Elsevier

Nuclear Physics A

Volume 272, Issue 1, 9 November 1976, Pages 215-242
Nuclear Physics A

A single reflection approximation for heavy-ion potential scattering

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Abstract

A multiple reflection expansion is introduced for the amplitude or wave function pertaining to a definite partial wave in which each term corresponds to a wave undergoing an ever increasing number of reflections in the potential region. The two leading terms in the expansion corresponding to one reflection from the origin and from intervals of rapid change in the local wave number, provide an excellent approximation for phase shifts and wave functions over a wide range of energies and partial waves for real and complex potentials except for real wells, when “pockets” exist in the effective potentials. The small parameter associated with the expansion is identified to be βV/E with β≈O(110). The WKB and variable-phase approximation for real wells are obtained in well defined limits of our expressions.

References (22)

  • R.A. Broglia et al.

    Phys. Reports

    (1972)

    Nucl. Phys.

    (1972)
    R.A. Broglia et al.

    Phys. Lett.

    (1972)
    R.A. Broglia et al.

    Phys. Reports

    (1974)
  • Preprint, Saclay...J. Knoll et al.

    Phys. Lett.

    (1974)
  • N. Austern

    Ann. of Phys.

    (1961)
  • W. Nörenberg et al.

    Introduction to the theory of heavy-ion reactions

    (1975)
  • H.L. Harney et al.
  • N. Austern

    Direct nuclear reaction theories

    (1970)
  • H.L. Harney et al.

    Z. Phys.

    (1974)
  • W.E. FrahnH.L. Harney et al.
  • R.C. Fuller

    Nucl. Phys.

    (1973)
    R.C. Fuller et al.

    Phys. Rev. Lett.

    (1974)
    K.W. McVoy

    Classical and quantum mechanical aspects of heavy-ion collisions

    Springer Lecture Notes in Physics

    (1975)
  • N. Froman et al.

    JWKB approximation

    (1965)
  • M. Berry et al.

    Rep. Prog. Phys.

    (1972)
  • Cited by (3)

    View full text