Monte Carlo Methods for Nuclear Structure

Details Monte Carlo Methods for Nuclear Structure Monte Carlo Methods for Nuclear Structure

1995-09-26

arxiv.org/abs/nucl-th/9509038v2

Physics

Nuclear Physics

Nuclear Theory

14 pages, 12 figures available at http://www.krl.caltech.edu/preprints/MAP.html

Scientific paper

Quantum Monte Carlo methods find fruitful application in large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in a fluctuating one-body field; the resultant path integral is evaluated stochastically. After a brief review of the capabilities and general strategy of Shell Model Monte Carlo methods, I discuss results and insights obtained from a number of applications. These include the ground state and thermal properties of {\it pf}-shell nuclei, the thermal and rotational behavior of rare-earth and $\gamma$-soft nuclei, and the calculation of double beta-decay matrix elements. Prospects for further progress in such calculations are also discussed.

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