Variational Monte Carlo study of light nuclei

Khairul Anwar Mohamad Khazali

Publication:

Variational Monte Carlo study of light nuclei

cris.virtual.department	Universiti Malaysia Perlis
cris.virtualsource.department	89ba227f-aaca-4c7f-9bfb-c0a5f57c504c
dc.contributor.author	Khairul Anwar Mohamad Khazali
dc.date.accessioned	2024-04-05T07:02:20Z
dc.date.available	2024-04-05T07:02:20Z
dc.date.issued	2015
dc.description.abstract	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
dc.identifier.uri	https://hdl.handle.net/20.500.14170/2104
dc.language.iso	en
dc.subject	Variational principles
dc.subject	Quantum chromodynamics
dc.subject	Variational Monte Carlo (VMC)
dc.title	Variational Monte Carlo study of light nuclei
dc.type	Resource Types::text::thesis::doctoral thesis
dspace.entity.type	Publication
oairecerif.author.affiliation	Universiti Malaysia Perlis