Universal relations for range corrections to Efimov features
- 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 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.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- AC05-00OR22725; AC02-06CH11357; FG02-93ER40756
- OSTI ID:
- 1337835
- Alternate ID(s):
- OSTI ID: 1214744
- Journal Information:
- Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, Issue 3; ISSN 1050-2947
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
More on the Universal Equation for Efimov States
|
journal | May 2019 |
Few-body physics in resonantly interacting ultracold quantum gases
|
journal | January 2018 |
Efimov physics: a review
|
journal | March 2017 |
Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length
|
journal | March 2018 |
Efimov Physics: a review | text | January 2016 |
Finite-range effects in Efimov physics beyond the separable approximation | text | January 2018 |
Similar Records
Analytic representation of the Efimov effect in the helium trimer
Universal equation for Efimov states