The Spectrum of Particles with Short-Ranged Interactions in a Harmonic Trap
Helmholtz-Institut für Strahlen- und Kernphysik (Theorie),
Nussallee 14-16, D-53115
2 Bethe Center for Theoretical Physics, Universität Bonn, Nussallee 12, D-53115 Bonn Germany
a e-mail: email@example.com
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 ,. Results for 2-, 3-, and 4 particle systems are presented and compared to exact results ,.
© Owned by the authors, published by EDP Sciences, 2010