Range corrections to three-body observables near a Feshbach resonance

Platter, Lucas; Chen, Ji; Phillips, Daniel R.

doi:10.1103/physreva.79.022702

Cited by 65 publications

(96 citation statements)

References 32 publications

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“…Theoretical investigations [29,30,37,38] have shown that the Efimov ground state may be subject to considerable modifications. For n = 0 this may change the factor 22.7 in Eqs.…”

Section: Three-body Parametermentioning

confidence: 99%

“…Many experiments have focused on such features, including some that determined the 3BP [12,13,27]. In real atomic systems, however, finite-range corrections may significantly affect universal scaling, particularly for ratios involving the Efimov ground state [30,[37][38][39]. However, such corrections decrease substantially for higher Efimov states and are already very small for the first excited state.…”

Section: Introductionmentioning

confidence: 99%

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Three-body parameter for Efimov states inLi6

O’Hara

Grimm

et al. 2014

Phys. Rev. A

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. (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.

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“…Theoretical investigations [29,30,37,38] have shown that the Efimov ground state may be subject to considerable modifications. For n = 0 this may change the factor 22.7 in Eqs.…”

Section: Three-body Parametermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-body parameter for Efimov states inLi6

O’Hara

Grimm

et al. 2014

Phys. Rev. A

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“…[30] would be reproduced by a strictly perturbative analysis of the NLO shift in the Efimov spectrum, and that is true in the limit |r| . However, in a perturbative analysis the second term in Eq.…”

Section: Next-to-leading-order Analysis In the Large-scattering-lengtmentioning

confidence: 87%

“…In Ref. [30] we showed rigorously that G n (0) = 0 for all n, i.e. there is no shift in any κ n in the unitary limit 3 .…”

Section: Next-to-leading-order Analysis In the Large-scattering-lengtmentioning

confidence: 98%

“…[30] this observation was used as the basis of a calculation of the scattering-length dependence of the boundstates in the three-body system in the presence of a finite 02002-p. 5 EPJ Web of Conferences effective range. As a is varied in the two-body system the energies at which three-body bound states change occur.…”

Section: Next-to-leading-order Analysis In the Large-scattering-lengtmentioning

confidence: 99%

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Universality and Beyond

Phillips

2010

EPJ Web of Conferences

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Abstract. I discuss the impact of a finite effective range, r, on systems with a large two-body scattering length, a. In particular, I show how observables can be written as an expansion around the "universal", or large-scatteringlength limit. The parameter governing this expansion is the ratio r/a. In few-nucleon systems the ratio r/a has a value of about 1/3, and so such corrections are essential in producing good agreement between theory and data. Hence, I first show how these effects range play a key role in making the so-called "pionless" effective field theory a successful descriptor of low-energy processes in the NN system. I then move to the NNN system, and review predictions for the energy-dependence of observables there. However, the beautiful Efimov physics associated with the presence of a large scattering length is not fully revealed in the NNN system, precisely because r/a corrections are large. I therefore turn to cold atomic gases and show that there are some important recent experiments where physics "beyond universality" affects the data. In the process I demonstrate that an additional piece of short-distance physics is necessary to renormalize scattering-length-dependent observables in the three-body system once corrections ∼ r are considered. Finally, I discuss recent initial efforts to compute r/a corrections to the predictions of universality for the four-body system.

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Universality of Li-Cs-Cs Efimov Resonances

Ulmanis

2017

Heteronuclear Efimov Scenario in Ultracold Quantum Gases

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Range corrections to three-body observables near a Feshbach resonance

Cited by 65 publications

References 32 publications

Three-body parameter for Efimov states inLi6

Three-body parameter for Efimov states inLi6

Universality and Beyond

Universality of Li-Cs-Cs Efimov Resonances

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