An outstanding problem in the theory of nuclear fission is to understand the Hamiltonian dynamics at the scission point. In this work the fissioning nucleus is modeled in self-consistent mean-field theory as a set of Generator Coordinate (GCM) configurations passing through the scission point. In contrast to previous methods, the configurations are constructed in the Hartree-Fock approximation with axially symmetric mean fields and using the K-partition numbers as additional constraints. The goal of this work is to find paths through the scission point where the overlaps between neighboring configurations are large. A measure of distance along the path is proposed that is insensitive to the division of the path into short segments. For most of the tested K-partitions two shape degrees of freedom are adequate to define smooth paths. However, some of the configurations and candidate paths have sticking points where there are substantial changes in the many-body wave function, especially if quasiparticle excitations are present. The excitation energy deposited in fission fragments arising from thermal excitations in the pre-scission configurations is determined by tracking orbital occupation numbers along the scission paths. This allows us to assess the validity of the well-known scission-point statistical model, in which the scission process is assumed to be fully equilibrated up to the separated fission fragments. The nucleus 236U is taken as a representative example in the calculations.
Survival of Pairing Correlations and Shell Effects at Scission in Finite-Temperature Nuclear Fission: Implications for Odd-Even Staggering
National Centre for Nuclear Research（国家核研究中心）；China Institute of Atomic Energy, Nuclear Data Center（中国原子能科学研究院核数据中心）；Department of Theoretical Physics, Maria Curie-Skłodowska University（玛丽亚·居里-斯克沃多夫斯卡大学理论物理系）；Department of Physics, Tsinghua University（清华大学物理系）
Microscopic description of the fission process including intrinsic excitations. Part I: 240Pu adiabatic and asymmetric fission path within the Schrodinger Collective Intrinsic Model
CEA, DAM, DIF（法国原子能委员会）；Université Paris-Saclay（巴黎萨克雷大学）；CEA, DES, IRESNE, DER, SPRC, LEPh（法国原子能委员会）；Center for Computational Simulation, Universidad Politécnica de Madrid（马德里理工大学计算模拟中心）；Departamento de Física Teórica and CIAFF, Universidad Autónoma de Madrid（马德里自治大学理论物理系及CIAFF）；Université Paris-Saclay, CNRS/IN2P3, IJCLab（巴黎萨克雷大学）；Nuclear Science Division, Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室核科学部）
Microscopic description of the fission process including intrinsic excitations. Part III: 240Pu fission dynamics along 1D asymmetric paths within the Schrodinger Collective Intrinsic Model
CEA（法国原子能和替代能源委员会）；Université Paris-Saclay（巴黎萨克雷大学）；Universidad Politécnica de Madrid（马德里理工大学）；Universidad Autónoma de Madrid（马德里自治大学）；IJCLab（伊吉克莱布实验室）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）
Dynamical selection of fragment shell effects in spontaneous fission of $^{240}$Pu, $^{232}$Th, and $^{264}$Fm
Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University（中山大学中法核工程与技术学院）；Key Laboratory of Nuclear Data, China Institute of Atomic Energy（中国原子能科学研究院核数据重点实验室）
Microscopic description of the fission process including intrinsic excitations. Part II: 240Pu excited and asymmetric fission paths within the Schrodinger Collective
CEA（法国原子能和替代能源委员会）；Université Paris-Saclay（巴黎萨克雷大学）；Universidad Politécnica de Madrid（马德里理工大学）；Universidad Autónoma de Madrid（马德里自治大学）；CNRS/IN2P3, IJCLab（法国国家科学研究中心/欧洲核子研究组织，伊夫林-雅克·卢瑟福实验室）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）
