Complex-scaled ab initio QED approach to autoionizing states

TL;DR

This paper develops a complex-scaling ab initio QED method for autoionizing states, providing highly accurate predictions of binding energies by including all relevant quantum electrodynamics effects and electron correlations.

Contribution

It introduces a nonperturbative complex-scaling approach for QED calculations of autoionizing states, incorporating higher-order effects and demonstrating on heliumlike ions.

Findings

Accurate binding energy predictions for heliumlike argon and uranium.

Inclusion of all second-order QED contributions and higher-order effects.

Validation of the formalism through comparison with experimental data.

Abstract

Ab initio method based on a complex-scaling approach and aimed at a rigorous QED description of autoionizing states is worked out. The autoionizing-state binding energies are treated nonperturbatively in $\alpha Z$ and include all the many-electron QED contributions up to the second order. The higher-order electron correlation, nuclear recoil, and nuclear polarization effects are taken into account as well. The developed formalism is demonstrated on the $LL$ resonances in heliumlike argon and uranium. The most accurate theoretical predictions for the binding energies are obtained.