The interacting sdf-boson-approximation model is adopted to describe the low-lying positive and negative parity states in even-even ^158−168Hf isotopes. The negative parity states are described using the sdf-IBM model by adding the L = 3 f-bosons nucleon pairs to the standard sd-boson model space. To determine the deformation of the nuclear structure of these isotopes the potential energy surfaces are calculated as functions of the deformation parameters. The reduced transition probabilities B(E2) in N = 94 are compared to the critical point symmetry X(5) predictions. In this chain, the sdf-boson interacting parameters are investigated and plotted against a number of neutrons. The shape phase transition from spherical ¹⁵⁸Hf to well-deformed ¹⁶⁸Hf nuclei is observed.

交互SDF -boson逼近模型，用来描述在偶偶低洼正面和负面的奇偶校验状态^158-168的Hf同位素。通过将L = 3 f个玻色子核对添加到标准sd玻色子模型空间中，使用sdf -IBM模型来描述负奇偶状态。为了确定这些同位素的核结构的变形，计算势能面作为变形参数的函数。将N = 94中减小的跃迁概率B（E2）与临界点对称性X（5）预测进行比较。在这个链条中，sdf研究了玻色子相互作用参数，并针对许多中子作图。观察到从球形¹⁵⁸ Hf到形变良好的¹⁶⁸ Hf核的形状相变。