5 papers
Practical solution to the Monte Carlo sign problem: Realistic calculations of 54Fe
Y. Alhassid, D. J. Dean, S. E. Koonin +2
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…
Shell model Monte Carlo calculations for Dy-170
D. J. Dean, S. E. Koonin, G. H. Lang +2
We present the first auxiliary field Monte Carlo calculations for a rare earth nucleus, Dy-170. A pairing plus quadrupole Hamiltonian is used to demonstrate the physical properties…
Demonstration of the auxiliary-field Monte Carlo approach for sd-shell nuclei
W. E. Ormand, D. J. Dean, C. W. Johnson +2
We apply the auxiliary-field Monte Carlo approach to the nuclear shell model in the 1s-0d configuration space. The Hamiltonian was chosen to have isovector pairing and isoscalar mu…
Monte Carlo evaluation of path integrals for the nuclear shell model
G. H. Lang, C. W. Johnson, S. E. Koonin +1
We present in detail a formulation of the shell model as a path integral and Monte Carlo techniques for its evaluation. The formulation, which linearizes the two-body interaction b…
Monte Carlo methods for the nuclear shell model
C. W. Johnson, S. E. Koonin, G. H. Lang +1
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…