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Title: Precise determination of lattice phase shifts and mixing angles

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:
 [1] ;  [1] ;  [2] ;  [3]
  1. Forschungszentrum Julich, Julich (Germany)
  2. North Carolina State Univ., Raleigh, NC (United States)
  3. Univ. Bonn, Bonn (Germany); Forschungszentrum Julich, Julich (Germany)
Publication Date:
OSTI Identifier:
1261215
Grant/Contract Number:
FG02-03ER41260
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 760; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
North Carolina State Univ., Raleigh, NC (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; nuclear structure; scattering phase shifts; angular momentum projection