随机相互作用下原子核的非集体转动行为研究
The Research of"non-collective"RotationaL Behavior for Nuclei in the Presence of Random Interactions
沈佳杰 1牛子正 2姜慧1
作者信息
- 1. 上海海事大学理学院,上海 201306
- 2. 上海海事大学商船学院,上海 201306
- 折叠
摘要
随机相互作用下原子核基带能级呈现的非集体转动行为是鲁棒性的现象,即基带能级的数学期望值与角动量的平方呈正相关关系.本文在sd壳和pf壳模型空间下计算了包括24Mg、28Si、46Ca、46Ti的偶偶核以及包括21Ne、43Sc的奇质量数原子核在随机相互作用下基带的能级结构,验证了非集体转动行为在基态非零自旋以及奇质量数原子核下的鲁棒性,同时指出了数学期望值与角动量的平方的线性相关性非常好,而对于最小角动量能级大于最大角动量能级的样本,"逆"非集体转动行为也较为普遍.同时比较和讨论了偶偶核基态是否为零自旋对激发态的能级结构的影响,结果表明,当偶偶核基态自旋不为零时,基带低激发态能级顺序呈现出更多随机性.
Abstract
The non-collective rotational behavior of the yrast band is robustness for nuclei in the presence of random interac-tions,where the mathematical expectation of the energy levels of yrast state is positively correlated with the square of the an-gular momentum.In this paper,the even-even nuclei,including 24Mg、28Si、46Ca、46Ti,and odd-mass nuclei,including 21Ne、43 Sc,were calculated in the sd shell and pf shell model spaces in the presence of random interactions,which verifies the robustness of the non-collective rotational behavior in even-even nuclei with nonzero-spin ground state and odd-mass nuc-lei.Additionally,the linear correlation between the mathematical expectation of energy levels and the square of angular mo-mentum is very good.When the minimum angular momentum level is higher than the maximum angular momentum level,the phenomenon of"reverse"non-collective rotation is also prevalent.Furthermore,we compare and discuss the influence of the ground states of even-even nuclei on the structure of yrast band,the results show that the even-even nuclei with nonzero-spin ground state will exhibit more randomness of the yrast band.
关键词
随机相互作用/随机两体系综/基带/非集体转动行为Key words
random interaction/two-body random ensemble/yrast band/non-collective rotational behavior引用本文复制引用
基金项目
国家自然科学基金资助项目(11875188)
国家自然科学基金资助项目(12075169)
出版年
2024
NETL
NSTL
万方数据