Abstract
We consider two identical impurities immersed in a Fermi sea for a broad range of masses and for both interacting and non-interacting impurities. The interaction between the particles is described through attractive zero-range potentials and the problem is solved in momentum space. The two impurities can attach to a fermion from the sea and form three-body bound states. The energy of these states increase as function of the Fermi momentum kF, leading to three-body bound states below the Fermi energy. The fate of the states depends highly on two- and three-body thresholds and we find evidence of medium-induced Borromean-like states in 2D. The corrections due to particle-hole fluctuations in the Fermi sea are considered in the three-body calculations and we show that in spite of the fact that they strongly affect both the two- and three-body systems, the correction to the point at which the three-body states cease to exist is small.
Highlights
The improvement of the techniques for cooling atoms has been boosting advances in physics for several years [1,2,3,4]
We show how the energy of the states are shifted depending on the Fermi momentum kF and how these states decay into the two- and three-body continuum
We found the self-consistent one more suitable to handle in the investigation of the three-body problem of two impurities immersed in a Fermi sea, whose results are presented
Summary
F F Bellotti, T Frederico, M T Yamashita, D V Fedorov, A S Jensen and N T Zinner. Any further distribution of We consider two identical impurities immersed in a Fermi sea for a broad range of masses and for both this work must maintain interacting and non-interacting impurities. Can attach to a fermion from the sea and form three-body bound states. The energy of these states increase as function of the Fermi momentum kF, leading to three-body bound states below the Fermi energy. The corrections due to particle-hole fluctuations in the Fermi sea are considered in the three-body calculations and we show that in spite of the fact that they strongly affect both the two- and three-body systems, the correction to the point at which the three-body states cease to exist is small
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