Shell Model Tests of the Interacting Boson Model Description of Nuclear Collective Motion

  • J. B. McGrory
Part of the Ettore Majorana International Science Series book series (EMISS)


The IBM assumes that collective behavior arises from the coupling, through the neutron-proton interaction, of the separate low-lying states systems of valence protons and neutrons defined with respect to a major shell closure. The eigenstates of the proton (neutron) systems are assumed to be constructed purely from combining two-particle “bosons” with L = 0 and L = 2 to form many-particle states. The model is capable of handling nuclear systems which are far beyond the domain of applicability of any reasonably complete shell-model calculation. It is the purpose of this report to present the results of a large shell-model calculation of pseudo-nucleus which displays striking collective behavior suggestive of rotational phenomena. In these calculations, a specific and physically reasonable single-particle structure is given to the wave functions, and an explicit two-body residual interaction is used. An analysis of the shell model wave functions of the eigenstates of the resulting K = 0 rotational bands offers strong support to a primary assumption of the IBM; i.e., wave functions which describe collective behavior can be constructed from many-particle states of valence nucleons which are constructed only from J=0 and J=2 two-particle states.


Rotational Band Rotational Behavior Interact Boson Model Truncation Scheme Valence Nucleon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    K. T. Hecht, J. B. McGrory, and J. P. Draayer, Nucl. Phys. A197, 369 (1972).ADSGoogle Scholar
  2. 2.
    I. M. Green and S. A. Moszkowski, Phys. Rev. 139B, 790 (1965).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • J. B. McGrory
    • 1
  1. 1.Oak Ridge National LaboratoryOak RidgeUSA

Personalised recommendations