Eur. Phys. J. A (2018) 54: 11
https://doi.org/10.1140/epja/i2018-12448-y

Regular Article - Theoretical Physics

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

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

^* e-mail: jalili@tabrizu.ac.ir

Received: 21 September 2017
Accepted: 13 December 2017
Published online: 31 January 2018

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, -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 -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.