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Deviations from LS Coupling in the Spheroidal Core Nuclear Model

J. P. Davidson*

E. Feenberg†

  • Washington University, St. Louis, Missouri

  • Washington University, St. Louis, Missouri and Brookhaven National Laboratory, Upton, New York

  • *Submitted by J. P. Davidson in partial fulfillment of the requirements for the degree of Doctor of Philosophy at Washington University, St. Louis, Missouri. Now at Pupin Physics Laboratory, Columbia University.
  • †Visiting physicist at Brookhaven National Laboratory, summer, 1952, and visiting lecturer at Princeton University, 1952-1953.
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Phys. Rev. 89, 856 – Published 15 February, 1953

DOI: https://doi.org/10.1103/PhysRev.89.856

Abstract

Deviations of measured magnetic moments from the Schmidt limits have been interpreted in terms of a failure of LS coupling. The model of an odd nucleon coupled to a nonspherical core provides an unforced theoretical basis for this interpretation. Projection operators for pure LS coupling states are introduced and applied to compute the statistical weights of the L=I−12 and L′=I+12 components in Bohr's strong coupling wave function. The orbital gyromagnetic ratio of each component is also determined.

Numerical results on the energy displacements produced by the coupling of the odd nucleon to the distorted core are generally unfavorable to the strong coupling description. A perturbation method appropriate to a weak coupling description is more likely to provide a satisfactory solution of the dynamical problem.

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  15. Omitted endnote

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Outline

Information

Phys. Rev. 89, 856– Published 15 February, 1953
  • Received 4 November 1952

© 1953 American Physical Society

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