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PreprintarXiv licencearXiv

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.

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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  -