# Non-equilibrium Green's function approach to low-energy fission dynamics: fluctuations in fission reactions

Source: [Non-equilibrium Green's function approach to low-energy fission dynamics: fluctuations in fission reactions](<https://www.sota2.com/research/paper/68fa47ac1e209131ce929d6c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:27:31.860Z

Authors: K. Uzawa, K. Hagino

Published: 2024-03-07T06:37:12.000Z

## Abstract

We present a microscopic modeling for a decay of a heavy compound nucleus, starting from a nucleonic degree of freedom. To this end, we develop an approach based on a non-equilibrium Green's function, which is combined with a configuration interaction (CI) approach based on a constrained density-functional theory (DFT). We apply this approach to a barrier-top fission of $^{236}$U, restricting the model space to seniority zero configurations of neutrons and protons. We particularly focus on the distribution of the fission probability. We find that it approximately follows the chi-squared distribution with the number of degrees of freedom $\\nu$ of the order of 1, which is consistent with the experimental finding. We also show that $\\nu$ corresponds to the number of eigenstates of the many-body Hamiltonian whose energy is close to the excitation energy of the system and at the same time which have significant components on both sides of a fission barrier.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2403.04255>)

[PDF](<https://arxiv.org/pdf/2403.04255.pdf>)