论文标题

$^{96} $ zr中的八极相关性的解剖与对称性的多维协变密度理论理论

Anatomy of octupole correlations in $^{96}$Zr with a symmetry-restored multidimensionally-constrained covariant density functional theory

论文作者

Rong, Yu-Ting, Wu, Xian-Ye, Lu, Bing-Nan, Yao, Jiang-Ming

论文摘要

基于相对论重离子碰撞实验的星测量的最新分析提供了$^{96} $ ZR基态相关性的证据,其描述对核结构模型提出了挑战。在这项工作中,我们基于多维相对论的Hartree-Bogoliubov模型对$^{96} $ ZR执行投影后变体计算。我们的结果表明,在对称性恢复后能量有利于八杆的变形形状,并且在纯平均计算中不能再现这种现象。这些复杂的结构来自该质量区域的各种壳结构之间的竞争。我们的结果表明,对称性在平均场水平上破裂的允许和损坏对称性的恢复是理解$^{96} $ ZR在密度功能理论中的结构的重要元素。

A recent analysis based on the STAR measurement in relativistic heavy-ion collision experiments provides evidence of octupole correlation in the ground state of $^{96}$Zr, the description of which presents a challenge to nuclear structure models. In this work, we perform projection-after-variation calculations for $^{96}$Zr based on a multidimensionally-constrained relativistic Hartree-Bogoliubov model. Our results show that an octupole deformed shape is favored in energy after symmetry restoration, and this phenomenon cannot be reproduced in the pure mean-field calculations. These complex structures originate from the competition among various shell structures in this mass region. Our results suggest that the allowance of symmetry breaking at the mean-field level and the restoration of broken symmetries are essential elements for understanding the structure of $^{96}$Zr in density functional theories.

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