EPJ Web of Conferences 3, 02004 (2010)
https://doi.org/10.1051/epjconf/20100302004

The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap

¹ Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), Nussallee 14-16, D-53115 Bonn Germany
² Bethe Center for Theoretical Physics, Universität Bonn, Nussallee 12, D-53115 Bonn Germany

^a e-mail: toelle@hiskp.uni-bonn.de

Abstract

The possibility to control short-ranged interactions of cold gases in optical traps by Feshbachresonances makes these systems ideal candidates to study universal scaling properties and Efimov physics. The spectrum of particles in a trap, idealised by a harmonic oscillator potential, in the zero range limit with 2- and 3-particle contact interactions is studied numerically. The Hamiltonian is regularised by restricting the oscillator basis and the coupling constants are tuned such that the ground state energies of the 2- and 3-particle sector are reproduced [1],[2]. Results for 2-, 3-, and 4 particle systems are presented and compared to exact results [3],[4].