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Analytical coupled-channel treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling

Q. Guan and D. Blume
Phys. Rev. A 95, 020702(R) – Published 21 February 2017

Abstract

It is shown that the single-particle spin-orbit coupling terms, which—in the cold atom context—are associated with synthetic gauge fields, can significantly and nontrivially modify the phase accumulation at small interparticle distances even if the length scale (kso)1 associated with the spin-orbit coupling term is significantly larger than the van der Waals length rvdW that characterizes the two-body interaction potential. A theoretical framework, which utilizes a generalized local frame transformation and accounts for the phase accumulation analytically, is developed. Comparison with numerical coupled-channel calculations demonstrates that the phase accumulation can, to a very good approximation, be described over a wide range of energies by the free-space scattering phase shifts—evaluated at a scattering energy that depends on kso—and the spin-orbit coupling strength kso.

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  • Received 15 December 2016

DOI:https://doi.org/10.1103/PhysRevA.95.020702

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Q. Guan and D. Blume

  • Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA

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Issue

Vol. 95, Iss. 2 — February 2017

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