Precise determination of lattice phase shifts and mixing angles

Journal Article · Thu Sep 01 00:00:00 EDT 2016 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2016.06.081· OSTI ID:1261215

Lu, Bing-Nan; Lähde, Timo A.; Lee, Dean; Meißner, Ulf-G.

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.

• Research Organization: North Carolina State University, Raleigh, NC (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: FG02-03ER41260
• OSTI ID: 1261215
• Alternate ID(s): OSTI ID: 1361209
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Vol. 760 Journal Issue: C; ISSN 0370-2693
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
nuclear structure
scattering phase shifts
angular momentum projection