dorsal/arxiv
View SchemaDemonstration of the auxiliary-field Monte Carlo approach for sd-shell nuclei
| Authors | W. E. Ormand, D. J. Dean, C. W. Johnson, G. H. Lang, S. E. Koonin |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9307018 |
| URL | https://arxiv.org/abs/nucl-th/9307018 |
| DOI | 10.1103/PhysRevC.49.1422 |
| Journal | Phys.Rev.C49:1422-1427,1994 |
Abstract
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 multipole-multipole interactions, and the calculations were performed within the fixed-particle, canonical ensemble. The results demonstrate the feasibility of the method for $N\neq Z$ even-even and odd-odd N=Z nuclei. In particular, static observables for even-even Ne isotopes and Na-22 compare well with results obtained from exact diagonalization of the Hamiltonian. Response functions are presented for Ne-22 and compared with exact results, and the viability of cranked calculations for $N\neq Z$ even-even nuclei is addressed. We present methods for computing observables in the canonical ensemble using Fourier extraction, and for determining the nuclear shape.
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"abstract": "We apply the auxiliary-field Monte Carlo approach to the nuclear shell model\nin the 1s-0d configuration space. The Hamiltonian was chosen to have isovector\npairing and isoscalar multipole-multipole interactions, and the calculations\nwere performed within the fixed-particle, canonical ensemble. The results\ndemonstrate the feasibility of the method for $N\\neq Z$ even-even and odd-odd\nN=Z nuclei. In particular, static observables for even-even Ne isotopes and\nNa-22 compare well with results obtained from exact diagonalization of the\nHamiltonian. Response functions are presented for Ne-22 and compared with exact\nresults, and the viability of cranked calculations for $N\\neq Z$ even-even\nnuclei is addressed. We present methods for computing observables in the\ncanonical ensemble using Fourier extraction, and for determining the nuclear\nshape.",
"arxiv_id": "nucl-th/9307018",
"authors": [
"W. E. Ormand",
"D. J. Dean",
"C. W. Johnson",
"G. H. Lang",
"S. E. Koonin"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.49.1422",
"journal_ref": "Phys.Rev.C49:1422-1427,1994",
"title": "Demonstration of the auxiliary-field Monte Carlo approach for sd-shell nuclei",
"url": "https://arxiv.org/abs/nucl-th/9307018"
},
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