Calculations of Electron Angular Distribution in Resonant Auger Decay for Na, Ba, Hg and Kr

Abstract

The angular anisotropy parameters of the Auger decay α2 and spin polarization parameters β2 were calculated for Na, Kr, Xe, Ba, and Hg using the multichannel Dirac–Fock method. These calculations were performed using LSJ and relativistic intermediate coupling. The exchange effect was used in all calculations. We showed numerically that orbital relaxation during the Auger decay had only a small effect on the angular distribution for open-shell atoms. The obtained values for α2 and β2 were compared with other theoretical results.

Comment on ‘Calculations of electron angular distribution in resonant Auger decay for Na, Ba, Hg and Kr*’

“…Again, these two data sets have been obtained by accounting for orbital relaxation during the Auger decay. Elizarov and Tupitsyn did not investigate this discrepancy any further [10], they only suggested that the discrepancy may have something to do with the phase differences which are 'not the same as those presented in table 2' of our work [5]. They neither give any values for their phase differences nor do they give any information on how much their phase differences deviate from ours.…”

“…For the remainder of the comment we will leave any data obtained in the frozen-core approximation out and focus on Elizarov and Tupitsyn's realization that there is a huge discrepancy between their [10,11] and our [5] results for the angular anisotropy parameter α 2 for the L 3 M 1 M 4,5 Auger transitions of Kr, Xe, Ba, and Hg, see columns a and c of table 1. Again, these two data sets have been obtained by accounting for orbital relaxation during the Auger decay.…”

“…Just this, we would expect the frozen-core approximation to work well for normal Auger transitions in which huge Auger energies are involved as the outgoing Auger electron is such fast that it does not feel the potential changing. This is what Elizarov and Tupitsyn [10,11] [6], the dynamic spin polarization parameter ξ 2 has not been tabulated by Elizarov and Tupitsyn [12]. Contrary to what is said in [12] we have chosen intermediate coupling for our numerical calculation [9].…”

“…Note that the chosen title of the paper [10] is misleading since the Kr, Xe, Ba and Hg Auger transitions are not resonant but normal Auger transitions. Elizarov and Tupitsyn have compared their results for the angular anisotropy parameter α 2 with ours and have come across significant discrepancies.…”

“…Regarding the practical but missing comparison and due to a few misprints in the tables [10,11,12], due to an Auger spectrum of Hg consisting of five lines instead of four [10,11,12] and due to two columns, excluding the column headings, which have been mixed up in have carried out one calculation in the frozen-core approximation and another calculation which accounts for orbital relaxation in the course of the Auger decay, see [10,11,12] for formulas and further details. It is clear from table 1 that, for Kr, Xe and Hg, the frozen-core approximation results in an inverted energy sequence of the four Auger lines.…”