On the relativistic impulse approximation for the calculation of Compton scattering cross sections and photon interaction coefficients used in kV dosimetry.

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ID: 101606
2020
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Abstract
We calculate differential and integrated cross sections for the Compton interaction as well as mass attenuation (μ/ρ), mass energy-transfer (μ/ρ), and mass energy-absorption (μ/ρ) coefficients, within the relativistic impulse approximation (RIA) using Compton profiles (CPs) obtained from unrestricted Hartree--Fock electron densities. We investigate the impact of using molecular as opposed to atomic CPs on dosimetric photon interaction coefficients for air, water and graphite, and compare our cross sections to the simpler Waller--Hartree (WH) and Klein--Nishina (KN) formalisms. We find that differences in μ/ρ and μ/ρ resulting from the choice of CPs within the RIA are small relative to the differences between the RIA, WH, and KN calculations. Surprisingly, although the WH binding corrections seem accurate when considering μ/ρ, there are significant discrepancies between the WH and RIA results when we look at μ/ρ. The WH theory can differ substantially from the predictions of KN and the RIA in the tens of keV range (e.g., 6-10% at 20 keV), when Compton scattering becomes the dominant interaction mechanism. For lower energies, the disagreement further grows to about one order of magnitude at 1 keV. However, since the photoelectric effect transfers more energy than the Compton interaction in the tens of keV range and below, the differences in the total μ/ρ values resulting from the choice of Compton models (KN, WH, or RIA) are not larger than 0.4%, and the differences between WH and the other two theories are no longer prominent.
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wang2020onphysics Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Wang, Xiaoya Judy;Miguel, Beatriz;Seuntjens, Jan;Fernández-Varea, José María;
Journal Physics in medicine and biology
Year 2020
DOI
10.1088/1361-6560/ab8108
URL
Keywords
compton scattering differential cross sections molecular compton profile photon interaction coefficients relativistic impulse approximation

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