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Phys. Rev. Lett. 72, 613–616 (1994)

Practical solution to the Monte Carlo sign problem: Realistic calculations of 54Fe

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Y. Alhassid, D. J. Dean, S. E. Koonin, G. Lang, and W. E. Ormand
W. K. Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125

Received 20 October 1993; published in the issue dated 31 January 1994

We present a practical solution to the ‘‘sign problem’’ in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the resultant ability to treat large shell-model problems, we present results for the 54Fe in the full fp-shell basis using the Brown-Richter interaction. We find the Gamow-Teller β+ strength to be quenched by 58% relative to the single-particle estimate, in better agreement with experiment than previous estimates based on truncated bases.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.72.613
DOI:
10.1103/PhysRevLett.72.613
PACS:
21.60.Cs, 21.60.Ka, 27.40.+z