Abstract
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.
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References
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Scholten, O., Dieperink, A.E.L. (1981). On the Boson-Fermion Interaction. In: Iachello, F. (eds) Interacting Bose-Fermi Systems in Nuclei. Ettore Majorana International Science Series, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1523-1_36
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DOI: https://doi.org/10.1007/978-1-4757-1523-1_36
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