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| related topics |
| {temperature, thermal, energy} |
| {energy, state, states} |
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Correlation induced collapse of many-body systems with zero-range
potentials
D. V. Fedorov, A. S. Jensen
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0102075
- categories:
- quant-ph nucl-th
- comments:
- Corrected reference
- doi:
- 10.1103/PhysRevA.63.063608
- arxiv_id:
- quant-ph/0102075
- journal_ref:
- Phys.Rev. A63 (2001) 063608
- created:
- 2001-02-15
- updated:
- 2001-02-20
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