2014/01/10 by S. J. J. M. F. Kokkelmans · 4 citations
Physics and Astronomy · #cond-mat.quant-gas
paper · pdf · doi:10.1142/9781783264766_0004
23 pages, 3 figures. This article will be published as Chapter 4 in "Quantum gas experiments - exploring many-body states", edited by P. Törmä and K. Sengstock, Imperial College Press, London, to be published 2014
arxiv created 2014/01/10 · arxiv updated 2017/08/23
In this chapter, we describe scattering resonance phenomena in general, and focus on the mechanism of Feshbach resonances, for which a multi-channel treatment is required. We derive the dependence of the scattering phase shift on magnetic field and collision energy. From this, the scattering length and effective range coefficient can be extracted, expressions which are particularly useful for ultracold gases.