We present an extended application of the analytic quadrupole octupole axially symmetric model, originally employed to study the octupole deformation and vibrations in light actinides using an infinite well potential (IW). In this work, we extend the model's applicability to a broader range of nuclei exhibiting octupole deformation by incorporating a sextic potential instead of the Davidson potential. Similarly to conventional models, such as AQOA-IW (for infinite square potential) and AQOA-D (for the Davidson potential), our proposed model is referred to as AQOA-S. By employing the sextic potential, phenomenologically represented as $v(\tilde{\beta })=a_1{\tilde{\beta }}^2+a_2{\tilde{\beta }}^4+a_3{\tilde{\beta }}^6$, we can derive analytical expressions for the energy spectra and transition rates (B(E1), B(E2), B(E3)). The energy spectra of the model are essentially governed by two critical parameters: ${\varphi }_0$, indicating the balance between octupole and quadrupole strain, and α, a key factor in adjusting the shape and behavior of the spectra through the sextic potential. In terms of applications, the study encompasses five isotopes, namely ^222−226Ra and ^224,226Th. Significantly, our model demonstrates remarkable agreement with the corresponding experimental data, particularly for the recently determined B(EL) transition rates of ²²⁴Ra, surpassing the performance of the model that employs the Davidson potential. The stability of the octupole deformation in ²²⁴Ra adds particular significance to these findings.

我们提出了解析四极八极轴对称模型的扩展应用，该模型最初用于使用无限井势（IW）研究轻锕系元素的八极变形和振动。在这项工作中，我们通过合并六次势而不是戴维森势，将该模型的适用性扩展到更广泛的表现出八极变形的核。与传统模型类似，例如 AQOA-IW（用于无限平方势）和 AQOA-D（用于戴维森势），我们提出的模型称为 AQOA-S。通过利用性潜能，现象学上表示为$v（\stackrel{～}{\beta }）=A_1{\stackrel{～}{\beta }}^2+A_2{\stackrel{～}{\beta }}^4+A_3{\stackrel{～}{\beta }}^6$，我们可以推导出能谱和跃迁速率的解析表达式（B(E1)、B(E2)、B(E3)）。模型的能谱本质上由两个关键参数控制：${\phi }_0$，表示八极和四极应变之间的平衡，而α是通过六次势调整光谱形状和行为的关键因素。在应用方面，该研究涵盖了5种同位素，即^222−226 Ra和^224,226 Th。^{值得注意的是，我们的模型与相应的实验数据表现出显着的一致性，特别是最近确定的224} Ra的 B(EL) 跃迁率，超过了采用戴维森势的模型的性能。²²⁴ Ra八极变形的稳定性为这些发现增添了特别的意义。