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Q: Fachverband Quantenoptik und Photonik

Q 51: Poster Ultrakalte Moleküle

Q 51.4: Poster

Thursday, March 13, 2008, 16:30–19:00, Poster C2

The Efimov Molecule with short and finite range potentials — •Bettina Berg1, Lev Plimak1, Misha Ivanov2 und Wolfgang P. Schleich11Institute of Quantum Physics, Ulm University, Germany — 2NRC, Ottawa, Canada

The Efimov effect [1,2] has always been regarded somewhat of a mystery. As there is an evergrowing interest in this problem, a simple explanation of this effect utilizing only elementary quantum mechanics appears more than desirable. We investigate the so-called Efimov molecule formed by two heavy and one light particle in the Born-Oppenheimer limit, by applying an Ansatz from “Quantum Chemistry 101” and assuming that the light particle interacts with the heavy ones via a short-range potential. The resulting molecular term exhibits the typical 1/R2 behaviour of a Efimov potential [3]. An extention of our method to potentials of arbitrary radius is also discussed.

[1] V. N. Efimov, Weakly Bound States of Three Resonantly-Interactiong Particles, Sov. J. Nucl. Phys. 12, 589-595 (1971).

[2] T. Kraemer et al., Evidence for Efimov quantum states in an ultracold gas of caesium atoms, Nature 440, 315-318 (16 March 2006), cond-mat/0512394.

[3] L. Plimak, B. Berg, M. Ivanov, W. Schleich, Quantum Chemistry of the Efimov Molecule, submitted.

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