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Published December 1997 | Published
Journal Article Open

Results from Shell-Model Monte Carlo studies

Abstract

We review results obtained using Shell-Model Monte Carlo (SMMC) techniques. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. After a brief review of the methods, we discuss a variety of nuclear-physics applications. These include studies of the ground-state properties of pf-shell nuclei, Gamow-Teller strength distributions, thermal and rotational pairing properties of nuclei near N = Z, γ-soft nuclei, and ββ-decay in ⁷⁶Ge. Several other illustrative calculations are also reviewed. Finally, we discuss prospects for further progress in SMMC and related calculations.

Additional Information

The US Government has the right to retain a non-exclusive, royalty-free license in and to any copyright covering this paper. The work discussed above is the culmination of the efforts of many people, including Y. Alhassid, C. Johnson, G. Lang, E. Ormand, P. B. Radha, P. Vogel, and more recently M. T. Ressell and J. White. This work was supported in part by the National Science Foundation, Grants No. PHY94-12818 and PHY94-20470. Oak Ridge National Laboratory (ORNL) is managed by Lockheed Martin Energy Research Corp. for the U.S. Department of Energy under contract number DE-AC05-96OR22464. DJD acknowledges an E. P. Wigner Fellowship from ORNL. Computational resources were provided by the Center for Advanced Computational Research at Caltech, the Maui High-Performance Computing Center, The RIKEN computer center, and Center for Computational Sciences at ORNL.

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