Universal relations for range corrections to Efimov features
In a threebody system of identical bosons interacting through a large Swave 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 firstorder 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 threebody 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 firstorder range corrections is verified by comparing them with various theoretical calculations using models with nonzero range.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[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)
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725; AC0206CH11357; FG0293ER40756
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. A
 Additional Journal Information:
 Journal Volume: 92; Journal Issue: 3; Journal ID: ISSN 10502947
 Publisher:
 American Physical Society (APS)
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1337835
 Alternate Identifier(s):
 OSTI ID: 1214744
Ji, Chen, Braaten, Eric, Phillips, Daniel R., and Platter, Lucas. Universal relations for range corrections to Efimov features. United States: N. p.,
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. doi:10.1103/PhysRevA.92.030702.
Ji, Chen, Braaten, Eric, Phillips, Daniel R., and Platter, Lucas. 2015.
"Universal relations for range corrections to Efimov features". United States.
doi: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 threebody system of identical bosons interacting through a large Swave 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 firstorder 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 threebody 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 firstorder 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},
number = 3,
volume = 92,
place = {United States},
year = {2015},
month = {9}
}