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Please use this identifier to cite or link to this item: http://dspace.unimap.edu.my:80/xmlui/handle/123456789/9033

Title: Improved variational many-body wave function in light nuclei
Authors: Qamar Nasir, Usmani, Prof. Dr.
Singh, A.
Khairul Anwar, Mohamad Khazali
Rawitscher, G.
Keywords: Light nuclei;Variational wave function;Many-body system
Issue Date: 10-Sep-2009
Publisher: American Physical Society
Citation: Physical Review C - Nuclear Physics, vol.80(3), September 2009
Abstract: We propose and implement a simple method for improving the variational wave function of a many-body system. We have obtained a significant improvement in the binding energies, wave functions, and variance for the light nuclei H3, He4, and Li6, using the fully realistic Argonne (AV18) two-body and Urbana-IX (UIX) three-body interactions. The energy of He4 was improved by about 0.2 MeV and the Li6 binding energy was increased by ≈ 1.7 MeV compared to earlier variational Monte Carlo results. The latter result demonstrates the significant progress achieved by our method, and detailed analyses of the improved results are given. With central interactions the results are found to be in agreement with the "exact" calculations. Our study shows that the relative error in the many-body wave functions, compared to two-body pair correlations, increases rapidly at least proportionally to the number of pairs in the system. However, this error does not increase indefinitely since the pair interactions saturate owing to convergence of cluster expansion.
Description: Link to publisher's homepage at http://www.aps.org/
URI: http://link.aps.org/doi/10.1103/PhysRevC.80.034309
ISSN: 0556-2813
Appears in Collections:Khairul Anwar Mohamad Khazali
School of Microelectronic Engineering (Articles)
Institute of Engineering Mathematics (Articles)

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