dorsal/arxiv
View SchemaCorrelation induced collapse of many-body systems with zero-range potentials
| Authors | D. V. Fedorov, A. S. Jensen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102075 |
| URL | https://arxiv.org/abs/quant-ph/0102075 |
| DOI | 10.1103/PhysRevA.63.063608 |
| Journal | Phys.Rev. A63 (2001) 063608 |
Abstract
The zero-range potential is customarily employed in various mean-field calculations of many-body systems in atomic and nuclear physics within, correspondingly, Gross-Pitaevskii and Skyrme-Hartree-Fock approach. We argue, however, that a many-body system with zero-range potentials is unstable against clusterization into collapsed three-body subsystems. We show that neither the density dependence of the potential nor an additional repulsive three-body potential can prevent this unexpected correlational collapse if the potentials are of zero range. Therefore the zero-range potential can only be used in many-body calculations where all three-body correlations are explicitly excluded.
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"abstract": "The zero-range potential is customarily employed in various mean-field\ncalculations of many-body systems in atomic and nuclear physics within,\ncorrespondingly, Gross-Pitaevskii and Skyrme-Hartree-Fock approach. We argue,\nhowever, that a many-body system with zero-range potentials is unstable against\nclusterization into collapsed three-body subsystems. We show that neither the\ndensity dependence of the potential nor an additional repulsive three-body\npotential can prevent this unexpected correlational collapse if the potentials\nare of zero range. Therefore the zero-range potential can only be used in\nmany-body calculations where all three-body correlations are explicitly\nexcluded.",
"arxiv_id": "quant-ph/0102075",
"authors": [
"D. V. Fedorov",
"A. S. Jensen"
],
"categories": [
"quant-ph",
"nucl-th"
],
"doi": "10.1103/PhysRevA.63.063608",
"journal_ref": "Phys.Rev. A63 (2001) 063608",
"title": "Correlation induced collapse of many-body systems with zero-range potentials",
"url": "https://arxiv.org/abs/quant-ph/0102075"
},
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