Universal relations for range corrections to Efimov features
Abstract
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 rs. 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 rs/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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1337835
- Alternate Identifier(s):
- OSTI ID: 1214744
- Grant/Contract Number:
- AC05-00OR22725; AC02-06CH11357; FG02-93ER40756
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 3; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Ji, Chen, Braaten, Eric, Phillips, Daniel R., and Platter, Lucas. Universal relations for range corrections to Efimov features. United States: N. p., 2015.
Web. doi:10.1103/PhysRevA.92.030702.
Ji, Chen, Braaten, Eric, Phillips, Daniel R., & Platter, Lucas. Universal relations for range corrections to Efimov features. United States. https://doi.org/10.1103/PhysRevA.92.030702
Ji, Chen, Braaten, Eric, Phillips, Daniel R., and Platter, Lucas. Wed .
"Universal relations for range corrections to Efimov features". United States. https://doi.org/10.1103/PhysRevA.92.030702. https://www.osti.gov/servlets/purl/1337835.
@article{osti_1337835,
title = {Universal relations for range corrections to Efimov features},
author = {Ji, Chen and Braaten, Eric and Phillips, Daniel R. and Platter, Lucas},
abstractNote = {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 rs. 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 rs/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.},
doi = {10.1103/PhysRevA.92.030702},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 3,
volume = 92,
place = {United States},
year = {Wed Sep 09 00:00:00 EDT 2015},
month = {Wed Sep 09 00:00:00 EDT 2015}
}
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Works referencing / citing this record:
More on the Universal Equation for Efimov States
journal, May 2019
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Few-body physics in resonantly interacting ultracold quantum gases
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Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
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Finite-range effects in Efimov physics beyond the separable approximation
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