Variational Monte Carlo for Microscopic Cluster Models

Details Variational Monte Carlo for Microscopic Cluster Models Variational Monte Carlo for Microscopic Cluster Models

2004-06-15

arxiv.org/abs/nucl-th/0406048v1

Int.J.Mod.Phys. C15 (2004) 1329-1352

Physics

Nuclear Physics

Nuclear Theory

20 pages, 6 figures

Scientific paper

10.1142/S0129183104006753

We examine the application of the Variational Monte Carlo (VMC) method to a cluster model for halo nuclei. Particular attention is paid to the error estimate in the presence of correlations in the underlying random walk. We analyse the required steps for a reliable application of the VMC in the case of a complicated many-body problem such as the direct solution of the nuclear hamiltonian with realistic interactions. We also examine the possibility of variance reduction through the `zero variance principle', paying particular attention to the complexity of the many-body problem.

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