Three-body problem in a two-dimensional Fermi gas
1 T.C.M. Group, Cavendish Laboratory - JJ Thomson Avenue, Cambridge, CB3 0HE, UK
2 London Centre for Nanotechnology - Gordon Street, London, WC1H 0AH, UK
Received: 7 February 2013
Accepted: 19 March 2013
We investigate the three-body properties of two identical ↑ fermions and one distinguishable ↓ 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 . We find that the recombination rate for fermions is strongly energy dependent, with significant contributions from higher partial waves at low energies. For , the s-wave atom-dimer scattering below threshold is completely described by the scattering length. Furthermore, we examine the bound states (trimers) appearing at large and find that the energy spectrum for the deepest bound trimers resembles that of a hydrogen atom confined to two dimensions.
PACS: 34.50.-s – Scattering of atoms and molecules / 05.30.Fk – Fermion systems and electron gas
© EPLA, 2013