Three-body parameter for Efimov states inLi6

Abstract

. (2014) 'Three-body parameter for E mov states in 6Li. ', Physical review A., 90 (4). 043636.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevA.90.043636Publisher's copyright statement:Reprinted with permission from the American Physical Society: Bo Huang (), Kenneth M. O'Hara, Rudolf Grimm, Jeremy M. Hutson, and Dmitry S. Petrov (2014) 'Three-body parameter for E mov states in 6Li.', Physical review A., 90 (4), 043636. c 2014 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modi ed, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We present a state-of-the-art reanalysis of experimental results on Efimov resonances in the three-fermion system of 6 Li. We discuss different definitions of the three-body parameter (3BP) for Efimov states and adopt a definition that excludes effects due to deviations from universal scaling for low-lying states. We develop a finite-temperature model for the case of three distinguishable fermions and apply it to the excited-state Efimov resonance to obtain the most accurate determination to date of the 3BP in an atomic three-body system. Our analysis of ground-state Efimov resonances in the same system yields values for the three-body parameter that are consistent with the excited-state result. Recent work has suggested that the reduced 3BP for atomic systems is a near-universal quantity, almost independent of the particular atom involved. However, the value of the 3BP obtained for 6 Li is significantly (∼20%) different from that previously obtained from the excited-state resonance in Cs. The difference between these values poses a challenge for theory.

Universality of weakly bound dimers and Efimov trimers close to Li–Cs Feshbach resonances

“…The present analysis also does not consider Efimov resonance shifts arising from finite temperature. This is in contrast to the recent studies in the homonuclear gases of Cs and Li atoms [47,49,50], which have shown that such effects need to be taken into account in order to accurately determinate the Efimov resonance positions. At the same time, the scaling factor of the second Efimov period lies well within the universal predictions, and experimental demonstration of deviations from the universal law, if any, will require access to lower temperatures and improved control over the magnetic field systematics.…”

Efimov Physics and the Three-Body Parameter for Shallow van der Waals Potentials

“…Converting toā (n) using Eq. (4), yields theā (n) values reported in the table paper [35] that analyzed the experimental data-"compromised" by the fact that the three s-wave scattering lengths are slightly different. Interestingly, though, the value ofā (2) /r 6 agrees with what is reported in Table 2.…”

Finite-temperature effects on a triatomic Efimov resonance in ultracold cesium

“…The results were reanalyzed in Ref. [38] based on the UZR theory. For the very large length scale of an excited Efimov state, finite-range corrections can be expected to be very small.…”

“…An extension of the theory has been applied in Ref. [38] to analyze observations of an excited-state Efimov resonance in the three-fermion system of 6 Li [14]. A further extension has been presented in Ref.…”