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Title: Demonstration of the auxiliary-field Monte Carlo approach for {ital sd}-shell nuclei

Abstract

We apply the auxiliary-field Monte Carlo approach to the nuclear shell model in the 1{ital s}-0{ital d} configuration space. The Hamiltonian was chosen to have isovector pairing and isoscalar multipole-multipole interactions, and the calculations were performed within the fixed-particle, canonical ensemble. The results demonstrate the feasibility of the method for {ital N}{ne}{ital Z} even-even and odd-odd {ital N}={ital Z} nuclei. In particular, static observables for even-even Ne isotopes and {sup 22}Na compare well with results obtained from exact diagonalization of the Hamiltonian. Response functions are presented for {sup 22}Ne and compared with exact results, and the viability of cranked calculations for {ital N}{ne}{ital Z} even-even nuclei is addressed. We present methods for computing observables in the canonical ensemble using Fourier extraction, and for determining the nucelar shape.

Authors:
; ; ; ;  [1]
  1. W. K. Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125 (United States)
Publication Date:
OSTI Identifier:
142667
Resource Type:
Journal Article
Journal Name:
Physical Review, C
Additional Journal Information:
Journal Volume: 49; Journal Issue: 3; Other Information: PBD: Mar 1994
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; SHELL MODELS; MONTE CARLO METHOD; NEON 22; RESPONSE FUNCTIONS; HAMILTONIANS

Citation Formats

Ormand, W.E., Dean, D.J., Johnson, C.W., Lang, G.H., and Koonin, S.E. Demonstration of the auxiliary-field Monte Carlo approach for {ital sd}-shell nuclei. United States: N. p., 1994. Web. doi:10.1103/PhysRevC.49.1422.
Ormand, W.E., Dean, D.J., Johnson, C.W., Lang, G.H., & Koonin, S.E. Demonstration of the auxiliary-field Monte Carlo approach for {ital sd}-shell nuclei. United States. doi:10.1103/PhysRevC.49.1422.
Ormand, W.E., Dean, D.J., Johnson, C.W., Lang, G.H., and Koonin, S.E. Tue . "Demonstration of the auxiliary-field Monte Carlo approach for {ital sd}-shell nuclei". United States. doi:10.1103/PhysRevC.49.1422.
@article{osti_142667,
title = {Demonstration of the auxiliary-field Monte Carlo approach for {ital sd}-shell nuclei},
author = {Ormand, W.E. and Dean, D.J. and Johnson, C.W. and Lang, G.H. and Koonin, S.E.},
abstractNote = {We apply the auxiliary-field Monte Carlo approach to the nuclear shell model in the 1{ital s}-0{ital d} configuration space. The Hamiltonian was chosen to have isovector pairing and isoscalar multipole-multipole interactions, and the calculations were performed within the fixed-particle, canonical ensemble. The results demonstrate the feasibility of the method for {ital N}{ne}{ital Z} even-even and odd-odd {ital N}={ital Z} nuclei. In particular, static observables for even-even Ne isotopes and {sup 22}Na compare well with results obtained from exact diagonalization of the Hamiltonian. Response functions are presented for {sup 22}Ne and compared with exact results, and the viability of cranked calculations for {ital N}{ne}{ital Z} even-even nuclei is addressed. We present methods for computing observables in the canonical ensemble using Fourier extraction, and for determining the nucelar shape.},
doi = {10.1103/PhysRevC.49.1422},
journal = {Physical Review, C},
number = 3,
volume = 49,
place = {United States},
year = {1994},
month = {3}
}