Relativistic Impulse Approximation in Compton Scattering
arXiv:1902.02301 · doi:10.1088/1361-6455/ab69a7
Abstract
Relativistic impulse approximation (RIA) has been widely used in atomic, condensed matter, nuclear, and elementary particle physics. In former treatments of RIA formulation, differential cross sections for Compton scattering processes were factorized into atomic Compton profiles by performing further simplified approximations in the integration. In this study, we develop an ``exact'' numerical method without using any further simplified approximations or factorization treatments. The validity of the approximations and factorizations used in former RIA treatments can be tested using our approach. Calculations for C, Cu, Ge, and Xe atomic systems are carried out using Dirac-Fock wavefunctions, and comparisons between the proposed approach and former treatments of RIA are performed and discussed in detail. Numerical results indicate that these simplified approximations work reasonably in the Compton peak region, and our results have little difference with the best of the former RIA treatments in the entire energy region. While in regions far from the Compton peak, the RIA results become inaccurate, even when our ``exact'' numerical treatment is used.
20 pages, 13 figures, 1 table and 5 Appendices. Originally created in Feb 2019, V2 and V3: minor revision; V4: major revision, add 2 Appendices; V5: accepted manuscript; V6: published version
References in corpus (16)
- Dark Matter Search Results from a One TonneYear Exposure of XENON1T
- Results from a search for dark matter in the complete LUX exposure
- Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
- Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment
- Results on neutrinoless double beta decay of 76Ge from GERDA Phase I
- All-optical Compton gamma-ray source
- Search for Majorana neutrinos with the first two years of EXO-200 data
- Improved limit on neutrinoless double beta decay of Ge from GERDA Phase II
- Inverse Compton Origin of the Hard X-Ray and Soft Gamma-Ray Emission from the Galactic Ridge
- Neutrinoless double beta decay and neutrino physics
- Results from the Super Cryogenic Dark Matter Search (SuperCDMS) experiment at Soudan
- Limits on Light Weakly Interacting Massive Particles from the First 102.8 kg day Data of the CDEX-10 Experiment
- Compton scattering beyond the impulse approximation
- Development of an advanced Compton camera with gaseous TPC and scintillator
- Measurement of low energy ionization signals from Compton scattering in a CCD dark matter detector
- Proposal to determine the Fermi-surface topology of a doped iron-based superconductor using bulk-sensitive Fourier-transform Compton scattering