Postcollision-interaction (PCI) effects involving multistep decay processes following Ar $1s$ photoionization has been studied by Auger electron spectroscopy. The experiment focused on $LMM$ Auger electrons measured in small photon energy steps across the Ar $1s$ photoionization threshold. Decay pathways that we studied include (1) the ${\mathrm{Ar}}^{+*}2{p}^{--1}\ensuremath{\rightarrow}{\mathrm{Ar}}^{2+}3{p}^{--2}$ LMM\ensuremath{\alpha} Auger process due to a single $L$ hole created by $KL$ fluorescence, (2) the ${\mathrm{Ar}}^{2+*}2{p}^{--2}\ensuremath{\rightarrow}{\mathrm{Ar}}^{3+*}2{p}^{--1}3{p}^{--2}$ ${LMM}_{1}$ Auger process following double $L$ shell hole states produced by a $KLL$ Auger processes, and (3) the subsequent ${\mathrm{Ar}}^{3+*}2{p}^{--1}3{p}^{--2}\ensuremath{\rightarrow}{\mathrm{Ar}}^{4+}3{p}^{--4}$ ${LMM}_{2}$ Auger transitions. Particularly pronounced PCI shifts and unusual line shapes compared to the ordinary one-step PCI process were found in the spectra of Auger processes following a $KLL$ Auger first step. The experimental results were compared with calculations based on the semiclassical approach to PCI. Good agreement was found between the calculated and experimental PCI shifts. The result opens possibilities for further studies of the multielectron dynamics between Auger electrons mediated through the photoelectron in these and similar systems.
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