By Bernd Lohmann
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Additional resources for Angle and Spin Resolved Auger Emission
After some certain lifetime the intermediate anisotropic ensemble of ions A+∗ , discussed in the previous sections, decays via emission of Auger electrons. 103) where J M denotes the intermediate ionic state A+∗ . The final ionic state is described by Jf Mf and p(−) ms denotes the emitted Auger electron with momentum p and spin ms . The upper index (−) on p indicates that we are dealing with scattering solutions with incoming boundary conditions. Choosing the helicity system as coordinate frame, the density matrix ρˆ of the ion A+∗ can be expanded into a series of state multipoles T (J )+ KQ T (J )+ KQ T (J )KQ .
The electron beam axis has been chosen as quantization axis. 67) kq where the anisotropy parameter Bscat is defined as Bscat (K Q , kq) = 1 tr V tkq V T (J )+ KQ . 68) For describing the initial and final states we adopt the notation of the previous sections. The initial electron is characterized as p0(+) ms0 where p0(+) denotes, in the sense of scattering theory, an incoming electron with impact p0 and outgoing boundary conditions (cf. Starace 1982), and ms0 denotes its magnetic spin quantum number.
1. Predictions for the spin polarization vector of the Auger electron Polarization of projectiles unpol. e, γ , trans. pol. e, trans. pol. e, long. pol. e, circ. pol. γ , lin. pol. γ , lin. pol. γ , P=0 Px = 0 Py = 0 Pz = 0 η2 = 0 η3 = 0 η1 = 0 Auger electrons px py pz 0 =0 0 =0 0 =0 0 =0 0 =0 0 =0 =0 0 =0 0 =0 0 =0 0 0 oscillations the direction of the E vector is physically unimportant and only its axis is physically defined. Thus, for a fully linearly polarized photon beam it is sufficient to consider the two cases of an in-plane and a perpendicular to the plane linearly polarized beam.