Europhys. Lett.
Volume 69, Number 5, March 2005
Page(s) 732 - 738
Section Atomic and molecular physics
Published online 02 February 2005
Europhys. Lett., 69 (5), pp. 732-738 (2005)
DOI: 10.1209/epl/i2004-10405-1

Semi-analytic solution to the N-boson problem with zero-range interactions

T. Sogo1, O. Sørensen2, A. S. Jensen1 and D. V. Fedorov1

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 in final form 22 December 2004
published online 2 February 2005

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.

31.15.Ja - Hyperspherical methods.
21.45.+v - Few-body systems.
05.30.Jp - Boson systems.

© EDP Sciences 2005