Fourier-bessel-analysis of alpha-particle scattering optical potentials and nuclear matter densities

  • H. J. Gils
  • E. Friedman
  • H. Rebel
  • Z. Majka
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 89)


Elastic scattering cross sections of 104 MeV alpha-particles from 40,48Ca were analyzed using a Fourier-Bessel-series description of the real optical potential and also using density dependent folding models with Fourier-Bessel expansions of the nuclear matter densities. The uncertainties in the derived parameters are discussed for the real potentials and nuclear densities, respectively, as a function of radius and additionally for integral quantities such as volume integral, root-mean-square radius or higher moments. It is shown that the errors of the radial form factors are more realistic as compared to model descriptions using e.g. squared Saxon-Woods form-factors. The analyses yield for the nuclear matter rms radii rm(48) − rm (40) = 0.12 ± 0.07 fm.


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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • H. J. Gils
    • 1
  • E. Friedman
    • 1
    • 2
  • H. Rebel
    • 1
  • Z. Majka
    • 1
  1. 1.Kernforschungszentrum Karlsruhe GmbHInstitut für Angewandte KernphysikKarlsruheGermany
  2. 2.Racah Institute of PhysicsThe Hebrew UniversityJerusalemIsreal

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