论文标题
诱导裂变的扩展时间依赖性发电机坐标方法研究（II）：总动能分布
Extended time-dependent generator coordinate method study of induced fission (II): total kinetic energy distribution
论文作者
论文摘要
开发了一个模型来计算时间依赖性发生器坐标方法（TDGCM）框架中裂变片段的总动能（TKE）分布，扩展到诱导裂变动力学的描述中包括耗散效应。从在这项工作第一部分中得出的统计集体波函数的时间演变的GCM Hamiltonian中的耗散项的表达式开始，可以在不同的温度下计算通过Scission Hyperface的概率电流的整合通量。在给定温度下特定片段的分裂时的动能由能量平衡公式确定。通过用概率电流的通量折叠片段的动能，可以计算出TKE分布。通过计算$^{228} $ th的TKE分布的计算，在集体坐标的3D空间中说明了该方法：轴向对称的四极杆和八振长的变形和核温度。
A model is developed to calculate the total kinetic energy (TKE) distribution of fission fragments in the framework of the time-dependent generator coordinate method (TDGCM), extended to include dissipation effects in the description of induced fission dynamics. Starting from an expression for the dissipative term in the GCM Hamiltonian that determines the time evolution of a statistical collective wave function, derived in the first part of this work, the integrated flux of the probability current through the scission hyper-surface can be computed at different temperatures. The kinetic energy at scission for a specific pair of fragments at a given temperature is determined by the energy balance formula. By folding the kinetic energies of the fragments with the flux of the probability current, the TKE distribution is calculated. The method is illustrated with a calculation of the TKE distribution for induced fission of $^{228}$Th, in the 3D space of collective coordinates: axially-symmetric quadrupole and octupole deformations, and nuclear temperature.
