Jul 17 – 22, 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

Relativistic corrections to two-photon decay rates in heliumlike ions

Jul 19, 2022, 5:00 PM
1h 30m
Hart House (Hart House)

Hart House

Hart House

7 Hart House Cir, Toronto, ON M5S 3H3
Poster presentation Structure and properties of atoms, ions, and molecules Poster session


Two-photon transition rates are important in determining astrophysical quantities such as population balance in planetary nebulae. Our group recently calculated two-photon decay rates in heliumlike ions including the finite nuclear mass effects [1]. We have now perturbatively added relativistic corrections to these results, giving the most precise and accurate calculations to date for these transitions. In the process of calculating the two-electron Breit matrix elements, we first tested the derived two-photon, two-electron decay (2nd order field +1st order relativistic) perturbation equation on the equivalent one-electron process which obeys the same formula. In this process, we derived (and will report on) one-electron Breit-Pauli operators that were shown to be equivalent to the corresponding Dirac operators. A continuous gauge parameter is considered, and the operators are compared to the long-wavelength QED operators derived for few-electron atoms by Pachucki [2].

[1] Bondy, Aaron T., Donald C. Morton, and G. W. F. Drake. "Two-photon decay rates in heliumlike ions: Finite-nuclear-mass effects." Physical Review A 102.5 (2020): 052807
[2] Pachucki, Krzysztof. "Long-wavelength quantum electrodynamics." Physical Review A 69.5 (2004): 052502.

Funding from NSERC and QE-II is gratefully acknowledged.

Presenter name Aaron T. Bondy
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Primary authors

Aaron Bondy (University of Windsor) Prof. Gordon Drake (University of Windsor) Dr Donald C. Morton (NRC Herzberg Astronomy and Astrophysics Research Centre)

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