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Comptes Rendus Physique
Volume 12, n° 1
pages 13-26 (janvier 2011)
Doi : 10.1016/j.crhy.2010.12.002
Received : 13 August 2010 ;  accepted : 9 December 2010
The Efimov effect in lithium 6
L'effet d'Efimov dans le lithium 6

Pascal Naidon a, b, , Masahito Ueda a, b
a ERATO Macroscopic Quantum Project, JST, Tokyo 113-0033, Japan 
b Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan 

Corresponding author at: Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.

We analyse the recent experiments investigating the low-energy physics of three lithium 6 atoms in three different internal states with resonant two-body scattering lengths. All observed features are qualitatively consistent with the expected Efimov effect, i.e. the effective universal three-body attraction that arises for large values of the scattering lengths. However, we find that a quantitative description at negative energy requires non-universal two- and three-body corrections due to presently unknown behaviour at short distance. An attempt to implement these corrections is made through energy-dependent parameters that are fitted to the experimental data.

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Nous analysons les récentes expériences concernant la physique à basse énergie de trois atomes de lithium 6 dans des états internes différents avec des longueurs de diffusion résonantes. Toutes les observations s'expliquent qualitativement par l'effet d'Efimov, c'est-à-dire l'attraction universelle effective à trois corps qui survient aux grandes valeurs des longueurs de diffusion. En revanche, il apparaît qu'une compréhension quantitative nécessite des corrections non-universelles à deux et trois corps provenant du comportement inconnu à courte distance. Nous proposons d'implémenter ces corrections par le biais de paramètres dépendant de l'énergie et ajustés à l'expérience.

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Keywords : Efimov effect, Universality, Zero-range potential, Fano–Feshbach resonance, Trimer, Lithium

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