Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

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D. M. Nasef^*, E. T. Ellafi, S. M. El-Kadi

Department of Physics, Faculty of Science, University of Tripoli, Tripoli, Libya

^*Corresponding author. E-mail address: delenda_nasef@yahoo.com

Abstract: This theoretical study investigates the properties of even-even ^162-178₇₀Yb isotopes using the interacting vector boson model (IVBM). Our study focuses on the ground state band and negative parity band energy-level patterns, which provide insights into the shapes and symmetries of these nuclei. Furthermore, we investigate the collective properties of these isotopes, such as rotational and vibrational motion, as well as their interplay. The results of our theoretical analysis shed light on the structural evolution of ytterbium isotopes with increasing neutron numbers. The comparison of our theoretical predictions with experimental data will provide valuable insights into the nuclear structure of these isotopes and help validate the IVBM model's effectiveness in describing collective phenomena. This theoretical study employs the IVBM to investigate the dynamic symmetry of even-even ^162-178₇₀Yb isotopes. By conducting tests such as the ratio, backbending, and staggering analyses, we aim to determine the underlying symmetries governing the behavior of these isotopes. These results indicate that ¹⁶²₇₀Yb possess O(6) symmetry, ^164-166₇₀Yb have transition O(6) - SU(3) symmetry, and ^168-178₇₀Yb possess SU(3) symmetry. The study's outcomes show that the IVBM is dependable and useful for nuclear physics research because it aligns well with the corresponding experimental data.

Keywords: backbending, dynamic symmetry, midshell, nuclear model, ratio test, staggering.

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