Jesper Levinsen, Meera M. Parish
We consider the problem of N identical fermions of mass m_\uparrow and one distinguishable particle of mass m_\downarrow interacting via short-range interactions in a confined quasi-two-dimensional (quasi-2D) geometry. For N=2 and mass ratios m_\uparrow/m_\downarrow<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_\uparrow/m_\downarrow as low as 5 for strong confinement, thus providing the first example of a universal, non-Efimov tetramer involving three identical fermions.
View original:
http://arxiv.org/abs/1207.0459
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