Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model
Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model
复制标题
多维约束相对论 Hartree-Bogoliubov 模型中富中子 Zr 同位素的四面体形状
DOI：
10.1103/physrevc.95.014320
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发表时间：
2016-06
影响因子：
3.1
通讯作者：
Shan-Gui Zhou
中科院分区：
文献类型：
--
作者：
Jie Zhao;Bing-Nan Lu;En-Guang Zhao;Shan-Gui Zhou
我们发展了一个多维约束的相对论Hartree-Bogoliubov（MDC-RHB）模型，其中通过Bogoliubov变换考虑了对关联。在该模型中，假设核形状在x和y轴的反转下是不变的;即，本征对称群为V4，自洽地包含了所有形状自由度βλμ，其中μ为偶数。在轴向变形谐振子基上求解RHB方程。在MDC-RHB模型中采用了有限范围的可分离对力。用相对论泛函DD-PC 1和PC-PK 1计算了富中子偶偶Zr同位素的势能曲线，并对基态和同分异构态可能的四面体形状进行了研究。Zr 110的基态形状被预测为四面体与两个功能，所以是Zr 112与功能DD-PC 1。当考虑β32形变时，四面体基态是由Z=40和N=70附近的大能隙引起的。虽然β30形变的引入也可以降低β20=0附近的能量，并导致Zr 110附近的核具有梨状形状的最小值，但这些最小值由于它们的浅而不稳定。
We develop a multidimensionally constrained relativistic Hartree-Bogoliubov (MDC-RHB) model in which the pairing correlations are taken into account by making the Bogoliubov transformation. In this model, the nuclear shape is assumed to be invariant under the reversion of x and y axes; i.e., the intrinsic symmetry group is V4 and all shape degrees of freedom βλμ with even μ are included self-consistently. The RHB equation is solved in an axially deformed harmonic oscillator basis. A separable pairing force of finite range is adopted in the MDC-RHB model. The potential energy curves of neutron-rich even-even Zr isotopes are calculated with relativistic functionals DD-PC1 and PC-PK1 and possible tetrahedral shapes in the ground and isomeric states are investigated. The ground state shape of Zr110 is predicted to be tetrahedral with both functionals and so is that of Zr112 with the functional DD-PC1. The tetrahedral ground states are caused by large energy gaps around Z=40 and N=70 when β32 deformation is included. Although the inclusion of the β30 deformation can also reduce the energy around β20=0 and lead to minima with pear-like shapes for nuclei around Zr110, these minima are unstable due to their shallowness.
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影响因子：
64.8
作者：
J. H. Bartlett
通讯作者：
J. H. Bartlett
DOI：
10.1088/1742-6596/168/1/012009
发表时间：
2020
期刊：
Definitions
影响因子：
--
作者：
S. Lenzi
通讯作者：
S. Lenzi
DOI：
10.1142/9872
发表时间：
2016-03
期刊：
--
影响因子：
--
作者：
J. Meng
通讯作者：
J. Meng
影响因子：
64.8
作者：
E. Jones
通讯作者：
E. Jones