Improved variational many-body wave function in light nuclei

Q. N. Usmani, A. Singh, K. Anwar, and G. Rawitscher
Phys. Rev. C 80, 034309 – Published 10 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.

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  • Received 29 May 2009

DOI:https://doi.org/10.1103/PhysRevC.80.034309

©2009 American Physical Society

Authors & Affiliations

Q. N. Usmani1,*, A. Singh2, K. Anwar1, and G. Rawitscher3

  • 1Institute of Engineering Mathematics, University Malaysia Perlis, Malaysia
  • 2Department of Physics, School of Technology, Kalinga Institute of Industrial Technology, Bhubaneswar 751 024, India
  • 3Department of Physics, University of Connecticut, Storrs, Connecticut 06269-3046, USA

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Issue

Vol. 80, Iss. 3 — September 2009

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