## 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 _{x} z 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 ^{3} S − 3 ^{3} P transition at 413 nm.

Original language | English |
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Article number | 31 |

Journal | Hyperfine Interactions |

Volume | 240 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jun 2019 |