Volume 69, Number 5, March 2005
|Page(s)||732 - 738|
|Section||Atomic and molecular physics|
|Published online||02 February 2005|
Semi-analytic solution to the N-boson problem with zero-range interactions
Department of Physics and Astronomy, University of Aarhus DK-8000 Aarhus C, Denmark
2 Max-Planck-Institute for the Physics of Complex Systems Nöthnitzer Straße 38, D-01187 Dresden, Germany
Accepted: 22 December 2004
We study two-body correlations for N identical bosons by use of the hyperspherical adiabatic-expansion method. We use the zero-range interaction and derive a transcendental equation determining the key ingredient of the hyperradial potential. The necessary renormalization is for both repulsive and attractive interactions achieved with an effective range expansion of the two-body phase shifts. Our solutions including correlations provide the properties of Bose-Einstein condensates exemplified by stability conditions as established by mean-field Gross-Pitaevskii calculations. The many-body Efimov states are unavoidable for large scattering lengths.
PACS: 31.15.Ja – Hyperspherical methods / 21.45.+v – Few-body systems / 05.30.Jp – Boson systems
© EDP Sciences, 2005
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