#### 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.

#### Keywords

Compton scattering, strongly correlated electrons, impulse approximation, Dyson orbitals

#### Subject Categories

Scattering (Physics), Photons

#### Disciplines

Physics

#### Publication Date

2003

#### Permanent URL

#### Recommended Citation

Kaplan, I. G.; Barbiellini, B.; and Bansil, A., "Compton scattering beyond the impulse approximation" (2003). *Physics Faculty Publications.* Paper 65. http://hdl.handle.net/2047/d20000418

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## Notes

Originally posted at http://arxiv.org/abs/cond-mat/0304294v1. Preprint of an article published in Physical Review B, v.68 no.23, 2003.