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Variational Monte Carlo study of light nuclei

Doctor of Philosophy in Theoretical Physics

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Bibliographic Details
Main Author: Khairul Anwar, Mohamad Khazali
Other Authors: Zaliman, Sauli, Prof. Dr.
Format: Thesis
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2015
Subjects:
Variational principles
Quantum chromodynamics
Variational Monte Carlo (VMC)
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/78194
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spelling my.unimap-781942023-03-23T03:02:09Z Variational Monte Carlo study of light nuclei Khairul Anwar, Mohamad Khazali Zaliman, Sauli, Prof. Dr. Variational principles Quantum chromodynamics Variational Monte Carlo (VMC) Doctor of Philosophy in Theoretical Physics An outstanding problem in Variational Monte Carlo (VMC) calculations with realistic interactions like Argonne V18 and Urbana IX three-body interactions is that p-shell nuclei turn out to be grossly under bound as compared to the Green’s Function Monte Carlo (GFMC) calculations. A similar situation exists in Diffusion Monte Carlo calculations with somewhat simplified interactions. In this thesis, we improve upon the VMC calculations by bringing about several variations in the established procedure of performing variational calculations. In the first variation, the effect of the errors as a function of the number of particles in the variational wave function are analyzed and then a correction through expanding the radial part in terms of a complete set are made and treat the expansion coefficients as variational parameters. Second variation consists in modifying the variational wave function structure. The state of the art variational wave function for s- and p-shell nuclei consists of two parts, where the first part is a Jastrow part operated upon by a symmetrized sum of two-body operatorial correlations and in the second part this outcome is then operated by a sum of unity, operatorial threebody and spin-orbit two-body correlations. A considerable improvement is obtained over the binding energies, wave functions and variance for the light nuclei 3H, 4He and 6Li by using these two variations. We obtain noticeable improvement in the quality of the wave function and lowering of the energies compared to earlier results. The new energies are –8.38 MeV, –28.07 MeV and –29.90 MeV for 3H, 4He, and 6Li respectively. All the computations have been taken away on a multiprocessor machine developed indigenously 2015 2023-03-23T03:00:18Z 2023-03-23T03:00:18Z Thesis http://dspace.unimap.edu.my:80/xmlui/handle/123456789/78194 en Universiti Malaysia Perlis (UniMAP) Universiti Malaysia Perlis (UniMAP) Institute of Engineering Mathematics
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Variational principles
Quantum chromodynamics
Variational Monte Carlo (VMC)
spellingShingle Variational principles
Quantum chromodynamics
Variational Monte Carlo (VMC)
Khairul Anwar, Mohamad Khazali
Variational Monte Carlo study of light nuclei
description Doctor of Philosophy in Theoretical Physics
author2 Zaliman, Sauli, Prof. Dr.
author_facet Zaliman, Sauli, Prof. Dr.
Khairul Anwar, Mohamad Khazali
format Thesis
author Khairul Anwar, Mohamad Khazali
author_sort Khairul Anwar, Mohamad Khazali
title Variational Monte Carlo study of light nuclei
title_short Variational Monte Carlo study of light nuclei
title_full Variational Monte Carlo study of light nuclei
title_fullStr Variational Monte Carlo study of light nuclei
title_full_unstemmed Variational Monte Carlo study of light nuclei
title_sort variational monte carlo study of light nuclei
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2015
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/78194
_version_ 1772813093615697920
score 13.214268

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