Study of Efimov physics in two nuclear-spin sublevels of <sup>7</sup>Li

Noam Gross; Zav Shotan; Olga Machtey; Servaas Kokkelmans; Lev Khaykovich

doi:10.1016/j.crhy.2010.10.004

Study of Efimov physics in two nuclear-spin sublevels of ⁷Li
[Étude de l'effet d'Efimov dans deux états de spin nucléaire du ⁷Li]

Noam Gross ¹ ; Zav Shotan ¹ ; Olga Machtey ¹ ; Servaas Kokkelmans ² ; Lev Khaykovich ¹

¹ Department of Physics, Bar-Ilan University, Ramat-Gan, 52900 Israel
² Eindhoven University of Technology, P.O. Box 513, NL-5600 MB Eindhoven, The Netherlands

Comptes Rendus. Physique, Few body problem, Volume 12 (2011) no. 1, pp. 4-12.

Résumé
Abstract

On présente une étude expérimentale de l'effet d'Efimov dans deux états de spin nucléaire du lithium bosonique, et l'on montre que les positions et les largeurs des résonances d'Efimov sur le taux de recombinaison sont les mêmes pour les deux états à l'incertitude des mesures près, ce qui indique que la physique à courte portée ne dépend pas du spin nucléaire. On trouve également que les paramètres clés de la physique d'Efimov obéissent aux relations universelles attendues sur toute la résonance de Feshbach. Ces résultats dépendent crucialement de la connnaissance de la longueur de diffusion en fonction du champ magnétique, déduite d'une caractérisation des deux résonances de Feshbach larges dans les différents états par spectroscopie radio-fréquence des états moléculaires faiblement liés. En ajustant les énergies de liaison à l'aide d'un modèle numérique à voies couplées, on détermine les positions absolues des résonances de Feshbach and les valeurs des longueurs de diffusion singulet et triplet.

Efimov physics in two nuclear-spin sublevels of bosonic lithium is studied and it is shown that the positions and widths of recombination minima and Efimov resonances are identical for both states within the experimental errors, which indicate that the short-range physics is nuclear-spin independent. We also find that the Efimov features are universally related across Feshbach resonances. These results crucially depend on careful mapping between the scattering length and the applied magnetic field which we achieve by characterization of the two broad Feshbach resonances in the different states by means of rf-spectroscopy of weakly bound molecules. By fitting the binding energies numerically with a coupled channels calculation we precisely determine the absolute positions of the Feshbach resonances and the values of the singlet and triplet scattering lengths.

Publié le : 2011-01-01

DOI : 10.1016/j.crhy.2010.10.004

Keywords: Efimov effect, Feshbach resonance, Nuclear spin
Mots-clés : Effet d'Efimov, Résonance de Feshbach, Spin nucléaire

Affiliations des auteurs :

Noam Gross ¹ ; Zav Shotan ¹ ; Olga Machtey ¹ ; Servaas Kokkelmans ² ; Lev Khaykovich ¹

¹ Department of Physics, Bar-Ilan University, Ramat-Gan, 52900 Israel
² Eindhoven University of Technology, P.O. Box 513, NL-5600 MB Eindhoven, The Netherlands

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     title = {Study of {Efimov} physics in two nuclear-spin sublevels of {\protect\textsuperscript{7}Li}},
     journal = {Comptes Rendus. Physique},
     pages = {4--12},
     publisher = {Elsevier},
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Noam Gross; Zav Shotan; Olga Machtey; Servaas Kokkelmans; Lev Khaykovich. Study of Efimov physics in two nuclear-spin sublevels of ⁷Li. Comptes Rendus. Physique, Few body problem, Volume 12 (2011) no. 1, pp. 4-12. doi : 10.1016/j.crhy.2010.10.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2010.10.004/

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