Properties of the d32-hole states in the 1f72 nuclei

Phys. Rev. C 16, 1609 – Published 1 October 1977
R. D. Lawson and A. Müller-Arnke


On the assumption that the most important configurations in the description of the 3/2+-hole states in Sc43 and Sc47 are [(πd32)-1×TiA + 1(I)](32)m (I=0+ and 2+) and [(πs12)-1×TiA + 1(2+)](32)m empirical wave functions are deduced that fit both the magnetic moments and the severely inhibited M2 decays of the states. The data require a 10-15% admixture of the πs12 hole. The fitted wave functions are compared with the shell-model eigenfunctions that are obtained when the model space consists of nucleons in the 1f72 shell and a single hole in either the 1d32 or 2s12 orbits. Although the shell-model wave functions are very similar to the empirical ones [the probability |ψ(fit)|ψ(sm)|2 is at least 0.94], the experimental data are not extremely well reproduced with these wave functions. The implications of this result are discussed in detail. Considering the fact that the values of the quantities to be described are anomalously small we conclude that this model space provides an adequate description of the 3/2+ states in question. The magnetic moment of the d32 hole state in Ti45 is calculated on the basis of the shell model and shown to be in agreement with a recent experiment.

NUCLEAR STRUCTURE Shell-model calculation for magnetic moments and M2 decays of the 32+-hole states in Sc43, Sc47, and Ti45.


  • Received 22 April 1977
  • Published in the issue dated October 1977

© 1977 The American Physical Society

Authors & Affiliations

R. D. Lawson

  • Argonne National Laboratory, Argonne, Illinois 60439
  • Nordita, Copenhagen, Denmark

A. Müller-Arnke*

  • Institut für Kernphysik, Technische Hochschule, Darmstadt, West Germany

  • *Supported by Deutsche Forschungsgemeinschaft.

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