An investigation of the Nuclear Structure of Even-Even 156-170Er Isotopes

Document Type : Original Article

Authors

1 Department of Physics, Faculty of Science, Zagazig University, Zagazig, Egypt

2 Department of Physics, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt

Abstract

With the use of the Interacting Boson Model (IBM-1), our objective is to investigate the possibility of describing the nuclear structure of erbium isotopes ranging from 156Er to 170Er. In order to study the nuclear structure of particular atomic nuclei, we considered three fundamental dynamic symmetries in the model. There is a significant alignment that exists between the calculated energy levels and the experimental data gathered for some erbium isotopes. In addition to this, we calculated and compared the theoretical calculations of the model with the probability of reduced electromagnetic transitions B(E2). The study's results show that the nucleus 156Er may have features of the U(5) dynamic symmetry, while the nuclei 158, 160, 170Er may be considered as SU(3) dynamic symmetry. The erbium isotopes 156 - 160Er represent an example of the U(5)–SU(3) shape phase transition and exhibit a transition of nuclear shapes from spherical to axially symmetric deformed forms.

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