包含内禀激发的裂变过程的微观描述 第三部分：薛定谔集体-内禀模型框架下240Pu沿一维非对称路径的裂变动力学
Microscopic description of the fission process including intrinsic excitations. Part III: 240Pu fission dynamics along 1D asymmetric paths within the Schrodinger Collective Intrinsic Model
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中文总结 AI 辅助
该研究聚焦薛定谔集体-内禀模型（SCIM）的动力学方程，通过正则化动力学组分、分析240Pu非对称裂变路径的动力学性质等，发现内禀激发对裂变通量贡献超80%，结果与实验一致，凸显内禀激发在裂变动力学描述中的重要性。
中文摘要 AI 辅助
本三部曲的最后一篇聚焦于薛定谔集体-内禀模型（SCIM）的动力学方程。首先，我们论证并讨论了对集体-内禀哈密顿量中绝热与激发动力学组分进行正则化的必要性，这些组分包括集体势、集体惯性张量以及集体耗散张量。特别地，我们引入萨维茨基-戈莱（Savitzky-Golay）低通滤波器，以消除与推导SCIM方程时所采用的算子对称有序乘积的二阶截断不相容的数值波动。随后，我们分析了240Pu非对称裂变路径上这三类动力学组分的对角与非对角性质。该研究凸显了中子与质子激发道的主导作用，尤其在第二势阱与断点区域，而质子-中子耦合基本可忽略不计。此外，在SCIM的绝热极限下，我们与GOA进行了对比，结果显示二者的预测极为接近。其次，我们讨论了初始波包的构建及集体-内禀薛定谔方程的数值求解。利用连续性方程，我们推导了与波函数不同组分相关联的概率通量，这使得我们能够直接获取各类激发对裂变问题最终可观测物理量的贡献。研究发现，在断点处，激发态贡献了总通量的80%以上。最后，我们评估了中子与质子碎片分布以及能量平衡，包括总动能与激发能。所得结果与现有实验数据一致，证明了在描述裂变动力学时明确纳入内禀激发的重要性。
英文摘要
This last article of the trilogy focuses on the dynamical equation of the Schrodinger Collective-Intrinsic Model (SCIM). First, we motivate and discuss the need to regularize the adiabatic and excited dynamical ingredients entering the collective-intrinsic Hamiltonian, namely the collective potential, the collective inertia tensor, and the collective dissipative tensor. In particular, we introduce a Savitzky-Golay low-pass filter to remove numerical fluctuations incompatible with the second-order truncation in the Symmetric Ordered Product of Operators used to derive the SCIM equations. The diagonal and off-diagonal properties of the three dynamical ingredients are then analyzed along the asymmetric fission path in 240Pu. This study highlights the dominant role of neutron and proton excitation channels, especially in the second well and scission regions, whereas proton-neutron couplings remain essentially negligible. Furthermore, in the adiabatic limit of the SCIM, we perform a comparison with the GOA which reveals very close predictions. Second, we discuss the construction of the initial wave packet and the numerical resolution of the collective-intrinsic Schrodinger equation. Using a continuity equation, we derive the probability fluxes associated with the different components of the wave function, which provide direct access to the contribution of the different excitations to the final observables for the fission problem. The excited states are found to account for more than 80% of the total flux at scission. Finally, we evaluate, the neutron and proton fragment distributions as well as the energy balance, including the total kinetic and excitation energies. The obtained results are found to be consistent with available experimental data and demonstrate the importance of explicitly including intrinsic excitations in the description of fission dynamics.
