Zeitschrift für Physik A Hadrons and nuclei

, Volume 205, Issue 4, pp 328–337 | Cite as

Numerisch genaue Lösungen des nichtlokalen Schalenmodells

II. Energieniveaus und Wellenfunktionen im Vergleich mit den Lösungen lokal äquivalenter Potentiale
  • Max Krell


The nonlocal Schrödinger-equation has been solved in the shell model case with a kernel-function, which is well known from optical model calculations. Now in the eigenvalue region the energies, as well as the wave-functions, of the exact and the approximate nonlocal calculations (E andE0) differ slightly on the average. The exact solutions show in general larger energy-level distances. Although these differences are small, fitting of experimental neutron binding-energies requires nevertheless a relatively big change of the set of physical parameters; the exact nonlocal calculations tend to larger potential depthV and smaller radius constantr0 than the approximate nonlocal ones. For the wave-functions (Φ andΦ0) it can be shown that an application of the Perey-effect leads to a wrong result in the shell model case. Here the difference function shows two inflection points, whereas there is only one in the optical model. The form of nuclear matter distribution thus becomes more potential-like. The eigenfunctions of the exact nonlocal calculation are orthogonal, whereas the local equivalent ones are not.


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Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • Max Krell
    • 1
    • 2
  1. 1.Institut für Neutronenphysik und Reaktortechnik im Kernforschungszentrum KarlsruheDeutschland
  2. 2.Institut für Experimentelle Kernphysik der Technischen Hochschule und des KernforschungszentrumsKarlsruhe

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