论文标题
奇数-A ZR同位素的形状相变
Shape phase transitions in odd-A Zr isotopes
论文作者
论文摘要
使用核密度功能理论和粒子核耦合的框架研究了表征富含中子的奇数-A ZR同位素中形状相变的光谱特性。均匀的核心核的相互作用 - 玻色子哈密顿量，以及不成对的中子的单粒子能量和占用概率，完全由基于相对论的Hartree-Bogoliubov模型的变形约束自洽的平均均值计算来确定，并选择了通用能量密度和配对的互动。均匀的三轴$（β，γ）$变形的能量表面，即均匀的$^{94-102} $ zr表示从三重或$γ$ -soft（$^{94,96} $ zr）到prate（$^{98} $ zr）和triaxial（$ Zr）（$^{94,96} $ Zr）的过渡。奇数-A ZR同位素的相应低能激发光谱与最近的实验结果非常吻合。与相邻偶数ZR核的结构演化一致，依赖状态的有效变形及其在奇数A同位素中的波动表明围绕过渡核$^{99} $ ZR的不连续性明显不连续。
Spectroscopic properties that characterize shape phase transitions in neutron-rich odd-A Zr isotopes are investigated using the framework of nuclear density functional theory and particle-core coupling. The interacting-boson Hamiltonian of the even-even core nuclei, and the single-particle energies and occupation probabilities of the unpaired neutron are completely determined by deformation constrained self-consistent mean-field calculations based on the relativistic Hartree-Bogoliubov model with a choice of a universal energy density functional and pairing interaction. The triaxial $(β,γ)$ deformation energy surfaces for even-even $^{94-102}$Zr indicates transition from triaxial or $γ$-soft ($^{94,96}$Zr) to prolate ($^{98}$Zr), and triaxial ($^{100,102}$Zr) shapes. The corresponding low-energy excitation spectra of the odd-A Zr isotopes are in very good agreement with recent experimental results. Consistent with the structural evolution of the neighboring even-even Zr nuclei, the state-dependent effective deformations and their fluctuations in the odd-A isotopes indicate a pronounced discontinuity around the transitional nucleus $^{99}$Zr.
