In this work, we present a new version of the Bohr collective Hamiltonian for triaxial nuclei within deformation-dependent mass formalism (DDM) using the Hulthén potential. We shall call the developed model Z(5)-HD. Analytical expressions for energy spectra are derived by means of the recent version of the asymptotic iteration method. The calculated numerical results of energies and B(E2) transition rates are compared with the experimental data, and several theoretical results from Z(5) model, the model Z(5)-H using the Hulthén potential without DDM formalism as well as theoretical predictions of Z(5)-DD model with Davidson potential using DDM formalism. The obtained results show an overall agreement with experimental data and an important improvement in respect to the other models.

中文翻译：

---

具有Hulthén的Bohr Hamiltonian以及具有变形相关质量项的三轴核的环形势

在这项工作中，我们使用Hulthén势提出了变形形式的质量形式主义（DDM）中用于三轴核的玻尔集体哈密顿量的新版本。我们将开发的模型称为Z（5）-HD。能量谱的解析表达式是通过最新版本的渐近迭代方法得出的。将计算出的能量和B（E 2）跃迁速率的数值结果与实验数据进行比较，并从Z（5）模型，使用Hulthén势而不使用DDM形式论的Z（5）-H模型获得了一些理论结果，以及DDM的具有戴维森势的Z（5）-DD模型的理论预测形式主义。获得的结果表明与实验数据总体吻合，并且相对于其他模型而言有重要的改进。