On the Boson-Fermion Interaction

  • O. Scholten
  • A. E. L. Dieperink
Part of the Ettore Majorana International Science Series book series (EMISS, volume 10)


Since it has become increasingly evident that the IBA model and its extension to odd-A nuclei provides at the level of phenomenology an extremely successful description of nuclear collective phenomena, a microscopic understanding of the model is clearly of considerable interest. For the case of even-even nuclei Arima et al.1 have proposed a method to derive the main properties of the boson-boson interaction from a shell model picture. Application of this method by Otsuka2 to realistic cases has been shown to give promising results. In the present contribution the boson-fermion3 interaction, that enters in the description of odd-A nuclei, is derived from the shell model interaction between fermions. The latter has two main characteristics: i) a strong pairing force between the like nucleons, and ii) a quadrupole-quadrupole interaction between neutrons and protons. In terms of boson-boson interactions the former gives rise to attractive binding energies of the s- and d-bosons, whereas the latter leads to the quadrupole-quadrupole force between the neutron and proton bosons. It will be shown in this contribution that this interaction also plays a dominant role in the coupling of the odd-fermion to the bosons in the core4.


Shell Model Creation Operator Quadrupole Operator Seniority State Radial Matrix Element 


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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • O. Scholten
    • 1
  • A. E. L. Dieperink
    • 1
  1. 1.Kernfysisch Versneller InstituutUniversity of GroningenThe Netherlands

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