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Title: Precise determination of lattice phase shifts and mixing angles

Abstract

Here, we introduce a general and accurate method for determining lattice phase shifts and mixing angles, which is applicable to arbitrary, non-cubic lattices. Our method combines angular momentum projection, spherical wall boundaries and an adjustable auxiliary potential. This allows us to construct radial lattice wave functions and to determine phase shifts at arbitrary energies. For coupled partial waves, we use a complex-valued auxiliary potential that breaks time-reversal invariance. We benchmark our method using a system of two spin-1/2 particles interacting through a finite-range potential with a strong tensor component. We are able to extract phase shifts and mixing angles for all angular momenta and energies, with precision greater than that of extant methods. We discuss a wide range of applications from nuclear lattice simulations to optical lattice experiments.

Authors:
; ; ;
Publication Date:
Research Org.:
North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1261215
Alternate Identifier(s):
OSTI ID: 1361209
Grant/Contract Number:  
FG02-03ER41260
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 760 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; nuclear structure; scattering phase shifts; angular momentum projection

Citation Formats

Lu, Bing-Nan, Lähde, Timo A., Lee, Dean, and Meißner, Ulf-G. Precise determination of lattice phase shifts and mixing angles. Netherlands: N. p., 2016. Web. doi:10.1016/j.physletb.2016.06.081.
Lu, Bing-Nan, Lähde, Timo A., Lee, Dean, & Meißner, Ulf-G. Precise determination of lattice phase shifts and mixing angles. Netherlands. doi:10.1016/j.physletb.2016.06.081.
Lu, Bing-Nan, Lähde, Timo A., Lee, Dean, and Meißner, Ulf-G. Thu . "Precise determination of lattice phase shifts and mixing angles". Netherlands. doi:10.1016/j.physletb.2016.06.081.
@article{osti_1261215,
title = {Precise determination of lattice phase shifts and mixing angles},
author = {Lu, Bing-Nan and Lähde, Timo A. and Lee, Dean and Meißner, Ulf-G.},
abstractNote = {Here, we introduce a general and accurate method for determining lattice phase shifts and mixing angles, which is applicable to arbitrary, non-cubic lattices. Our method combines angular momentum projection, spherical wall boundaries and an adjustable auxiliary potential. This allows us to construct radial lattice wave functions and to determine phase shifts at arbitrary energies. For coupled partial waves, we use a complex-valued auxiliary potential that breaks time-reversal invariance. We benchmark our method using a system of two spin-1/2 particles interacting through a finite-range potential with a strong tensor component. We are able to extract phase shifts and mixing angles for all angular momenta and energies, with precision greater than that of extant methods. We discuss a wide range of applications from nuclear lattice simulations to optical lattice experiments.},
doi = {10.1016/j.physletb.2016.06.081},
journal = {Physics Letters B},
number = C,
volume = 760,
place = {Netherlands},
year = {2016},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.physletb.2016.06.081

Citation Metrics:
Cited by: 3 works
Citation information provided by
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