Interacting boson models of nuclear structure

書誌事項

Interacting boson models of nuclear structure

D. Bonatsos

(Oxford studies in nuclear physics, 10)

Clarendon Press , Oxford University Press, 1988

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Includes bibliographies and indexes

内容説明・目次

内容説明

The fundamental model of nuclear structure is the shell model. However, its application has been limited to light nuclei (up to the sd shell) or heavier nuclei with only a few valence nucleons outside closed shells. Its application beyond these limits has been prohibited so far by the large scale of the calculations involved. For the description of nuclei beyond the sd shell having several valence nucleons the introduction of collective models becomes necessary. The first comprehensive phenomenological model of nuclear structure was the geometric collective model of A. Bohr and B.R. Mottelson. An alternative approach was proposed in 1974 by A. Arima and F. Iachello, known as the Interacting Boson Model. This model, which uses group theoretical techniques in the description of nuclear collective properties, has the advantage of relative simplicity, allowing for detailed calculations of the properties of even medium and heavy nuclei which cannot be reached by the shell model yet. Several extensions and generalizations of the model have appeared over the last decade. Algebraic descriptions for the effects of clustering, permanent octupole deformation, and giant resonances have also been given. For the description of odd nuclei the Interacting Boson-Fermion Model has been introduced, and nuclear supersymmetries associated with it have been analysed. The present text is designed to provide physicists with an accessible introduction to the subject.

目次

  • Introduction
  • The Interacting Boson Model-1 (IBM-1)
  • Higher order interactions in IBM-1
  • Algebraic description of octupole vibrations
  • The sdg Interacting Boson Model (Sdg/IBM)
  • The Interacting Boson Model-2 (IBM-2)
  • Radial degrees of freedom
  • The Interacting Boson Models 3 and 4
  • The Nuclear Vibron Model
  • Algebraic description of asymmetric shapes in nuclei
  • Algebraic description of giant dipole resonances
  • The Interacting Boson Fermion Model
  • Nuclear supersymmetries (SUSYs!)
  • Geometrical limit of algebraic models
  • Generalized Variable Moment of Inertia models
  • Microscopic foundations of IBM

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