Abstract

Analytic expressions for the direct, resonant, and interference contributions to the differential cross section of a resonant Auger process, produced by the inner-shell photoionization of a linear molecule either ``fixed in space'' or belonging to a gas of randomly oriented molecules, have been derived following Dill's procedures [Dill et al., Phys. Rev. Lett. 45, 1393 (1980)], but going beyond the two-step approximation. Angle-resolved Auger spectra of the ${\mathrm{C}}_{2}{\mathrm{H}}_{2}$ molecule measured on top of the $\mathrm{C}\phantom{\rule{0.3em}{0ex}}1s\ensuremath{\rightarrow}{\ensuremath{\pi}}^{*}$ resonance [Kivim\aki et al., J. Phys. B 30, 4279 (1997)] have been calculated together with asymmetry parameters, analyzing also the different contributions to the electron angular distributions.

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