dorsal/arxiv
View SchemaProjected multicluster model with Jastrow and linear state dependent correlations for $12 \leq A \leq 16$ nuclei
| Authors | E. Buendia, F. J. Galvez, A. Sarsa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405027 |
| URL | https://arxiv.org/abs/nucl-th/0405027 |
| DOI | 10.1103/PhysRevC.70.054315 |
| Journal | Phys.Rev. C70 (2004) 054315 |
Abstract
Variational wave functions based on a Margenau-Brink cluster model with short range and state dependent correlations, and angular momentum projection are obtained for some nuclei with $12 \leq A \leq 16$. The calculations have been carried out starting from the nucleon-nucleon interaction by using the Variational Monte Carlo method. The configuration used consists of three alpha clusters located at the apexes of an equilateral triangle, and an additional cluster, not necessarily of alpha type, forming a tetrahedron. This cluster is located at the top of its height. Short-range and state dependent correlations are included by means of a central Jastrow factor and a linear operatorial correlation factor respectively. Angular momentum projection is performed by using the Peierls-Yoccoz operators. Optimal structures are obtained for all the nuclei studied. Some aspects of our methodology have been tested by comparing with previous calculations carried out without short range correlations. The binding energy, the root mean square radius, and the one- and two-body densities are reported. The effects of correlations on both the energy and the nucleon distribution are analyzed systematically.
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"abstract": "Variational wave functions based on a Margenau-Brink cluster model with short\nrange and state dependent correlations, and angular momentum projection are\nobtained for some nuclei with $12 \\leq A \\leq 16$. The calculations have been\ncarried out starting from the nucleon-nucleon interaction by using the\nVariational Monte Carlo method. The configuration used consists of three alpha\nclusters located at the apexes of an equilateral triangle, and an additional\ncluster, not necessarily of alpha type, forming a tetrahedron. This cluster is\nlocated at the top of its height. Short-range and state dependent correlations\nare included by means of a central Jastrow factor and a linear operatorial\ncorrelation factor respectively. Angular momentum projection is performed by\nusing the Peierls-Yoccoz operators. Optimal structures are obtained for all the\nnuclei studied. Some aspects of our methodology have been tested by comparing\nwith previous calculations carried out without short range correlations. The\nbinding energy, the root mean square radius, and the one- and two-body\ndensities are reported. The effects of correlations on both the energy and the\nnucleon distribution are analyzed systematically.",
"arxiv_id": "nucl-th/0405027",
"authors": [
"E. Buendia",
"F. J. Galvez",
"A. Sarsa"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.054315",
"journal_ref": "Phys.Rev. C70 (2004) 054315",
"title": "Projected multicluster model with Jastrow and linear state dependent correlations for $12 \\leq A \\leq 16$ nuclei",
"url": "https://arxiv.org/abs/nucl-th/0405027"
},
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