Three-body problem in a two-dimensional Fermi gas
Abstract
We investigate the three-body properties of two identical "up" fermions and one distinguishable "down" atom interacting in a strongly confined two-dimensional geometry. We compute exactly the atom-dimer scattering properties and the three-body recombination rate as a function of collision energy and mass ratio m_up/m_down. We find that the recombination rate for fermions is strongly energy dependent, with significant contributions from higher partial waves at low energies. For m_up < m_down, the s-wave atom-dimer scattering below threshold is completely described by the scattering length. Furthermore, we examine the "up-up-down" bound states (trimers) appearing at large m_up/m_down and find that the energy spectrum for the deepest bound trimers resembles that of a hydrogen atom confined to two dimensions.
Cite
@article{arxiv.1211.6805,
title = {Three-body problem in a two-dimensional Fermi gas},
author = {V. Ngampruetikorn and Meera M. Parish and J. Levinsen},
journal= {arXiv preprint arXiv:1211.6805},
year = {2013}
}
Comments
6 pages, 6 figures