Theoretical study of normal deformed rotational bands of odd-mass 167,169,171Lu nuclei
Abstract
The theoretical description of nuclear structure in rare earth nuclei represents a significant challenge for many shell models. This difficulty stems from the size of the configuration space involved. Methods based on symmetries provide significant advantages. Furthermore, the pseudo-SU(3) shell model has proven to be very useful in the description of these systems. In particular, we propose to study the energy spectra of the rotational bands with normal deformation at low and medium spin (J≤35/2), the quadrupole moments, and the deformation parameter γ associated with the states, as well as the B(E2) transition strengths in the 167,169,171Lu nuclei. The Hamiltonian includes Q · Q, Nilsson, and pairing terms, parameterized in a systematic way, in addition to three rotor-like terms that enable fine tuning of the spectra. Our calculations predict collective rotational bands with prolate normal deformation in most cases. The exception is the 1/2+ band in 171Lu with a triaxial shape. The quadrupole moments vary along the bands, increasing in absolute value with spin. The γ deformation parameter remains nearly constant along the bands, and the B(E2) values suggest bands with collective character and normal deformation. The agreement and limitations of the model are discussed.
Versions
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BibTeX
@misc{vargas2026theoretical,
title = {{Theoretical study of normal deformed rotational bands of odd-mass $^167,169,171$Lu nuclei}},
author = {Carlos E. Vargas and Víctor Velázquez-Aguilar and Jesús Ávila-Pulido},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20984},
eprint = {2609.20984},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20984},
}
RIS
TY - UNPB
TI - Theoretical study of normal deformed rotational bands of odd-mass ^167,169,171Lu nuclei
AU - Carlos E. Vargas
AU - Víctor Velázquez-Aguilar
AU - Jesús Ávila-Pulido
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.20984
UR - https://arxiv.org/abs/2609.20984
AB - The theoretical description of nuclear structure in rare earth nuclei represents a significant challenge for many shell models. This difficulty stems from the size of the configuration space involved. Methods based on symmetries provide significant advantages. Furthermore, the pseudo-SU(3) shell model has proven to be very useful in the description of these systems. In particular, we propose to study the energy spectra of the rotational bands with normal deformation at low and medium spin (J≤35/2), the quadrupole moments, and the deformation parameter γ associated with the states, as well as the B(E2) transition strengths in the ^167,169,171Lu nuclei. The Hamiltonian includes Q · Q, Nilsson, and pairing terms, parameterized in a systematic way, in addition to three rotor-like terms that enable fine tuning of the spectra. Our calculations predict collective rotational bands with prolate normal deformation in most cases. The exception is the 1/2^+ band in ^171Lu with a triaxial shape. The quadrupole moments vary along the bands, increasing in absolute value with spin. The γ deformation parameter remains nearly constant along the bands, and the B(E2) values suggest bands with collective character and normal deformation. The agreement and limitations of the model are discussed.
ER -