Microscopic study of low-lying energy levels and electromagnetic properties in even-even 168−178Yb 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 168−178Yb is carried out for the first time with this model, comparing theoretical results with the experimental values, where possible. The Hamiltonian includes the Q · 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.
Versions
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BibTeX
@misc{vargas2026microscopic,
title = {{Microscopic study of low-lying energy levels and electromagnetic properties in even-even $^168-178$Yb nuclei}},
author = {Carlos E. Vargas and Víctor Velázquez-Aguilar},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28763},
eprint = {2609.28763},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28763},
}
RIS
TY - UNPB
TI - Microscopic study of low-lying energy levels and electromagnetic properties in even-even ^168−178Yb nuclei
AU - Carlos E. Vargas
AU - Víctor Velázquez-Aguilar
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.28763
UR - https://arxiv.org/abs/2609.28763
AB - 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 ^168−178Yb is carried out for the first time with this model, comparing theoretical results with the experimental values, where possible. The Hamiltonian includes the Q · 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.
ER -