# 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:

- 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}

}