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

Journal Article · Tue Mar 01 00:00:00 EST 1994 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.49.1422· OSTI ID:142667

Ormand, W E; Dean, D J; Johnson, C W; Lang, G H; Koonin, S E ^[1]

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1. W. K. Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125 (United States)

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.

• OSTI ID: 142667
• Journal Information: Physical Review, C, Vol. 49, Issue 3; Other Information: PBD: Mar 1994
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SHELL MODELS
MONTE CARLO METHOD
NEON 22
RESPONSE FUNCTIONS
HAMILTONIANS