Compton Scattering at the Bragg Position

Abstract

With the incident "beam" provided by the standing-wave pattern which on passing the Bragg reflection range in a silicon crystal is sweeping the atomic sites, the spectrum of inelastically scattered x-ray photons has been measured for appropriately chosen scattering vectors $\overrightarrow{\mathrm{q}}$. The results confirm the recent prediction that the spectrum is determined by the projections of the nondiagonal elements of the one-electron momentum-space density matrix $\Gamma \left(\overrightarrow{\mathrm{p}}\right|{\overrightarrow{\mathrm{p}}}^{\prime })$ on $\overrightarrow{\mathrm{q}}$.