精确可解对力模型下锕系元素同位素的裂变势垒

Fission Barriers of Actinide Isotopes in the Exactly Solvable Pairing Model

采用精确可解对力模型研究了对关联对Th、Pa、U、Np、Pu、Am、Cm、Bk和Cf同位素裂变位垒高度的影响。研究结果表明,对关联在决定裂变位垒高度方面发挥着关键作用。具体来说,发现中子和质子配对在裂变位垒高度上的作用并非对所有同位素普遍适用,其影响取决于具体研究的同位素。当前模型计算出的势垒高度很好的反映了锕系元素同位素的相应实验数据。数值分析表明,奇偶质量差(基态特性)和势垒高度(激发态特性)可以作为实验可观测量来确定裂变过程中对相互作用强度的值。

In this paper,we investigate the impact of pairing correlations on the fission barriers of Th,Pa,U,Np,Pu,Am,Cm,Bk,and Cf isotopes using an exactly solvable pairing model.Our results show that the pairing correlation plays a crucial role in determining the fission barrier height.Specifically,we find that the role of neutron and proton pairing in fission barrier heights is not universal across all isotopes,and the exact nature of the interaction depends on the specific isotopes being studied.Our calculated barrier heights are consistent with experimental data,and we propose using the odd-even mass difference(ground-state properties)and barrier height(excited-state properties)as experimentally observable quantities to determine the pairing interaction strengths in the fission process.