By Bernd Lohmann

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71) and thus, the anisotropy parameter Bscat can be re-defined as Bscat (K kq) = Bscat (K Q , kq) δqQ . e. 70), with those for photoionization/excitation we point out two major differences. First, the parameter Bscat does not solely depend on the rank K as in the photon case but is also a function of rank + describing the polarization k and magnetic component q of the state multipoles tkq state of the incoming electron beam. Secondly, while the parameter Bphot does only depend on the reduced matrix elements, for electron impact excitation, the parameter Bscat depends on the scattering phase of the incoming partial waves, too.

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. For both cases, the reaction plane is showing reflection invariance since the two components of the electric field vector are transformed onto themselves.

191) later on. Again, we find that the spin polarization parameter δK becomes independent of the transition matrix elements for Auger transitions to a final state with total angular momentum Jf = 0 which leads to the simple expression δK (Jf = 0) = (−1)J +3/2 (2K + 1)(2J + 1) J J K 1/2 −1/2 0 . 146) This equation is identical to the one for αK but with a different phase factor. However, one should remember that K is restricted to odd numbers in the above equation. Especially, for the case that K = 1 we obtain δ1 (Jf = 0) = 3 .