Reflection at a complex potential barrier in the semiclassical theory of scattering

Y. Avishai, J. Knoll

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Abstract

The reflection of spherical waves at a complex potential barrier is discussed in the semiclassical approximation. We study the complex WKB method and the Uniform Approximation in the special case of weakly absorptive barriers, typical of surface transparent optical potentials used in heavy-ion reactions. It is found that the complex WKB results lead to a very accurate cross- section despite their inaccuracy in the most important phase shifts. Thereby, the amazing stamina of the WKB has been confirmed once more. One of us (Y.A.) spent the summer of 1976 at the Max-Planck Institute at Heidelberg where the present work has been done. He would like to thank J. Hüfner and H. Weidenmüller for the hospitality extended to him.

Original languageEnglish
Pages (from-to)415-423
Number of pages9
JournalZeitschrift für Physik A: Atoms and Nuclei
Volume279
Issue number4
DOIs
StatePublished - 1 Dec 1976

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