te= Koh, Meng Hock (2011) Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock. Masters thesis, University of Malaya. http://studentsrepo.um.edu.my/3896/
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Student Repository
url_provider http://studentsrepo.um.edu.my/
topic QC Physics
spellingShingle QC Physics
Koh, Meng Hock
Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock
description The objective of this research is to study the relevance of the Slater approximation in calculating the exchange term of the Coulomb energy in atomic nuclei. The present motivation for calculating exactly the exchange part of the Coulomb energy was related to the need to obtain an accurate total nuclear energy. This is important, in particular as far as the (relative) deformation energy is concerned. For instance, when calculating the fission barriers, the Coulomb energy term (apart from the surface energy) needs to be calculated as precisely as possible. The Hartree-Fock method was employed to defined self-consistently the mean field together with the Bardeen, Cooper and Schrieffer (BCS) method to treat self-consistently the pairing interaction among nucleons of the same charge. For that purpose, we have used a phenomenological Skryme interaction for the effective strong nucleon-nucleon interaction and a seniority force to generate pairing correlations. The results show that the Slater approximation is quite good in general relative terms. It was found as expected to be less good for light nuclei than for heavy ones. As an important new result, we have shown that it was very significantly better for non closed proton shell nuclei than for proton closed shell ones. This has been readily interpreted as a clean-cut correlation between the proton level density near the Fermi level and the appropriateness of the Slater approximation.
format Thesis
author Koh, Meng Hock
author_facet Koh, Meng Hock
author_sort Koh, Meng Hock
title Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock
title_short Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock
title_full Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock
title_fullStr Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock
title_full_unstemmed Slater approximation of Coulomb exchange energy in heavy nuclei / Koh Meng Hock
title_sort slater approximation of coulomb exchange energy in heavy nuclei / koh meng hock
publishDate 2011
url http://studentsrepo.um.edu.my/3896/1/1._Title_page%2C_abstract%2C_content.pdf
http://studentsrepo.um.edu.my/3896/2/c_1_%26_2_intro_%26_THEORETICAL_BACKGROUND.pdf
http://studentsrepo.um.edu.my/3896/3/c_3_methodology.pdf
http://studentsrepo.um.edu.my/3896/4/c_4_%26_5_results%2C_discussion%2C_conclusion.pdf
http://studentsrepo.um.edu.my/3896/5/references_%26_appendices.pdf
http://pendeta.um.edu.my/client/default/search/results?qu=Slater+approximation+of+Coulomb+exchange+energy+in+heavy+nuclei&te=
http://studentsrepo.um.edu.my/3896/
_version_ 1738505620833697792
score 13.211869

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