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arXiv 2006.07524nucl-th
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自发fission理论中的最小action和最大耦合近似

Least action and the maximum-coupling approximations in the theory of spontaneous fission

K. Hagino, G. F. Bertsch

摘要:

我们研究了组态相互作用(CI)的方法自发裂变的动力学。在该形式主义中,衰变率由耦合基态配置和裂变门口配置的有效相互作用决定,相互作用强度通过反转可能具有块三对角结构的高维CI哈密顿矩阵来确定。它示出的衰减率与块的数量呈指数下降的速率由一个矩阵的最大特征值在块空间中的Hamilton具有相同的非对角块。近似的精神相似的绝热和最小作用量近似连续表示的理论大大简化。这里,每个块由单个矩阵元素代替。虽然绝热减少低估了耦合,减少基于最大耦合近似的原理CI模型中工作良好。

英文摘要:

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.

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