Measurements and calculations of 
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 transitions in neonlike germanium: Achieving agreement at the 
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 level

Beiersdörfer, P.; Brown, G. V.; Hell, N.; Lockard, Tom; Nilsen, Joseph; Panchenko, D.; Hobbs, L. M. R.; Hoarty, D. J.; Gu, M. F.

doi:10.1103/physreva.100.032516

Cited by 5 publications

(1 citation statement)

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“…The discrepancies between theory and experiment for different transitions and ions, in absolute value, was less than 2 eV in the earliest work, which shrinks down to less than 1 eV in a more recent one [53]. In the case of Ne-like Ge a recent study [54] reports the remarkable agreement up to 10 −4 relative uncertainty between MBPT calculations and measured values. The QED effects have been incorporated at the first order via the Model Lamb-shift-operator approach [55,56] and the interelectronic interaction has been captured with the Breit interaction treated in the vanishing frequency limit.…”

Section: Discussionmentioning

confidence: 87%

QED approach to valence-hole excitation in closed shell systems

Soguel,

Volotka,

Fritzsche

2022

Preprint

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An ab initio QED approach to treat a valence-hole excitation in closed shell systems is developed in the framework of the two-time-Green function method. The derivation considers a redefinition of the vacuum state and its excitation as a valence-hole pair. The proper two-time Green function, whose spectral representation confirms the poles at valence-hole excitation energies is proposed. An contour integral formula which connects the energy corrections and the Green function is also presented. First-order corrections to the valence-hole excitation energy involving self-energy, vacuum polarization, and one-photon-exchange terms are explicitly derived in the redefined vacuum picture. Reduction to the usual vacuum electron propagators is given that agrees in the Breit approximation with the many-body perturbation theory expressions for the valence-hole excitation energy.

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