Probing alternating-parity bands in even-even nuclei within an axial quadrupole-octupole-hexadecapole collective model
Abstract
An analytic quadrupole octupole hexadecapole (QOH) axially symmetric model is used to provide a coherent framework for describing both octupole vibrations and octupole deformations in even-even nuclei. The model offers analytical solutions for the energy spectra and electric E1, E2 and E3 transition probabilities. The spectroscopic features are governed by three physically meaningful parameters: the stiffness constant c2, the hexadecapole deformation parameter ϕ02, and the sextic potential parameter α, directly linked to ϕ01π which represents the interplay between the quadrupole and octupole deformations for both even and odd angular momentum states. The model is applied across a broad range of nuclei including Ra, Th, Sm, Ba, U, Gd, Nd, Rn, Pu, Xe, and Ce isotopes, effectively capturing the characteristic properties of alternating parity bands. Detailed calculations of E1, E2, and E3 transition matrix elements have been performed for 220,222Rn, 222,224,228Ra, and 144,146Ba yielding results in good agreement with available experimental data.
Versions
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BibTeX
@misc{chabab2026probing,
title = {{Probing alternating-parity bands in even-even nuclei within an axial quadrupole-octupole-hexadecapole collective model}},
author = {M. Chabab and A. El Batoul and L. El Ouaourti},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.08294},
eprint = {2610.08294},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.08294},
}
RIS
TY - UNPB
TI - Probing alternating-parity bands in even-even nuclei within an axial quadrupole-octupole-hexadecapole collective model
AU - M. Chabab
AU - A. El Batoul
AU - L. El Ouaourti
PY - 2026
DA - 2026/10/06
PB - arXiv
DO - 10.48550/arxiv.2610.08294
UR - https://arxiv.org/abs/2610.08294
AB - An analytic quadrupole octupole hexadecapole (QOH) axially symmetric model is used to provide a coherent framework for describing both octupole vibrations and octupole deformations in even-even nuclei. The model offers analytical solutions for the energy spectra and electric E1, E2 and E3 transition probabilities. The spectroscopic features are governed by three physically meaningful parameters: the stiffness constant c_2, the hexadecapole deformation parameter ϕ_02, and the sextic potential parameter α, directly linked to ϕ_01^π which represents the interplay between the quadrupole and octupole deformations for both even and odd angular momentum states. The model is applied across a broad range of nuclei including Ra, Th, Sm, Ba, U, Gd, Nd, Rn, Pu, Xe, and Ce isotopes, effectively capturing the characteristic properties of alternating parity bands. Detailed calculations of E1, E2, and E3 transition matrix elements have been performed for ^220,222Rn, ^222,224,228Ra, and ^144,146Ba yielding results in good agreement with available experimental data.
ER -