arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1902.09535nucl-th
收藏

含时generator坐标方法研究锕系元素质量非对称fission

Time-dependent generator coordinate method study of mass-asymmetric fission of actinides

Jie Zhao, Jian Xiang, Zhi-Pan Li, Tamara Nikšić, Dario Vretenar, Shan-Gui Zhou

摘要:

基于高斯重叠近似(GOA)的生成坐标方法(GCM),在统一的理论框架下研究了锕系元素核的低能正宇称和负宇称集体态的最小平衡态以及诱导裂变动力学.集体势和惯性张量,在零温度和有限温度下,使用自洽的多维约束相对论平均场(MDC-RMF)模型计算,基于能量密度功能DD-PC 1。在BCS近似中,用有限范围的可分离对力处理配对关联。一个集体四极-八极哈密顿量的特点是零温轴对称变形能面和微扰曲柄惯性张量,被用来模拟低的激发谱。裂变碎片的电荷分布是通过传播的初始集体态的时间与时间相关的GCM+GOA,使用相同的四极八极哈密顿量,但与集体势和惯性张量计算在有限的温度下。$^{228}$ Th、$^{234}$ U、$^{240}$ Pu、$^{244}$ Cm和$^{250}$ Cf的电荷产额与实验结果非常一致,预测的质量不对称性与最近的显微镜研究结果一致,该研究将碎片核的分布(峰值)归因于壳稳定八极形变。

英文摘要:

Low-energy positive and negative parity collective states in the equilibrium minimum, and the dynamics of induced fission of actinide nuclei are investigated in a unified theoretical framework based on the generator coordinate method (GCM) with the Gaussian overlap approximation (GOA). The collective potential and inertia tensor, both at zero and finite temperature, are computed using the self-consistent multidimensionally constrained relativistic mean field (MDC-RMF) model, based on the energy density functional DD-PC1. Pairing correlations are treated in the BCS approximation with a separable pairing force of finite range. A collective quadrupole-octupole Hamiltonian characterized by zero-temperature axially-symmetric deformation energy surface and perturbative cranking inertia tensor, is used to model the low-lying excitation spectrum. The fission fragment charge distributions are obtained by propagating the initial collective states in time with the time-dependent GCM+GOA that uses the same quadrupole-octupole Hamiltonian, but with the collective potential and inertia tensor computed at finite temperature. The illustrative charge yields of $^{228}$Th, $^{234}$U, $^{240}$Pu, $^{244}$Cm, and $^{250}$Cf are in very good agreement with experiment, and the predicted mass asymmetry is consistent with the result of a recent microscopic study that has attributed the distribution (peak) of the heavier-fragment nuclei to shell-stabilized octupole deformations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑