Abstract

The multiple Auger decays of the $\mathrm{Ne}\phantom{\rule{0.28em}{0ex}}1{s}^{\ensuremath{-}1}$ state including double and triple Auger processes are investigated within the framework of perturbation theory. The contributions of the cascade and direct processes are determined for the double Auger decay. In the cascade processes, the choice of the orbital sets and configuration interaction can strongly affect the partial probabilities for the specific configurations of $\mathrm{N}{\mathrm{e}}^{3+}$. The multistep approaches, i.e., the knockout and shakeoff mechanisms, are implemented to deal with the direct double Auger processes for which the total and partial probabilities corresponding to specific configurations of $\mathrm{N}{\mathrm{e}}^{3+}$ are calculated and reveal that the knockout is dominant. Finally, the probabilities of the triple Auger decays that are decomposed into a double Auger process and a subsequent emission of a single electron are obtained using the cascade and knockout mechanisms. The calculated probabilities agree reasonably well with the available experimental data.

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