AI 中文总结
本文介绍薛定谔集体内禀模型框架下240Pu的绝热非对称裂变路径，结合Link与Drop方法构建规则化绝热HFB路径，为后续SCIM带内禀激发的裂变计算奠定基础。
AI 中文摘要
本文是旨在介绍薛定谔集体内禀模型（Schrodinger Collective-Intrinsic Model，SCIM）首次实际应用于核裂变的三部曲系列的第一篇论文。在SCIM框架内，多体波函数将集体运动与内禀激发明确耦合，这需要一组在从基态到断点及更远处的宽形变范围内保持连续且规则的哈特-福克-博戈留波夫（Hartree-Fock-Bogoliubov，HFB）组态。本文聚焦于构建适用于后续SCIM动力学计算的绝热HFB路径。标准约束绝热路径常存在不连续性和不规则性，阻碍了该形式体系的直接应用。为解决这些挑战，我们实施了两种近期提出的基于重叠的协议：Link方法和Drop方法，并将其结合为一种新的数值流程。与精确高斯重叠近似的比较证实，所得绝热核展现出与SCIM形式体系假设一致的特性。随后对该规则化路径在断点区域进行分析，我们确定了质子和中子化学势中的特征结构、断点处颈部的显著中子富集，以及碎片粒子数分布在质子领域呈现的强奇偶交错现象。最后，利用在正则基矢中构建的微观碎片分离流程，我们提取了静态断点性质，包括碎片形变能以及碎片相互作用能的库仑和核贡献。这些结果为未来带内禀激发的SCIM计算奠定了绝热基础，并提供了240Pu断点区域的微观表征。
英文摘要
This article is the first in a trilogy aimed at presenting the first practical implementation of the Schrodinger Collective-Intrinsic Model (SCIM) applied to nuclear fission. Within the SCIM framework, the many-body wave function explicitly couples collective motion to intrinsic excitations, necessitating sets of Hartree-Fock-Bogoliubov (HFB) configurations that remain continuous and regular across a broad deformation range, from the ground state to scission and beyond. This paper focuses on constructing adiabatic HFB paths suitable for subsequent SCIM dynamical calculations. Standard constrained adiabatic paths often suffer from discontinuities and irregularities, which prevent the direct application of the formalism. To address these challenges, we implement two recently proposed overlap-based protocols, the Link and Drop methods, and combine them into a new numerical procedure.A comparison with the exact Gaussian Overlap Approximation confirms that the resulting adiabatic kernels exhibit properties consistent with the assumptions of the SCIM formalism. The regularized path is then analyzed in the scission region. We identify characteristic structures in the proton and neutron chemical potentials, a pronounced neutron enrichment of the neck at scission, and fragment particle-number distributions displaying a strong odd-even staggering in the proton sector. Finally, using a microscopic fragment-separation procedure formulated in the canonical basis, we extract static scission properties including fragment deformation energies and both Coulomb and nuclear contributions to the fragment interaction energy. These results establish the adiabatic foundations required for future SCIM calculations with intrinsic excitations and provide a microscopic characterization of the scission region in 240Pu.
Comments44 pages, 34 figures
