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Isospin degree of freedom in even-even 68-76Ge and 62-70Zn isotopes

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Abstract.

The introduction of isotopic spin is significant in light nuclei as Ge and Zn isotopes in order to take into account isospin effects on energy spectra. Dynamical symmetries in spherical, \(\gamma\)-soft limits and transition in the interacting boson model IBM-3 are analyzed. Analytic expressions and exact eigenenergies, electromagnetic transitions probabilities are obtained for the transition between spherical and \(\gamma\)-soft shapes by using the Bethe ansatz within an infinite-dimensional Lie algebra in light mass nuclei. The corresponding algebraic structure and reduction chain are studied in IBM-3. For examples, the nuclear structure of the 68-76Ge and 62-70Zn isotopes is calculated in IBM-3 and compared with experimental results.

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Authors and Affiliations

  1. Department of Physics, University of Tabriz, 51664, Tabriz, Iran

    A. Jalili Majarshin

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  1. A. Jalili Majarshin
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Correspondence to A. Jalili Majarshin.

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Communicated by F. Gulminelli

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Jalili Majarshin, A. Isospin degree of freedom in even-even 68-76Ge and 62-70Zn isotopes. Eur. Phys. J. A 54, 11 (2018). https://doi.org/10.1140/epja/i2018-12448-y

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