Scattering operator for elastic and inelastic resonant x-ray scattering

Abstract

We show that, in the fast collision approximation, the scattering operator for resonant x-ray scattering can be expressed in terms of simple spin-orbital moment operators ${\mathit{M}}^{\left(\mathit{k}\right)}$(l,s) of the valence shell involved in the resonance. This theory is applicable to the analysis of a broad range of resonant x-ray elestic and inelastic scattering and absorption experiments involving rare earth, actinide, and transition elements.