Eur. Phys. J. B 59, 343-356 (2007)
https://doi.org/10.1140/epjb/e2007-00288-x

Density and stability in ultracold dilute boson-fermion mixtures

¹ Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Straße 9, 48149 Münster, Germany
² Universität Duisburg-Essen, Campus Duisburg, Fachbereich Physik, Lotharstraße 1, 47048 Duisburg, Germany

Corresponding authors: ^a steffen.roethel@uni-muenster.de - ^b axel.pelster@uni-duisburg-essen.de

Received: 11 May 2007
Revised: 20 August 2007
Published online: 17 October 2007

Abstract

We analyze in detail recent experiments on ultracold dilute ⁸⁷Rb–⁴⁰K mixtures in Hamburg and in Florence within a mean-field theory. To this end we determine how the stationary bosonic and fermionic density profiles in this mixture depend in the Thomas-Fermi limit on the respective particle numbers. Furthermore, we investigate how the observed stability of the Bose-Fermi mixture with respect to collapse is crucially related to the value of the interspecies s-wave scattering length.