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An electrical model for the elastic scattering of thermal neutrons

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Zeitschrift für Physik B Condensed Matter

Abstract

In slow neutron physics, the true neutron-nucleus potential is replaced by the Fermi pseudo-potential. We discuss the adequacy of applying this potential for various elements and various values of the wave vectork. In order to do this, we form an electrical model for the Schrödinger equation that describes the elastic scattering of thermal neutrons. It is possible to obtain an analytical solution for the wave function at a sufficiently large distance from the origin. Using our model, we estimate this distance for the Fermi pseudo-potential. This serves as a criterion for discussing the adequacy of replacing the true potential with the Fermi pseudo-potential. A network approach to the numerical problem is shown to have some advantages over a purely numerical one.

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Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Belgrade, Belgrade, Yugoslavia

    A. Zecevic & M. Milic

  2. Vinca Laboratory of Solid State Physics and Radiation Chemistry, Institute for Nuclear Sciences “Boris Kidric”, P.O. Box 522, YU-11001, Belgrade, Yugoslavia

    M. Davidovic

Authors
  1. A. Zecevic
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  2. M. Milic
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  3. M. Davidovic
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Zecevic, A., Milic, M. & Davidovic, M. An electrical model for the elastic scattering of thermal neutrons. Z. Physik B - Condensed Matter 65, 133–138 (1986). https://doi.org/10.1007/BF01303838

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  • DOI: https://doi.org/10.1007/BF01303838

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