Nuclear Equipotential Surfaces in the Heavy Elements

Phys. Rev. C 1, 2144 – Published 1 June 1970
Richard R. Chasman

Abstract

The shifts of single-particle energy levels caused by distortions of nuclear equipotential surfaces is examined. Application of this approach is made to neutron single-particle states in the heavy-element region. Typical single-particle energy shifts are displayed in figures.

The equipotential shapes studied in this paper are axially symmetric and were obtained by the replacement ω02r2ωρ2ρ2+ωz2z2+ω02(ρ2+z2)G(z2) with G(z2) of the form G(z2)=e-AZ2ΣnBn(z2t)n

A Woods-Saxon well was used for the central field, and eigenstates of the cylindrical harmonic oscillator (|n, λ, nZ) were used as a basis set in these calculations. U235 is analyzed in detail.

DOI: http://dx.doi.org/10.1103/PhysRevC.1.2144

  • Received 20 October 1969
  • Published in the issue dated June 1970

© 1970 The American Physical Society

Authors & Affiliations

Richard R. Chasman

  • Chemistry Division, Argonne National Laboratory, Argonne, Illinois 60439

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