Breakdown of the One-Electron Pictures in Photoelectron by G. Wendin

By G. Wendin

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S4Xe 531 1 0 -"---/"7-10-9-8 -1 , 1 0 E / _, 2(Ry). ~56B n -'l- 1 0 i I i -1- / ~ I | E{Ry) Fig. 25. 3a, giving graphical solutions of the Dyson equation (Eq. (15)) The 4s, 4 p Core-Hole Spectrum in Xe and Surrounding Elements 43 (in principle, one should look for the quasi-particle poles out in the complex E-plane). Crossings in the intermediate region where R e Z ~ t ( E ) has a positive s l o p e need not correspond to physical solutions. T h e y occur where ImZ4D_pl(E) is very large and also Z4p > 1 and do not necessarily correspond to simple poles, or any poles at all, in the complex E-plane.

50) is illustrated in a one-electron level scheme in Fig. 24 a, and the corresponding secondorder self-energy diagram for x4~R(E) is shown in Figs. 24 b, c. Our technique for including higher order effects was discussed in detail in Sect. 5. Applied to the present 4 p case it can be briefly described in the foUwing way: The renormalized second-order self-energy takes the form Umrm(E) 27~R(E) ---- E °, - E4# + E - i6 (52) 41 The 4s, 4 p Core-Hole Spectrum in Xe and Surrounding Elements 4p . t I,G,IA11 0 (o) t i l 4a ,[IT'~///'4" ~" -~ v (d) 1 .

Most of the ionic excitation strength has now condensed into a collapsed 4d24 f configuration and we are essentially left with a two-level problem.

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