发表机构
Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University（广西师范大学，核物理与技术广西重点实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用MDC-RHB模型结合LQRPA方法，通过FAM计算集体惯量，精确描述了Rf同位素的自发裂变半衰期，结果与实验数据吻合，强调了动力学残余效应自洽处理的重要性。
AI 中文摘要
我在多维约束相对论Hartree-Bogoliubov（MDC-RHB）模型结合局域准粒子随机相位近似（LQRPA）方法下，研究了$^{254,256}$Rf的自发裂变（SF）半衰期。集体惯量采用有限振幅方法（FAM）评估，该方法能够超越传统的cranking近似，对动力学残余效应进行完全自洽的处理。有效集体势是通过从形变能面中减去振动零点能和转动能修正而构建的。SF半衰期在Wentzel-Kramers-Brillouin（WKB）近似下进行评估。与非微扰和微扰cranking近似相比，由于QRPA中包含的动力学残余相互作用，FAM-LQRPA集体惯量显著增强，尤其是在基态极小值附近。因此，预测的SF半衰期增加了几个数量级，并与实验数据一致。计算得到的SF半衰期对于$^{254}$Rf为5.65 $\mu$s，对于$^{256}$Rf为0.95 ms，两者都在相应实验值的约两个数量级范围内。这些结果表明，对动力学残余效应和超越平均场关联的自洽处理对于协变密度泛函理论中SF的定量微观描述至关重要。
英文摘要
I investigate the spontaneous-fission (SF) half-lives of $^{254,256}$Rf within the multidimensionally constrained relativistic Hartree-Bogoliubov (MDC-RHB) model combined with the local quasiparticle random-phase approximation (LQRPA) method. The collective inertia is evaluated using the finite-amplitude method (FAM), which enables a fully self-consistent treatment of dynamical residual effects beyond the conventional cranking approximation. The effective collective potential is constructed by subtracting both the vibrational zero-point energy and rotational energy correction from the deformation energy surface. The SF half-lives are evaluated within the Wentzel-Kramers-Brillouin (WKB) approximation. Compared with the nonperturbative and perturbative cranking approximation, the FAM-LQRPA collective inertia is significantly enhanced, especially around the ground-state minimum, due to the dynamical residual interaction included in the QRPA. As a consequence, the predicted SF half-lives increase by several orders of magnitude and become consistent with experimental data. The calculated SF half-lives are 5.65 $μ$s for $^{254}$Rf and 0.95 ms for $^{256}$Rf, both within approximately two orders of magnitude of the corresponding experimental values. These results indicate that a self-consistent treatment of dynamical residual effects and beyond mean-field correlations is crucial for quantitative microscopic descriptions of SF within covariant density functional theory.
Comments10 pages, 5 figures, to be appear in Physical Review C
