Zr isotopes as a region of intertwined quantum phase transitions
Zr isotopes as a region of intertwined quantum phase transitions
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Zr 同位素作为相互交织的量子相变区域
DOI：
10.1103/physrevc.105.014305
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发表时间：
2021
影响因子：
3.1
通讯作者：
F. Iachello
中科院分区：
文献类型：
--
作者：
N. Gavrielov;A. Leviatan;F. Iachello
在核图上，A=92-110的锆同位素具有最复杂的结构演化之一。为了了解这些同位素的结构演化，我们在一个确定的基于对称性的框架下进行了详细的计算，即组态混合相互作用玻色子模型(IBM-CM)。我们将我们的计算结果与大范围的实验数据进行了比较，如能级、两个中子分离能、E_2和E_0跃迁率、同位素位移和磁矩。用缠绕量子相变(IQPT)的概念解释了这些同位素低激发态光谱的结构演化，对于IQPT，涉及两个组态的交叉的QPT(类型II)伴随着涉及每个组态的单独形状演化的QPT(类型I)。在我们的研究中，我们发现入侵者组态中I型QPT的出现，从弱形变到长形变，最后到γ不稳定，分别与IBM的U(5)，SU(3)和SO(6)动力学对称极限有关。除了I型QPT，我们还发现在正常和入侵者配置之间出现II型QPT，其中I型和II型都在A≈100附近有一个临界点。我们的计算与同位素链上大量的经验数据很好地吻合，表明了IQPTs与锆同位素的相关性，并可以作为一个案例研究，为其他原子核和其他物理系统中IQPTs的新研究开辟道路。
The zirconium isotopes with A = 92–110 have one of the most complicated evolution of structure in the nuclear chart. In order to understand the structural evolution of these isotopes, we carry a detailed calculation in a definite symmetry-based framework, the interacting boson model with configuration mixing (IBM-CM). We compare our calculation to a large range of experimental data, such as energy levels, two neutron separation energies, E2 and E0 transition rates, isotope shifts and magnetic moments. The structural evolution of the low lying spectra of these isotopes is explained using the notion of intertwined quantum phase transitions (IQPTs), for which a QPT involving a crossing of two configurations (Type II) is accompanied by a QPT involving a shape evolution of each configuration separately (Type I). In our study, we find the occurrence of Type I QPT within the intruder configuration, changing from weakly-deformed to prolate-deformed and finally to γ-unstable, associated with the U(5), SU(3) and SO(6) dynamical symmetry limits of the IBM, respectively. Alongside the Type I QPT, we also find the occurrence of Type II QPT between the normal and intruder configurations, where both Types I and II have a critical-point near A ≈ 100. The good agreement of our calculation with the vast empirical data along the chain of isotopes demonstrates the relevance of IQPTs to the zirconium isotopes, and can serve as a case study to set path for new investigations of IQPTs in other nuclei and other physical systems.