过渡区原子核转动带的带内及带间跃迁几率的自洽平均场研究

Recent progress in the study of superheavy elements (SHEs) has attracted a lot of attention both experimentally and theoretically. Due to the fact that the structural study of SHEs is still in its infancy, most research work has focused on the structural study of transactinides (Z=100-106). In particular, the recently observed gamma spectrascopy in alpha-decaying superheavy nuclei reveals, for the first time, the structure information of SHEs. The applicant plans to study the rotational bands in these systems in three aspects: (1) using self-consistent mean field model, perform large scale cranking calculations to estimate the deformations and moments of inertia as a function of rotational frequencies; (2) on top of (1) perform angular momentum projection calculations to obtain the wave functions with good angular momentum. Then compute the intra-band B(E2) values; (3) establish the formalism and do realistic calculations of B(E2) for inter-band transitions.

近来，超重核结构的研究在国际上引起了广泛的关注。尤其是最近有关超重原子核的伽马谱学研究已经开始向人们打开了认识超重核的结构特性的大门。由于已知的超重核结构方面的知识还处在起步阶段，理论和实验的注意力更多的投向了结构知识相对清晰的过渡区元素(Z=100-106)。本项目拟针对过渡区元素的转动能谱进行三方面的研究。首先，利用自洽平均场理论，对这一核区进行大量系统的推转计算、得到关于形变、转动惯量随着转动频率变化的信息；其次，在上一步平均场的结果之上，进行角动量投影计算，得到具有好的角动量的波函数，并以此计算带内跃迁几率、跃迁强度；最后，建立计算带间跃迁矩阵元的理论模型，并对实验上存在测量结果的跃迁进行带间跃迁几率的计算。预期可会为这一核区的结构性质提供系统可靠的认识；并进一步应用这些知识外推到超重核区，未来会给出对超重核结构可靠的理论预言。

本项目围绕低能核结构的密度泛函理论模型开展。该模型是低能核结构少数的能够计算整个核素图上所有原子核的模型。在本项目中，项目负责人主持开发了相关的计算程序两个，共计2万余行；申请人已发表两篇唯一作者文章(标注本基金号)在Physical Review C上[Y. Shi, Phys. Rev. C 98, 014329 (2018); Y. Shi, Phys. Rev. C 99, 034304 (2019)]；另有一篇第一作者唯一通讯作者发表在Physical Review C[Y. Shi, N. Hinohara, and B. Schuetrumpf, PHYSICAL REVIEW C 102, 044325 (2020)]，另一篇作为通讯作者发表在European Physical Journal A上(Eur. Phys. J. A (2020) 56:180)。