Shell Model Monte Carlo Methods

Details Shell Model Monte Carlo Methods Shell Model Monte Carlo Methods

1996-02-05

arxiv.org/abs/nucl-th/9602006v1

Phys.Rept. 278 (1997) 1-77

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1007/BFb0104366

We review quantum Monte Carlo methods for dealing with large shell model problems. 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. We first discuss the motivation, formalism, and implementation of such Shell Model Monte Carlo (SMMC) methods. There then follows a sampler of 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. Finally, prospects for further progress in such calculations are discussed.

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