Issue |
Europhys. Lett.
Volume 69, Number 5, March 2005
|
|
---|---|---|
Page(s) | 732 - 738 | |
Section | Atomic and molecular physics | |
DOI | https://doi.org/10.1209/epl/i2004-10405-1 | |
Published online | 02 February 2005 |
Semi-analytic solution to the N-boson problem with zero-range interactions
1
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
Received:
6
October
2004
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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