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Diffractive scattering in the Ericson model for the S matrix

  • Nuclei
  • Theory
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Abstract

The elastic scattering of spinless charged particles on nuclei is considered within the strong-absorption model proposed by Ericson for the S matrix in the angular-momentum representation. Our analytic method for summing partial-wave amplitudes, which is based on a generalization of the Abel-Plana formula, makes it possible to take into account the contributions from the possible singularities of the S matrix in the right-hand half-plane of the complex-valued variable l. The uniform asymptotic behavior obtained in the present study for the scattering amplitude offers a fresh view on the origin of the diffraction patterns in the angular distributions of elastically scattered heavy particles. Special attention is given to Coulomb-nuclear interference (in particular, to refraction phenomena) in the case of scattering into the classically allowed region (illuminated region) and the classically forbidden region (shadow region). In contrast to other analytic results, our solutions to the diffraction problem within the Ericson model do not give grounds whatsoever to draw profound analogies either with Fresnel diffraction in optics or with the phenomenon of rainbow scattering in classical mechanics.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    A. V. Shebeko & E. V. Zemlyanaya

  2. Kharkov Institute for Physics and Technology, Akademich-eskaya ul. 1, Kharkov, Ukraine

    A. V. Shebeko

Authors
  1. A. V. Shebeko
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  2. E. V. Zemlyanaya
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__________

Translated from Yadernaya Fizika, Vol. 65, No. 8, 2002, pp. 1479–1490.

Original Russian Text Copyright © 2002 by Shebeko, Zemlyanaya.

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Shebeko, A.V., Zemlyanaya, E.V. Diffractive scattering in the Ericson model for the S matrix. Phys. Atom. Nuclei 65, 1444–1455 (2002). https://doi.org/10.1134/1.1501656

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  • DOI: https://doi.org/10.1134/1.1501656

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