Helium tune-out wavelength: Gauge invariance and retardation corrections

Authors

Gordon W. F. Drake, University of WindsorFollow
Jacob Gabriel Manalo, University of OttawaFollow
Pei-Pei Zhang, Wuhan Institute of Physics and MathematicsFollow
Kenneth George Herbert Baldwin, Australian National UniversityFollow

Author ORCID Identifier

https://orcid.org/0000-0001-5116-1515

Document Type

Article

Publication Date

3-20-2019

Publication Title

Hyperfine Interactions

Keywords

tune-out wavelength, gauge transformation, retardation, helium

Abstract

The problem of calculating the tune-out wavelength for an atom interacting with a plane electromagnetic wave is formulated as a zero in the Rayleigh scattering cross section, rather than a zero in the dynamic polarizability. Retardation (finite wavelength) corrections are discussed in the velocity gauge, and possible gauge transformations to a length form are investigated. For the special case of S-states, it is shown that a pure length form exists for the leading p_xz retardation correction, even though one does not exist in general. The results of high-precision calculations in Hylleraas coordinates are presented for the tune-out wavelength of helium near the 2 ³S - 3 ³P transition at 413 nm.

Funding Reference Number

NSERC, SHARCnet

Recommended Citation

Drake, Gordon W. F.; Manalo, Jacob Gabriel; Zhang, Pei-Pei; and Baldwin, Kenneth George Herbert. (2019). Helium tune-out wavelength: Gauge invariance and retardation corrections. Hyperfine Interactions.
https://scholar.uwindsor.ca/physicspub/193