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Such a quantitative level of agreement between theoretical and experimental results should perhaps be considered fortuitous in view of limitations inherent to Eq. (3) for modeling photointensities.
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The final states in our one-and three-step computations are identical if the photoelectron is assumed to have zero damping. However, for finite damping, the final states in the one-step calculation undergo energy shifts not present in the three-step formulation of Eq. (3). This results in some differences between the one-and three-step photointensities in Fig. 3.
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In particular, Ref. 8 notes that the decrease in spectral intensity is accompanied with relatively small increase in widths of spectral peaks. We have carried out simulations in which the initial-state lifetime was taken to be energy dependent following the results of Ref. 34. Consistent with the analysis of Ref. 8, our conclusion also is that the photohole lifetime is not a significant factor for the observed drastic drop in the photointensity, although the use of an energy-dependent lifetime (after Ref. 34) would yield a somewhat improved agreement between theory and experiment.
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