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An elementary exposition of the Efimov effect
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Image of Fig. 1.
Fig. 1.

For , even though there is no two-body bound state (dimer), more and more three-body bound states (trimers) are formed as the potential becomes more attractive. The solid lines represent the Efimov trimer states which emerge for and . For on the right, the trimers break up at the atom-dimer continuum, indicated by the dotted curve. Adapted from Fig. 1 of Ref. 16.

Image of Fig. 2.
Fig. 2.

A schematic illustration of the relative coordinates used in the three-body problem. See the text for details.

Image of Fig. 3.
Fig. 3.

The effective potential between the two heavy-mass particles that arises in the adiabatic approximation due to interaction with the light-mass particle. For , the interatomic potential is irrelevant for the Efimov effect. The scattering length is denoted by the horizontal axis. As , the two-body binding goes to zero and for all . The four regions of the potential are discussed in the text.

Image of Fig. 4.
Fig. 4.

The solid circles are experimental data points (Ref. 5) at 10 nK for the observed three-body recombination: . The scattering length is measured in units of the Bohr radius . Adapted from Fig. 2 of Ref. 37.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: An elementary exposition of the Efimov effect