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Published November 30, 1992 | Published
Journal Article Open

Monte Carlo methods for the nuclear shell model


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 number and basis size and their suitability to parallel computation.

Additional Information

© 1992 The American Physical Society Received 31 August 1992 We are grateful for discussions with other members of the Caltech nuclear theory group. C.W. Johnson and W.E. Ormand acknowledge Caltech Divisional and DuBridge postdoctoral fellowships, respectively. This work was supported in part by the National Science Foundation (Grants No. PHY90-13248 and No. PHY91-15574).

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