By Bernd Lohmann
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Extra info for Angle and Spin Resolved Auger Emission
We discussed this problem for electron impact ionization (Lohmann 1984), and for the case of photoionization with an arbitrarily polarized synchrotron beam (Kleiman et al. 1999a). We will choose the coordinate system shown in Fig. 3. The laboratory frame is denoted by XY Z, the Z-axis is parallel to the incident beam direction. The reaction plane is spanned by the axis of the incoming projectiles and the direction of the observed Auger electrons. With respect to this axis we define a second coordinate system, the helicity system of the observed Auger electrons, denoted by xyz.
The angular momentum b must be even. With this, another physically important result can be obtained. 70) we get (−1) 0+ 0 = 1. e. the bi-linear products of matrix elements, of the excitation process. This result is somewhat surprising since it is a well known fact that a free electron beam does not have a determined parity. The symmetry conditions of the considered experiment however, restrict the number of partial waves of the incoming electron beam which can take part in the excitation process to those with identical parity.
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. Thus, its numerical calculation becomes more tedious than in the photonic case. 67) can be written as + tkq Bscat (K kq). 73) T (J )+ Kq = k This equation yields a physically important result. Due to the selection rule q = Q we find that the state multipoles T (J )+ K Q describing the excited atomic state must + describing the incoming ehave the same z-component as the state multipoles tkq lectron beam.
Angle and Spin Resolved Auger Emission by Bernd Lohmann