论文标题
时间依赖性发电机坐标方法研究：耗散效应
Time-dependent generator coordinate method study of fission: dissipation effects
论文作者
论文摘要
从核集体运动的消耗量理论开始，扩展了时间依赖性的发生器坐标方法（TDGCM），以在诱导的裂变动力学描述中允许耗散效应。该扩展基于包括激发态的GCM生成函数的概括，以及集体坐标和激发能中产生的运动方程。假设狭窄的汉密尔顿内核，集体动量的功率序列的扩展会导致一个类似schrödinger的方程，该方程明确包含耗散项，与统计波函数的动量成正比。对$^{228} $ th的诱导裂变进行了说明性计算。三维模型空间包括轴向对称的四极杆和八极形状变量以及核温度。与$^{228} $ th的光诱导裂变的数据相比，计算出的裂变产率证明了额外术语在哈密顿式中的重要作用，这些术语明确考虑了集体运动能量的耗散，使其内在自由度。
Starting from a quantum theory of dissipation for nuclear collective motion, the time-dependent generator coordinate method (TDGCM) is extended to allow for dissipation effects in the description of induced fission dynamics. The extension is based on a generalization of the GCM generating functions that includes excited states, and the resulting equation of motion in the collective coordinates and excitation energy. With the assumption of a narrow hamiltonian kernel, an expansion in a power series in collective momenta leads to a Schrödinger-like equation that explicitly includes a dissipation term, proportional to the momentum of the statistical wave function. An illustrative calculation is performed for induced fission of $^{228}$Th. The three-dimensional model space includes the axially-symmetric quadrupole and octupole shape variables, and the nuclear temperature. When compared to data for photo-induced fission of $^{228}$Th, the calculated fission yields demonstrate the important role of the additional term in the hamiltonian that explicitly takes into account the dissipation of energy of collective motion into intrinsic degrees of freedom.
