Algebraic approach to cluster states in odd-mass nuclei. II. Electromagnetic and other properties

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Abstract

The SU(3)×U(2) limit of the vibron-fermion model introduced recently by us as an algebraic approach to cluster states in odd-mass nuclei is developed further. The electromagnetic transition operators T(E2), T(M1) and T(E1) are constructed, together with the one-nucleon transfer operators. Experimental data available for the -cluster states of the F19 nucleus are analyzed in terms of our model to test its applicability. It is found that, although some quantities are not reproduced very well, the overall performance of the model is satisfactory. Furthermore, the phenomenological operators introduced here are able to describe the most intensive transitions in the lowest order; while introducing higher-order (two- or three-body) terms they also qualitatively give account of the less intensive transitions.

Original languageEnglish
Pages (from-to)166-177
Number of pages12
JournalPhysical Review C - Nuclear Physics
Volume44
Issue number1
DOIs
Publication statusPublished - 1991

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electromagnetic properties
operators
nuclei
fermions
electromagnetism

ASJC Scopus subject areas

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

Cite this

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title = "Algebraic approach to cluster states in odd-mass nuclei. II. Electromagnetic and other properties",
abstract = "The SU(3)×U(2) limit of the vibron-fermion model introduced recently by us as an algebraic approach to cluster states in odd-mass nuclei is developed further. The electromagnetic transition operators T(E2), T(M1) and T(E1) are constructed, together with the one-nucleon transfer operators. Experimental data available for the -cluster states of the F19 nucleus are analyzed in terms of our model to test its applicability. It is found that, although some quantities are not reproduced very well, the overall performance of the model is satisfactory. Furthermore, the phenomenological operators introduced here are able to describe the most intensive transitions in the lowest order; while introducing higher-order (two- or three-body) terms they also qualitatively give account of the less intensive transitions.",
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AU - Lévai, G.

AU - Cseh, J.

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AB - The SU(3)×U(2) limit of the vibron-fermion model introduced recently by us as an algebraic approach to cluster states in odd-mass nuclei is developed further. The electromagnetic transition operators T(E2), T(M1) and T(E1) are constructed, together with the one-nucleon transfer operators. Experimental data available for the -cluster states of the F19 nucleus are analyzed in terms of our model to test its applicability. It is found that, although some quantities are not reproduced very well, the overall performance of the model is satisfactory. Furthermore, the phenomenological operators introduced here are able to describe the most intensive transitions in the lowest order; while introducing higher-order (two- or three-body) terms they also qualitatively give account of the less intensive transitions.

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