Universal relations for range corrections to Efimov features

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

doi:10.1103/PhysRevA.92.030702

Universal relations for range corrections to Efimov features

Journal Article · Wed Sep 09 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.92.030702· OSTI ID:1337835

Ji, Chen ^[1]; Braaten, Eric ^[2]; Phillips, Daniel R. ^[3]; Platter, Lucas ^[4]

TRIUMF, Vancouver, BC (Canada)
The Ohio State Univ., Columbus, OH (United States)
Ohio Univ., Athens, OH (United States)
Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

In a three-body system of identical bosons interacting through a large S-wave scattering length a, there are several sets of features related to the Efimov effect that are characterized by discrete scale invariance. Effective field theory was recently used to derive universal relations between these Efimov features that include the first-order correction due to a nonzero effective range r_s. We reveal a simple pattern in these range corrections that had not been previously identified. The pattern is explained by the renormalization group for the effective field theory, which implies that the Efimov three-body parameter runs logarithmically with the momentum scale at a rate proportional to r_s/a. The running Efimov parameter also explains the empirical observation that range corrections can be largely taken into account by shifting the Efimov parameter by an adjustable parameter divided by a. Furthermore, the accuracy of universal relations that include first-order range corrections is verified by comparing them with various theoretical calculations using models with nonzero range.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-06CH11357; AC05-00OR22725; FG02-93ER40756

OSTI ID:: 1337835

Alternate ID(s):: OSTI ID: 1214744

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Journal Name: Physical Review A - Atomic, Molecular, and Optical Physics Journal Issue: 3 Vol. 92; ISSN 1050-2947; ISSN PLRAAN

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (10)

More on the Universal Equation for Efimov States Gattobigio, M.; Göbel, M.; Hammer, H. -W. Few-Body Systems, Vol. 60, Issue 2 https://doi.org/10.1007/s00601-019-1504-1	journal	May 2019
Few-body physics in resonantly interacting ultracold quantum gases D’Incao, José P. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 4 https://doi.org/10.1088/1361-6455/aaa116	journal	January 2018
Efimov physics: a review Naidon, Pascal; Endo, Shimpei Reports on Progress in Physics, Vol. 80, Issue 5 https://doi.org/10.1088/1361-6633/aa50e8	journal	March 2017
Efimov–van der Waals universality for ultracold atoms with positive scattering lengths Mestrom, Paul M. A.; Wang, Jia; Greene, Chris H. Physical Review A, Vol. 95, Issue 3 https://doi.org/10.1103/physreva.95.032707	journal	March 2017
Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length Langmack, Christian; Schmidt, Richard; Zwerger, Wilhelm Physical Review A, Vol. 97, Issue 3 https://doi.org/10.1103/physreva.97.033623	journal	March 2018
Finite-range effects in Efimov physics beyond the separable approximation Mestrom, P. M. A.; Secker, T.; Kroeze, R. M. Physical Review A, Vol. 99, Issue 1 https://doi.org/10.1103/physreva.99.012702	journal	January 2019
Embedding nuclear physics inside the unitary-limit window Gattobigio, M.; Kievsky, A.; Viviani, M. Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/physrevc.100.034004	journal	September 2019
Universal few-body physics and cluster formation Greene, Chris H.; Giannakeas, P.; Pérez-Ríos, J. Reviews of Modern Physics, Vol. 89, Issue 3 https://doi.org/10.1103/revmodphys.89.035006	journal	August 2017
Efimov Physics: a review Naidon, Pascal; Endo, Shimpei arXiv https://doi.org/10.48550/arxiv.1610.09805	text	January 2016
Finite-range effects in Efimov physics beyond the separable approximation Mestrom, Paul M. A.; Secker, Thomas; Kroeze, Ronen arXiv https://doi.org/10.48550/arxiv.1810.07977	text	January 2018

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