The few-atom problem
Abstract
These lectures contain a theoretical introduction to the few-body problem with short-range resonant binary interactions. In the first part we discuss the effective range expansion for the two-body scattering amplitude emphasizing the role of the resonance width. In the second part we review the Efimov effect for three atoms, describe the difference in between the Efimovian and non-Efimovian regimes, and discuss the dependence of three-body observables on quantum symmetry, mass imbalance, and resonance width. In the third part we derive the Skorniakov and Ter-Martirosian equation and give several illustrative examples of its solution.
Cite
@article{arxiv.1206.5752,
title = {The few-atom problem},
author = {D. S. Petrov},
journal= {arXiv preprint arXiv:1206.5752},
year = {2015}
}
Comments
54 pages, 12 figures. Lectures presented at the 2010 Les Houches Summer School "Many-Body Physics with Ultra-Cold Gases"; Many-body physics with ultra-cold gases: Lecture Notes of the 2010 Les Houches Summer School, vol. 94, (2012)