Microscopic study of low-lying energy levels and electromagnetic properties in even-even ${}^{168-178}$Yb nuclei

Abstract

Employing methods based on symmetries for the theoretical description of rare-earth nuclei offers many advantages. Among these, the pseudo-SU(3) shell model has proved to be a very useful method to describe characteristics of these systems and to understand various properties. A theoretical description of the low-lying energy spectrum and electromagnetic properties of isotopes ${}^{168-178}$Yb is carried out for the first time with this model, comparing theoretical results with the experimental values, where possible. The Hamiltonian includes the $Q\cdot Q$ term which preserves the symmetry, as well as the breaking symmetry of Nilsson and pairing terms. Additionally, three rotor type terms are included that allow us to make a subtle adjustment of the spectrum. The results show that the energy spectrum, the B(E2) transitions, the g-factors and the electric quadrupole moments can be described adequately with the model. Although the model is a powerful tool in the description of low-lying properties of normal parity in heavy deformed nuclei, it finds its strongest limitation in the abnormal parity sector, which has been left out of the description.

arXiv comment6 tables, 2 figures

References in corpus (14)

• Nuclear Ground-State Masses and Deformations
• The Shell Model as Unified View of Nuclear Structure
• Pseudo-spin as a Relativistic Symmetry
• The realistic collective nuclear Hamiltonian
• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• A further look at prolate dominance in nuclear deformation
• Systematics of g factors of 2_1^+ states in even-even nuclei from Gd to Pt: A microscopic description by the projected shell model
• A new study of the $N=32$ and $N=34$ shell gap for Ti and V by the first high-precision MRTOF mass measurements at BigRIPS-SLOWRI
• Pseudo SU(3) shell model: Normal parity bands in odd-mass nuclei
• Effects of Pairing in the Pseudo-SU(3) Model
• Inter-band B(E2) transition strengths in odd-mass heavy deformed nuclei
• Microscopic description of the scissors mode in odd-mass heavy deformed nuclei
• Microscopic study of neutron-rich Dysprosium isotopes
• Electromagnetic properties in ${}^{160-170}$Dy nuclei: A microscopic description by the pseudo-SU(3) shell model

Cited by in corpus (2)

• Theoretical study of normal deformed rotational bands of odd-mass ${}^{167,169,171}$Lu nuclei
• Shell-model description of collective deformation variables $\beta$ and $\gamma$ in ${}^{164-188}$Hf nuclei