2007
DOI: 10.1088/0031-8949/76/2/n01
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Efimov states: what are they and why are they important?

Abstract: The interaction of two atoms at energies in the microkelvin range is mainly characterized by one parameter, namely, the s-wave scattering length. Efimov showed that when the scattering length was effectively infinite, i.e. much larger than the natural length scale of the atoms, a large number of three-body bound states could form even when the two-body system supported only one weakly bound state, or possibly none at all. The states are bound in an effective 1/R2 potential and therefore form a series with a ch… Show more

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Cited by 6 publications
(4 citation statements)
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“…To deduce the functional form of ε(R) = −κ 2 (R) for large R, it is convenient to define ξ ≡ κ − κ 0 , and substitute it into Eq. (27). From Eq.…”
Section: The Three-body Modelmentioning
confidence: 99%
See 2 more Smart Citations
“…To deduce the functional form of ε(R) = −κ 2 (R) for large R, it is convenient to define ξ ≡ κ − κ 0 , and substitute it into Eq. (27). From Eq.…”
Section: The Three-body Modelmentioning
confidence: 99%
“…Such a potential emerges from a hyperspherical calculation for equal mass bosons. 27 There may result, for certain negative values of a, shape resonances of the trimer at E > 0. When the energy of the three atoms matches a resonance, there is enhanced barrier penetrability to form an Efimov trimer.…”
Section: The Three-body Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…The intrinsic complexity of triatomic molecules 1 produces interesting phenomena such as conical intersections and geometric phases [19,20] and the Renner-Teller effect [21], while consideration of three atoms at ultra-low energies leads to Efimov [22,23], Borromean [9], and Pfaffian [8,24] states and makes the description of collisional processes, such as atomdiatom collisions [25,26] and three-body recombination loss [27][28][29] challenging. The demands for understanding the spectroscopy and collisional processes of specific important triatomic molecules at thermal collisional energies also continues to drive progress.…”
Section: A General Aspects Of Triatomic Systemsmentioning
confidence: 99%