基于点耦合泛函的连续介质形变相对论 Hartree-Bogoliubov 理论：以偶偶 Nd 同位素为例
核理论
2020-08-19 v2 核实验
摘要
本工作的目标是发展基于点耦合密度泛函的连续介质形变相对论 Hartree-Bogoliubov（DRHBc）理论，并通过克服所有可能挑战将其扩展以对核素图中的所有偶偶核提供统一描述。核超流性通过 Bogoliubov 变换考虑。密度与势按 Legendre 多项式展开以包含轴对称形变自由度。在 Dirac-Woods-Saxon 基中求解坐标空间中的复杂相对论 Hartree-Bogoliubov 方程以考虑连续介质效应。从轻核到重核进行了数值检验。探索了构建偶偶核 DRHBc 质量表的技术。DRHBc 理论被扩展用于研究超出镁同位素的更重核。以 Nd 同位素为例，实验结合能、双中子分离能、四极形变与电荷半径均被相当好地重现。形变与连续介质在核质量描述与滴线核预言中起着本质作用。通过考察正则基中的单粒子能级及其对总密度的贡献、中子皮厚度、连续介质中的粒子数以及库仑势垒，预言了包括中子皮与质子放射性在内的奇异结构。
引用
@article{arxiv.2001.06599,
title = {Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes},
author = {Kaiyuan Zhang and Myung-Ki Cheoun and Yong-Beom Choi and Pooi Seong Chong and Jianmin Dong and Lisheng Geng and Eunja Ha and Xiaotao He and Chan Heo and Meng Chit Ho and Eun Jin In and Seonghyun Kim and Youngman Kim and Chang-Hwan Lee and Jenny Lee and Zhipan Li and Tianpeng Luo and Jie Meng and Myeong-Hwan Mun and Zhongming Niu and Cong Pan and Panagiota Papakonstantinou and Xinle Shang and Caiwan Shen and Guofang Shen and Wei Sun and Xiang-Xiang Sun and Chi Kin Tam and Thaivayongnou and Chen Wang and Sau Hei Wong and Xuewei Xia and Yijun Yan and Ryan Wai-Yen Yeung and To Chung Yiu and Shuangquan Zhang and Wei Zhang and Shan-Gui Zhou},
journal= {arXiv preprint arXiv:2001.06599},
year = {2020}
}
备注
45 pages, 17 figures, and 1 table, accepted version for Physical Review C