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arxiv: 2604.17790 · v1 · submitted 2026-04-20 · ⚛️ nucl-th · nucl-ex

A microscopic analysis of sub-barrier photo-induced fission in ²³⁶U(γ,f) based on the non-equilibrium Green function method

K. Uzawa This is my paper

Pith reviewed 2026-05-10 04:10 UTC · model grok-4.3

classification ⚛️ nucl-th nucl-ex
keywords photo-induced fissionsub-barrier fissionnon-equilibrium Green functionSkyrme-Hartree-FockBohr-Wheeleruranium-236fission cross section
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0 comments X

The pith

A microscopic NEGF model reproduces the sub-barrier fission cross section in 236U and supports the Bohr-Wheeler picture.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper uses the non-equilibrium Green function method to analyze photo-induced fission in uranium-236 below the fission barrier. It builds a model space by superposing Skyrme-Hartree-Fock wave functions along the fission path and includes particle-hole excitations to describe the process. The computed fission cross section for gamma-ray energies from 5 to 6 MeV follows the experimental trend, including the reduction below the barrier. Eigenchannel analysis reveals that the first eigenchannel dominates the fission probability, offering a microscopic view of the transition-state concept.

Core claim

Within the non-equilibrium Green function formalism, the transition from the photo-absorption channel to the fission channel is described using a model space of superposed Skyrme-Hartree-Fock wave functions along the fission path that allow particle-hole excitations. The calculated fission cross section reproduces the overall behavior of experimental data in the 5-6 MeV range, including suppression below the barrier. The first eigenchannel is found to dominate the fission probability, supporting the Bohr-Wheeler transition-state picture from a microscopic viewpoint.

What carries the argument

Non-equilibrium Green function formalism in a model space constructed from superposed Skyrme-Hartree-Fock wave functions along the fission path allowing particle-hole excitations.

If this is right

  • The fission cross section is suppressed below the fission barrier in agreement with data.
  • The first eigenchannel dominates the fission probability.
  • This result gives microscopic support to the Bohr-Wheeler transition-state picture.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The NEGF approach could be extended to predict fission probabilities in other actinides where experimental data are limited.
  • If first-eigenchannel dominance persists across nuclei, it would indicate a general quantum feature of sub-barrier fission dynamics.
  • Larger model spaces might reveal whether additional configurations alter the observed single-channel dominance.

Load-bearing premise

The superposition of Skyrme-Hartree-Fock wave functions along the fission path, including particle-hole excitations, provides a sufficient model space to capture the dynamics of the transition from photo-absorption to fission.

What would settle it

A measurement of the fission cross section for gamma energies between 5 and 6 MeV that deviates substantially from the calculated suppression below the barrier would challenge the model's validity.

Figures

Figures reproduced from arXiv: 2604.17790 by K. Uzawa.

Figure 1
Figure 1. Figure 1: FIG. 1. The fission barrier along the fission path shown [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. The photo-absorption and photo-emission transmis [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: shows the values of C for the γin and γout chan￾nels, where the ensemble average is taken over 960 eigen￾solutions of the Hermitian Hill–Wheeler equation with eigenenergies within 10 keV of E. The value of C exhibits an overall decreasing trend, together with fluctuations re￾flecting the structure of the selected basis functions. On the other hand, no additional normalization is in￾troduced for the fission… view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. The photo-induced fission transmission coefficient [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Photo-induced fission cross section calculated with [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. (a) Photo-induced fission cross section decomposed [PITH_FULL_IMAGE:figures/full_fig_p007_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. (a) Eigenchannel decomposition of the photo [PITH_FULL_IMAGE:figures/full_fig_p008_8.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Cumulative number of experimentally known levels [PITH_FULL_IMAGE:figures/full_fig_p010_10.png] view at source ↗
read the original abstract

Sub-barrier photo-induced fission in $^{236}$U$(\gamma,f)$ is investigated within the non-equilibrium Green function (NEGF) method. A model space for the fission process is constructed by superposing Skyrme-Hartree-Fock wave functions along the fission path allowing the particle-hole excitation. Then, the transition from the photo-absorption channel to the fission channel is described by the non-equilibrium Green-function formalism. The calculated fission cross section in the incident gamma-ray energy range $5 ~ {\rm MeV} \leq E_\gamma \leq 6 ~ {\rm MeV}$ reproduces the overall behavior of the experimental data, including the suppression below the fission barrier. An eigenchannel analysis of the wave propagation in the present fission model space is also performed, and the first eigenchannel is found to dominate the fission probability. This result supports the Bohr-Wheeler transition-state picture from a microscopic viewpoint.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The manuscript investigates sub-barrier photo-induced fission in $^{236}$U using the non-equilibrium Green function (NEGF) method. A model space is constructed by superposing Skyrme-Hartree-Fock wave functions along the fission path while allowing particle-hole excitations. The authors report that the calculated fission cross section for incident gamma-ray energies 5 MeV ≤ Eγ ≤ 6 MeV reproduces the overall behavior of experimental data, including suppression below the fission barrier. An eigenchannel analysis of the wave propagation shows dominance of the first eigenchannel, which the authors interpret as microscopic support for the Bohr-Wheeler transition-state picture.

Significance. If the model-space completeness and numerical robustness can be established, the work would represent a notable step toward a fully microscopic description of sub-barrier fission dynamics. It combines Skyrme-HF structure with NEGF propagation and provides a concrete test of the transition-state hypothesis, which could influence future microscopic fission modeling in nuclear theory.

major comments (2)
  1. [Abstract / Model space construction] Abstract and model-space section: The central claim that the calculated cross section reproduces experimental data (including sub-barrier suppression) is presented without any information on the Skyrme parametrization employed, the number of superposed configurations, the discretization of the fission path, basis truncation criteria, or convergence tests with respect to added particle-hole excitations. These details are load-bearing for assessing whether the reproduction is robust or partly by construction.
  2. [Eigenchannel analysis] Eigenchannel analysis: The reported dominance of the first eigenchannel and its interpretation as microscopic support for the Bohr-Wheeler picture rests on the assumption that the chosen model space contains all essential degrees of freedom for the photo-absorption to fission transition. No evidence is provided that collective modes or higher-order excitations outside the superposed Skyrme-HF + p-h space have been checked for convergence; an incomplete space could artifactually produce both the suppression and the eigenchannel dominance.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the careful reading of our manuscript and for the constructive comments. We address each major comment below and describe the revisions made to strengthen the presentation of our results.

read point-by-point responses

  1. Referee: [Abstract / Model space construction] Abstract and model-space section: The central claim that the calculated cross section reproduces experimental data (including sub-barrier suppression) is presented without any information on the Skyrme parametrization employed, the number of superposed configurations, the discretization of the fission path, basis truncation criteria, or convergence tests with respect to added particle-hole excitations. These details are load-bearing for assessing whether the reproduction is robust or partly by construction.

    Authors: We agree that these technical specifications are essential for readers to judge the robustness of the calculations. Although some of this information appears in the methods description and figure captions, it was not consolidated or sufficiently emphasized in the abstract and model-space section. In the revised manuscript we have added an explicit subsection detailing the Skyrme parametrization, the number and selection of superposed configurations, the discretization along the fission path, the basis truncation criteria, and the results of convergence tests with respect to the number of particle-hole excitations. These additions make clear that the agreement with data, including sub-barrier suppression, follows from the dynamics captured by the NEGF propagation rather than from an arbitrary choice of model-space parameters. revision: yes

  2. Referee: [Eigenchannel analysis] Eigenchannel analysis: The reported dominance of the first eigenchannel and its interpretation as microscopic support for the Bohr-Wheeler picture rests on the assumption that the chosen model space contains all essential degrees of freedom for the photo-absorption to fission transition. No evidence is provided that collective modes or higher-order excitations outside the superposed Skyrme-HF + p-h space have been checked for convergence; an incomplete space could artifactually produce both the suppression and the eigenchannel dominance.

    Authors: We acknowledge the importance of establishing that the model space is sufficiently complete. The present construction is built around the fission path and low-lying particle-hole excitations that are expected to dominate the transition, and the quantitative reproduction of the measured sub-barrier cross section provides supporting evidence that the essential physics is captured. Nevertheless, we have added to the revised manuscript an explicit discussion of the model-space limitations together with additional test calculations that incorporate selected higher-order excitations. These tests confirm that the dominance of the first eigenchannel persists. A fully exhaustive survey of every conceivable collective mode lies beyond the computational scope of the present study. revision: partial

standing simulated objections not resolved
  • Complete verification of model-space convergence against every possible collective mode and higher-order excitation outside the superposed Skyrme-HF plus particle-hole space

Circularity Check

0 steps flagged

No significant circularity in the derivation chain

full rationale

The paper constructs a model space via superposed Skyrme-Hartree-Fock states along the fission path with particle-hole excitations, then applies NEGF to propagate from photo-absorption to fission, reporting that the resulting cross section reproduces experimental behavior in 5-6 MeV and that the first eigenchannel dominates. No quoted equation or step reduces a claimed prediction to a fitted input by construction, nor does any load-bearing premise rest on a self-citation whose content is itself unverified or defined in terms of the target result. The central claims rest on the explicit NEGF propagation and eigenchannel decomposition within the stated model space, which are independent of the data reproduction claim.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Only the abstract is available; the ledger is therefore populated at the level of named techniques rather than explicit parameters or axioms.

axioms (2)
  • domain assumption Skyrme-Hartree-Fock mean-field states remain valid along the fission path when superposed with particle-hole excitations
    Invoked in the construction of the model space for the fission process
  • domain assumption Non-equilibrium Green function formalism correctly maps photo-absorption to fission probability in the chosen basis
    Central to the transition description

pith-pipeline@v0.9.0 · 5463 in / 1399 out tokens · 22013 ms · 2026-05-10T04:10:39.392891+00:00 · methodology

discussion (0)

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Reference graph

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