Algebraic approach to cluster states in odd-mass nuclei. I. Energy spectrum

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Abstract

An extension of the U(3) limit of the vibron model is proposed to incorporate fermionic degrees of freedom in the algebraic model of nuclear clusterization. This approach enables us to treat explicitly nucleons or holes occupying single-particle states of an oscillator shell in one of the clusters. The dynamical symmetries of the vibron-fermion model built on the U(3) boson dynamical symmetry are explored, and the coupled vibron-fermion bases are constructed. Closed expressions are obtained for the energy spectrum in each case. We suggest that the -cluster states of the F19 nucleus may be good examples for the application of the SU(3)×U(2) dynamical symmetry. This phenomenologic algebraic model shows some similarity with the local potential cluster model of Buck et al.

Original languageEnglish
Pages (from-to)152-165
Number of pages14
JournalPhysical Review C - Nuclear Physics
Volume44
Issue number1
DOIs
Publication statusPublished - 1991

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energy spectra
nuclei
symmetry
fermions
nucleons
bosons
degrees of freedom
oscillators

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Algebraic approach to cluster states in odd-mass nuclei. I. Energy spectrum. / Lévai, G.; Cseh, J.

In: Physical Review C - Nuclear Physics, Vol. 44, No. 1, 1991, p. 152-165.

Research output: Contribution to journalArticle

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