title: Bound states in a quasi-two-dimensional Fermi gas.
abstract: We consider the problem of N identical fermions of mass m(↑) and one distinguishable particle of mass m(↓) interacting via short-range interactions in a confined quasi-two-dimensional (quasi-2D) geometry. For N=2 and mass ratios m(↑)/m(↓)<13.6, we find non-Efimov trimers that smoothly evolve from 2D to 3D. In the limit of strong 2D confinement, we show that the energy of the N+1 system can be approximated by an effective two-channel model. We use this approximation to solve the 3+1 problem and we find that a bound tetramer can exist for mass ratios m(↑)/m(↓) as low as 5 for strong confinement, thus providing the first example of a universal, non-Efimov tetramer involving three identical fermions.
authors: T.C.M. Group, Cavendish Laboratory, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom.
authors: Jesper
authors: J
authors: Levinsen
authors: Meera M
authors: MM
authors: Parish