包含六分势的轴对称四极-八极模型

IF 1.7 4区 物理与天体物理 Q2 PHYSICS, NUCLEAR
M. Chabab, A. El Batoul, L. El Ouaourti
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引用次数: 0

摘要

我们介绍了解析四极八极轴对称模型的扩展应用,该模型最初用于利用无限井势(IW)研究轻锕系元素的八极变形和振动。在这项工作中,我们通过采用六分位势而不是戴维森位势,将该模型的适用性扩展到更广泛的表现出八极变形的原子核。通过使用六分位势(现象学上表示为 v(β˜)=a1β˜2+a2β˜4+a3β˜6),我们可以推导出能谱和跃迁速率(B(E1)、B(E2)、B(E3))的解析表达式。该模型的能谱基本上受两个关键参数的制约:ϕ0 表示八极应变和四极应变之间的平衡;α 是通过六极电势调整能谱形状和行为的关键因素。在应用方面,研究涵盖了五种同位素,即 222-226Ra 和 224,226Th。值得注意的是,我们的模型与相应的实验数据非常吻合,尤其是最近测定的 224Ra 的 B(EL)转变率,超过了采用戴维森势的模型。224Ra 中八极变形的稳定性为这些发现增添了特别的意义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Axially symmetric quadrupole-octupole incorporating sextic potential

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(β˜)=a1β˜2+a2β˜4+a3β˜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: ϕ0, 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.

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来源期刊
Nuclear Physics A
Nuclear Physics A 物理-物理:核物理
CiteScore
3.60
自引率
7.10%
发文量
113
审稿时长
61 days
期刊介绍: Nuclear Physics A focuses on the domain of nuclear and hadronic physics and includes the following subsections: Nuclear Structure and Dynamics; Intermediate and High Energy Heavy Ion Physics; Hadronic Physics; Electromagnetic and Weak Interactions; Nuclear Astrophysics. The emphasis is on original research papers. A number of carefully selected and reviewed conference proceedings are published as an integral part of the journal.
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