Compton scattering beyond the impulse approximation

Abstract

We treat the non-relativistic Compton scattering process in which an incoming photon scatters from an N-electron many-body state to yield an outgoing photon and a recoil electron, without invoking the commonly used frameworks of either the impulse approximation (IA) or the independent particle model (IPM). An expression for the associated triple differential scattering cross section is obtained in terms of Dyson orbitals, which give the overlap amplitudes between the N-electron initial state and the (N-1) electron singly ionized quantum states of the target. We show how in the high energy transfer regime, one can recover from our general formalism the standard IA based formula for the cross section which involves the ground state electron momentum density (EMD) of the initial state. Our formalism will permit the analysis and interpretation of electronic transitions in correlated electron systems via inelastic x-ray scattering (IXS) spectroscopy beyond the constraints of the IA and the IPM.

7 pages, 1 figure

References in corpus (2)

• Treatment of Correlation Effects in Electron Momentum Density: Density Fuctional Theory and Beyond
• A Novel 2D Folding Technique for Enhancing Fermi Surface Signatures in the Momentum Density: Application to Compton Scattering Data from an Al-3at%Li Disordered Alloy

Cited by in corpus (26)

• Persistence of Covalent Bonding in Liquid Silicon Probed by Inelastic X-ray Scattering
• Calculation of valence electron momentum densities using the projector augmented-wave method
• Extracting the Redox Orbitals in Li Battery Materials with High-Resolution X-Ray Compton Scattering Spectroscopy
• Non-destructive measurement of in-operando lithium concentration in batteries via x-ray Compton scattering
• An Overview of the Compton Scattering Calculation
• Identifying a descriptor for d-orbital delocalization in cathodes of Li batteries based on x-ray Compton scattering
• Dyson Orbitals, Quasi-Particle effects and Compton scattering
• How the hydrogen bond in NH${}_4$F is revealed with Compton scattering
• Identification of ferrimagnetic orbitals preventing spinel degradation by charge ordering in Li${}_x$Mn${}_2$O${}_4$
• Compton scattering study of strong orbital delocalization in a LiNiO${}_2$ cathode
• Oxygen disorder in ice probed by X-ray Compton scattering
• Magnetic momentum density, Fermi surface and directional magnetic Compton profiles in LaSr${}_2$Mn${}_2$O${}_7$ and La${}_{1.2}$Sr${}_{1.8}$Mn${}_2$O${}_7$
• Anomalous electronic correlations in ground state momentum density of Al${}_{97}$Li${}_3$
• Lindhard and RPA susceptibility computations in extended momentum space in electron doped cuprates
• Theory of nonlinear interactions between x rays and optical radiation in crystals
• Extracting d-orbital occupancy from magnetic Compton scattering in bilayer manganites
• Enhancement of Compton Scattering by an Effective Coupling Constant
• Relativistic Impulse Approximation in Compton Scattering
• Proposal to determine the Fermi-surface topology of a doped iron-based superconductor using bulk-sensitive Fourier-transform Compton scattering
• High-temperature cuprate superconductors studied by x-ray Compton scattering and positron annihilation spectroscopies
• Natural orbital functional theory and pairing correlation effects in electron momentum density
• Magnetic Compton profiles of Ni beyond the one-particle picture: numerically exact and perturbative solvers of dynamical mean-field theory
• Compton Scattering Energy Spectrum for Si and Ge Systems
• Probing the semiconductor-to-dirac semimetal transition in Na-Sb-Bi alloys with x-ray Compton scattering
• The influence of the binding energy on Compton-scattering-driven ionization
• Coherent Compton scattering from hydrogen and helium atoms