Variational Monte Carlo study of light nuclei

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...

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Format:	Thesis
Language:	English
Subjects:	Variational principles Quantum chromodynamics Variational Monte Carlo (VMC)
Online Access:	http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/1/Page%201-24.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/2/Full%20text.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/4/Khairul%20Anwar.pdf
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id	my-unimap-78194
record_format	uketd_dc
spelling	my-unimap-781942023-03-23T03:02:09Z Variational Monte Carlo study of light nuclei Zaliman, Sauli, Prof. Dr. 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 Universiti Malaysia Perlis (UniMAP) Thesis en http://dspace.unimap.edu.my:80/xmlui/handle/123456789/78194 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/3/license.txt 8a4605be74aa9ea9d79846c1fba20a33 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/1/Page%201-24.pdf 828d039f8ddbba62b8cbf4b909ba43e8 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/2/Full%20text.pdf 4f20904138effa6a82bc4416663dac90 http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/4/Khairul%20Anwar.pdf cb1a8697bd298b6315435d3fe31ef381 Universiti Malaysia Perlis (UniMAP) Variational principles Quantum chromodynamics Variational Monte Carlo (VMC) Institute of Engineering Mathematics
institution	Universiti Malaysia Perlis
collection	UniMAP Institutional Repository
language	English
advisor	Zaliman, Sauli, Prof. Dr.
topic	Variational principles Quantum chromodynamics Variational Monte Carlo (VMC)
spellingShingle	Variational principles Quantum chromodynamics Variational Monte Carlo (VMC) Variational Monte Carlo study of light nuclei
description	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
format	Thesis
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
granting_institution	Universiti Malaysia Perlis (UniMAP)
granting_department	Institute of Engineering Mathematics
url	http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/1/Page%201-24.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/2/Full%20text.pdf http://dspace.unimap.edu.my:80/xmlui/bitstream/123456789/78194/4/Khairul%20Anwar.pdf
_version_	1776104266241409024

Variational Monte Carlo study of light nuclei

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