The superdeformed rotational band in ⁴²Ca is studied with the cranking covariant density functional theory complemented by a shell-model-like approach for treating the pairing correlations. The microscopic and self-consistent description of the superdeformed rotational band is obtained. The calculated energy surfaces show local minimums at (β,γ) = (0.45, 20∘) from rotational frequency ℏω 0 to 1.5MeV. The shape coexistence of spherical, normal deformation and superdeformation is found at ℏω = 1.5MeV. The single-particle levels and configurations are analyzed in details with the deformation. The configuration of the superdeformed band is figured out as (ν1f7/241d 3/2−2)⊗(π1f 7/221d 3/2−2). The single-particle Routhians indicate that the neutrons configuration plays a key role in the formation of the superdeformed band, and the change of the protons configuration at ℏω = 2.0MeV terminates the superdeformed band. The importance of pairing correlation to the superdeformed band is also studied in terms of the moments of inertia and the angular momentum.

中文翻译：

---

42Ca 超变形带的壳模型方法的启动协变密度泛函理论

⁴² Ca 中的超变形旋转带采用启动协变密度泛函理论进行研究，并辅以壳模型类方法来处理配对相关性。得到了超变形旋转带的微观自洽描述。计算的能量表面显示局部最小值(β,γ) = (0.45, 20∘)从旋转频率ℏω 0到1.5兆伏安。球形、法向变形和超变形的形状并存于ℏω = 1.5兆伏安。通过变形详细分析了单粒子水平和配置。超变形带的构型为(ν1F7/241d 3/2-2)⊗(π1F 7/221d 3/2-2). 单粒子Routhians表明中子构型在超变形带的形成中起关键作用，质子构型的变化在ℏω = 2.0MeV 终止超变形带。还根据惯性矩和角动量研究了配对相关性对超变形带的重要性。