发表机构
Cadi Ayyad University; National School of Applied Science（卡迪阿亚德国立大学; 国立应用科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出一个解析的四极-八极-十六极轴对称集体模型，统一描述偶偶核的八极振动与形变，通过三个参数解析求解能谱和E1、E2、E3跃迁概率，应用于多种同位素并成功再现交变宇称带特征，计算结果与实验数据吻合。
AI 中文摘要
一个解析的四极-八极-十六极（QOH）轴对称模型被用来提供一个统一的框架，用于描述偶偶核中的八极振动和八极形变。该模型为能谱以及电E1、E2和E3跃迁概率提供了解析解。光谱特征由三个具有物理意义的参数控制：刚度常数$c_2$、十六极形变参数$\phi_{02}$和六次势参数$\alpha$，后者直接与$\phi_{01}^{\pi}$相关，$\phi_{01}^{\pi}$表示四极和八极形变在偶数和奇数角动量态之间的相互作用。该模型被应用于广泛的核素范围，包括Ra、Th、Sm、Ba、U、Gd、Nd、Rn、Pu、Xe和Ce同位素，有效地捕捉了交变宇称带的特征性质。对$^{220,222}$Rn、$^{222,224,228}$Ra和$^{144,146}$Ba进行了详细的E1、E2和E3跃迁矩阵元计算，所得结果与现有实验数据吻合良好。
英文摘要
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 $^{220,222}$Rn, $^{222,224,228}$Ra, and $^{144,146}$Ba yielding results in good agreement with available experimental data.
Comments20 pages, 6 figures, published in The European Physical Journal A
Journal refEur. Phys. J. A 62, 118 (2026)
DOI：10.1140/epja/s10050-026-01885-6
