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The Interacting Boson Fermion Model and Some Applications

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

Abstract

In the IBA model, collective states in even-even nuclei are described in terms of a system of interacting s- and d-bosons. This model can be extended to odd-A nuclei by coupling the degrees of freedom of the odd nucleon to the system of bosons1. In general, the Hamiltonian for this coupled system can be written as
$$H\, = \,{H_B}\, + \,{H_F}\, + \,{H_{BF}}\,,$$
(1.1)
where HB is the usual IBA Hamiltonian which describes the system of s- and d-bosons, and HF is the Hamiltonian of the odd particle. Since only a single odd particle is coupled to the bosons, it is sufficient to consider only the one-body part of HF
$${H_F} = \,\mathop \sum \limits_{jm} \,{\varepsilon _j}\,a_{jm}^\dag \,{a_{jm}}\,.$$
(1.2)
Here, as well as in the following, the summation index j runs over.the shell model orbits in the valence shell, and εj represents the single particle energy.

Keywords

Positive Parity Single Particle Energy Single Particle Level Ground State Band Negative Parity State 
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.

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Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • O. Scholten
    • 1
  1. 1.Kernfysisch Versneller InstituutGroningenThe Netherlands

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