Theoretical Approach to the Calculation of Energies and Widths of Resonant (Autoionizing) States in Many-Electron Atoms
- 1 December 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 6 (6), 2078-2092
- https://doi.org/10.1103/physreva.6.2078
Abstract
A theoretical approach, capable of providing quantitative results for -electron nonrelativistic "nonstationary" states is presented. I treat inner-hole or doubly excited states, observed in various types of experiments, from a conceptually single point of view, as decaying states. First, the relevant important quantities already known, e.g., from Feshbach's theory, are derived and interpreted in a mathematically and physically meaningful way. Then I consider the exact square-integrable -electron function describing the initial localized -electron state and, from straightforward variation-perturbation-theory considerations, I derive a variational minimum principle which permits one to incorporate systematically the important correlation effects without the danger of a "variational collapse." This method requires projection onto known one-electron zeroth-order functions and it thus overcomes the difficulties of the well-known , methods which require projection onto exact wave functions. From preliminary -body calculations I find the and resonances, previously observed experimentally, at about 57.3 and 58.4 eV. In addition, I predict the positions of various autoionizing states: in Li I at about 140.7 eV (a state), in C IV at about 306.7 eV (), in N I at about 14.9 eV (), and in F I at about 22.4 eV () above the ground state. These states, which are just samples of states treatable by this approach, may in principle cause observable structures, e.g., in photon-absorption experiments, in particle-atom scattering experiments, or in beamfoil experiments.
Keywords
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