Elsevier

Nuclear Physics A

Volume 325, Issues 2–3, 20–27 August 1979, Pages 463-480
Nuclear Physics A

On the determination of the reaction cross section from elastic scattering

https://doi.org/10.1016/0375-9474(79)90027-7Get rights and content

Abstract

In the scattering between heavy ions often a strong Coulomb excitation of the low-lying states occurs. In this paper we study its effect on the determination of the reaction cross section from elastic scattering data. Emphasis is put on the question whether the analysis of the sum of Coulomb excited states and elastic scattering gives a consistent value of the reaction cross section. This in heavy-ion scattering often corresponds to the experimental situation. The simple quater-point recipe is not reliable. The application of the usual optical model to the sum of elastic and inelastic scattering gives the reaction cross section as the flux going into the other channels. It should not be applied to strictly elastic scattering. The model independent sum-of-differences method is a reliable procedure. An extension of this method is derived that allows general conclusions: to yield correct reaction cross sections a model for elastic scattering has to describe the forward angles appropriately In principle fitting the data is not needed when the generalized sum-of-differences method is used.

References (23)

  • W.E. Frahn

    Nucl. Phys.

    (1966)
  • H. Oeschler, J. Barrette, A. Gamp, H. Hafner, H. L. Harney and W. Heinecke, to be...
  • A. Christy et al.

    Nuclear Data Tables

    (1972)
  • C.E. Thorn et al.

    Phys. Rev. Lett.

    (1977)
    E.E. Gross et al.

    Phys. Rev.

    (1978)
  • F. G. Perey, the code GENOA (version by B. S. Nilsson, Niels Bohr Institute,...
  • W. Henning et al.

    Phys. Rev.

    (1977)
  • A.Z. Schwarzschild et al.
  • D.L. Hillis et al.

    Phys. Rev.

    (1977)
  • A. Richter et al.
  • A. Gamp and H. L. Harney, Laboratory report IPNO-Ph N 78-20 of the Institut de Physique Nucléaire d'Orsay, France,...
  • J.S. Blair

    Phys. Rev.

    (1954)
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    On leave of absence from Max-Planck-Institut für Kernphysik, Postfach 103980, 6900 Heidelberg, Germany.

    ††

    Present address: Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Barkely California 94720.

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