基于局域交换项的点耦合密度泛函的核素图

中文摘要 AI 辅助

在球近似下，采用新发展的PCF-PK1密度泛函，在相对论Hartree-Bogoliubov理论框架下初步探索了核素图。该泛函通过Fierz变换有效纳入交换项，并显式包含张量耦合。我们分析了核素图的边界以及核基态性质，包括结合能、电荷半径、α衰变能，并与其它泛函及实验进行了比较。在本计算中，预测7210个核素是束缚的，结合能的均方根偏差为7.170 MeV。通过壳隙和单粒子谱讨论了在Z=58和92处虚假壳闭合的消除。对于超重核，研究了208Pb之外的可能幻数。PCF-PK1中张量耦合的引入有助于恢复赝自旋对称性，导致在Z=120处壳闭合不那么明显。

英文摘要

Nuclear landscape is initially explored in the framework of relativistic Hartree-Bogoliubov theory under the spherical approximation, adopting the newly developed PCF-PK1 density functional. The functional effectively incorporates exchange terms via the Fierz transformation and explicitly includes the tensor coupling. We analyze the limits of the nuclear landscape and nuclear ground state properties including binding energies, charge radii, α-decay energies, compared with other functionals and experiment. In the present calculations, 7210 nuclei are predicted to be bound with the root-mean-square deviation of binding energies 7.170 MeV. The removal of spurious shell closure at Z = 58 and 92 is discussed by shell gaps and single-particle spectra. For superheavy nuclei, potential magic numbers beyond 208Pb are studied. The inclusion of the tensor coupling in PCF-PK1 helps restore the pseudospin symmetry, leading to a less pronounced shell closure at Z = 120.

发表机构

• Lanzhou University（兰州大学）
• Frontier Science Center for Rare isotope, Lanzhou University（兰州大学稀有同位素前沿科学中心）
• China Institute of Atomic Energy（中国原子能科学研究院）
• Institute for Basic Science（韩国基础科学研究院）
• Shanghai Jiao Tong University（上海交通大学）

机构由 AI 辅助整理，请以论文原文为准。