Correlation induced collapse of many-body systems with zero-range potentials

Details Correlation induced collapse of many-body systems with zero-range potentials Correlation induced collapse of many-body systems with zero-range potentials

2001-02-15

arxiv.org/abs/quant-ph/0102075v2

Phys.Rev. A63 (2001) 063608

Physics

Quantum Physics

Corrected reference

Scientific paper

10.1103/PhysRevA.63.063608

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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