Monte Carlo methods for the nuclear shell model

Details Monte Carlo methods for the nuclear shell model Monte Carlo methods for the nuclear shell model

1992-10-20

arxiv.org/abs/nucl-th/9210014v1

Phys.Rev.Lett.69:3157-3160,1992

Physics

Nuclear Physics

Nuclear Theory

13 pages, MAP-148

Scientific paper

10.1103/PhysRevLett.69.3157

We present novel Monte Carlo methods for treating the interacting shell model that allow exact calculations much larger than those heretofore possible. The two-body interaction is linearized by an auxiliary field; Monte Carlo evaluation of the resulting functional integral gives ground-state or thermal expectation values of few-body operators. The ``sign problem'' generic to quantum Monte Carlo calculations is absent in a number of cases. We discuss the favorable scaling of these methods with nucleon numb er and basis size and their suitability to parallel computation.

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