论文标题
自发裂变理论中的最小动作和最大耦合近似值
Least action and the maximum-coupling approximations in the theory of spontaneous fission
论文作者
论文摘要
我们研究了在构型相互作用（CI）方法中自发裂变的动力学。在这种形式主义中，衰减速率受耦合基态构型和裂变门配置的有效相互作用的控制，其相互作用强度通过倒置高维的CI Hamiltonian矩阵来确定，该矩阵可能具有块状Tridiagonal结构。结果表明，衰减速率以指数降低，块数量，块的数量由具有相同非diagonal块的哈密顿人在块空间中最大的矩阵特征值确定的速率下降。该理论通过与绝热和连续表示中的绝热近似值相似的近似值大大简化了理论。这里每个块被单个矩阵元素替换。虽然绝热还原低估了耦合，但基于最大耦合近似值的还原在示意图CI模型中效果很好。
We investigate the dynamics of spontaneous fission in a configuration-interaction (CI) approach. In that formalism the decay rate is governed by an effective interaction coupling the ground-state configuration and a fission doorway configuration, with the interaction strength determined by inverting a high-dimensioned CI Hamiltonian matrix that may have a block-tridiagonal structure. It is shown that the decay rate decreases exponentially with the number of blocks at a rate determined by the largest eigenvalue of a matrix in the block space for Hamiltonians with identical off-diagonal blocks. The theory is greatly simplified by approximations similar in spirit to the adiabatic and the least-action approximations in continuum representations. Here each block is replaced by a single matrix element. While the adiabatic reduction underestimates the coupling, a reduction based on a maximum-coupling approximation works well in a schematic CI model.
