首页|随机相互作用下原子核的非集体转动行为研究

随机相互作用下原子核的非集体转动行为研究

扫码查看
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.
The Research of"non-collective"RotationaL Behavior for Nuclei in the Presence of Random Interactions
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.

random interactiontwo-body random ensembleyrast bandnon-collective rotational behavior

沈佳杰、牛子正、姜慧

展开 >

上海海事大学理学院,上海 201306

上海海事大学商船学院,上海 201306

随机相互作用 随机两体系综 基带 非集体转动行为

国家自然科学基金资助项目国家自然科学基金资助项目

1187518812075169

2024

原子核物理评论
中国科学院近代物理研究所,中国核物理学会

原子核物理评论

CSTPCD北大核心
影响因子:0.181
ISSN:1007-4627
年,卷(期):2024.41(1)