论文标题
稀土核中的旋转激发：三个具有不同平均场和配对相关处理处理的曲柄模型中的比较研究
Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations
论文作者
论文摘要
三种不同的核模型研究了稀有地球ER（$ Z = 68 $），TM（$ Z = 69 $）和YB（$ Z = 70 $）的高速旋转频段。这些是（i）曲柄相对论的Hartree-Bogoliubov（CRHB）方法，通过Lipkin-Nogami（Ln）方法进行近似粒子数投影，（ii）曲柄的协同协值密度功能理论（CDFT）与由壳模的粒子（slap）或（slap）或（slap）或（slap）和（saplap）的配对相关（slap）或（slap）或（slap）或（slap）或（slap）slap-number and（slap）和（基于NILSSON电位与PNC方法处理的配对相关性基于Nilsson电位的曲柄壳模型（CSM）。这三个模型之间的详细比较在描述了均匀的ER和YB同位素的基态旋转频带中。在研究惯性矩的描述中，这些模型之间的相似性和差异讨论了所研究的偶数核的特征，平衡变形和配对能量。这些数量被认为是旋转频率，质子和中子数的函数。研究了该质量区域中第一条带交叉的性质随中子数的增加的变化。平均而言，在这些模型中可以实现可用实验数据的描述的可比精度。但是，模型预测之间的差异比第一条带交叉口大。由于基于CDFT的模型中数值计算的时间耗时，因此仅PNC-SCM对基态态和激发状态带的旋转特性进行了系统研究。除少数例外，实验性1 Quasiparticle和3 Quasiparticle带的旋转性能很好地复制了$^{165,167,169,171} $ TM。
High-spin rotational bands in rare-earth Er ($Z=68$), Tm ($Z=69$) and Yb ($Z=70$) isotopes are investigated by three different nuclear models. These are (i) the cranked relativistic Hartree-Bogoliubov (CRHB) approach with approximate particle number projection by means of the Lipkin-Nogami (LN) method, (ii) the cranking covariant density functional theory (CDFT) with pairing correlations treated by a shell-model-like approach (SLAP) or the so called particle-number conserving (PNC) method, and (iii) cranked shell model (CSM) based on the Nilsson potential with pairing correlations treated by the PNC method. A detailed comparison between these three models in the description of the ground state rotational bands of even-even Er and Yb isotopes is performed. The similarities and differences between these models in the description of the moments of inertia, the features of band crossings, equilibrium deformations and pairing energies of even-even nuclei under study are discussed. These quantities are considered as a function of rotational frequency and proton and neutron numbers. The changes in the properties of the first band crossings with increasing neutron number in this mass region are investigated. On average, a comparable accuracy of the description of available experimental data is achieved in these models. However, the differences between model predictions become larger above the first band crossings. Because of time-consuming nature of numerical calculations in the CDFT-based models, a systematic study of the rotational properties of both ground state and excited state bands in odd-mass Tm nuclei is carried out only by the PNC-SCM. With few exceptions, the rotational properties of experimental 1-quasiparticle and 3-quasiparticle bands in $^{165,167,169,171}$Tm are reproduced reasonably well.
