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Title: Analytical evaluation of atomic form factors: Application to Rayleigh scattering

Atomic form factors are widely used for the characterization of targets and specimens, from crystallography to biology. By using recent mathematical results, here we derive an analytical expression for the atomic form factor within the independent particle model constructed from nonrelativistic screened hydrogenic wave functions. The range of validity of this analytical expression is checked by comparing the analytically obtained form factors with the ones obtained within the Hartee-Fock method. As an example, we apply our analytical expression for the atomic form factor to evaluate the differential cross section for Rayleigh scattering off neutral atoms.
Authors:
 [1] ;  [2] ;  [3] ;  [3] ;  [4] ;  [5] ;  [5] ;  [6] ;  [7]
  1. IST Austria (Institute of Science and Technology Austria), Am Campus 1, 3400 Klosterneuburg (Austria)
  2. (Finland)
  3. Laboratório de Instrumentação, Engenharia Biomédica e Física da Radiação (LIBPhys-UNL), Departamento de Física, Faculdade de Ciências e Tecnologia, FCT, Universidade Nova de Lisboa, 2829-516 Caparica (Portugal)
  4. (Germany)
  5. Department of Physics, University of Oulu, Box 3000, FI-90014 Oulu (Finland)
  6. (Austria)
  7. (Brazil)
Publication Date:
OSTI Identifier:
22403141
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIFFERENTIAL CROSS SECTIONS; FORM FACTORS; HARTREE-FOCK METHOD; RAYLEIGH SCATTERING; SINGLE-PARTICLE MODEL; WAVE FUNCTIONS