REVIEW 2 major objections 2 minor 77 references
Non-axial deformations in fission of 252Cf broaden spin projections on the fission axis, enable tilting rotations, and reduce axial spin-spin correlations.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
Non-axial deformations in TDDFT fission trajectories broaden spin-projection distributions, permit tilting rotations, and reduce axial spin-spin correlations while leaving perpendicular ones more stable.
T0 review reviewed 2026-06-30 challenge →
load-bearing objection Triaxial TDDFT trajectories for 252Cf fission broaden spin projections, enable tilting modes, and weaken axial correlations while perpendicular ones stay resilient, but the mean-field setup lacks validation or uncertainty checks. the 2 major comments →
Intrinsic generation of angular momenta and entanglement in fission
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
Core claim
Nuclear time-dependent density functional theory is used to investigate spin generation and entanglement of fission fragments in spontaneous fission of 252Cf, incorporating both axial and non-axial deformations. Axially symmetric fission trajectories enforce strict constraints: counter rotation (twisting mode) along the fission axis and equiprobable bending/wriggling modes perpendicular to it. Non-axial modes broaden the distributions of fission fragment spin projection on the fission axis, and allow for axial (tilting) collective rotations, which are forbidden on axially symmetric trajectories. Mutual information analysis reveals that axial-symmetry breaking reduces spin-spin correlations a
What carries the argument
Time-dependent density functional theory trajectories that include non-axial deformations, with mutual information used to quantify spin-spin entanglement.
Load-bearing premise
The chosen Skyrme-type interaction in time-dependent density functional theory produces the observed collective spin modes and entanglement without extra fitted terms for pairing, dissipation, or fluctuations beyond mean field.
What would settle it
Direct measurement of the width of spin-projection distributions along the fission axis and the mutual information between fragment spins in 252Cf fission events, compared against predictions from axial-only versus non-axial trajectories.
If this is right
- Non-axial paths produce wider distributions of fission-fragment spin projections along the fission axis.
- Tilting collective rotations appear only when axial symmetry is broken.
- Spin-spin correlations measured along the fission axis decrease once axial symmetry is lost in symmetric fission.
- Perpendicular spin correlations between fragments remain largely unchanged by the symmetry breaking.
- Triaxial degrees of freedom modify the opening-angle distribution between the two fragment spins.
Where Pith is reading between the lines
- Models that enforce axial symmetry throughout the fission path may systematically underestimate the spread in observed fragment spins.
- Measurements that separate spin correlations parallel and perpendicular to the fission axis could distinguish the contribution of non-axial trajectories.
- The resilience of perpendicular correlations suggests that certain angular observables in fission may be less sensitive to symmetry breaking than others.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript applies nuclear time-dependent density functional theory (TDDFT) to spontaneous fission of 252Cf, contrasting axially symmetric trajectories with those including non-axial deformations. It reports that non-axial modes broaden fission-fragment spin-projection distributions along the fission axis, permit axial tilting rotations forbidden under axial symmetry, and that mutual-information analysis shows axial-symmetry breaking reduces axial spin-spin correlations (while perpendicular correlations remain resilient); the impact on spin opening-angle distributions is also examined.
Significance. If robust, the work supplies a dynamical, parameter-free illustration of how triaxial degrees of freedom influence collective spin modes and fragment entanglement, a topic of interest in fission theory. The use of direct TDDFT evolution to generate the reported distributions and mutual-information values without additional fitted corrections is a methodological strength.
major comments (2)
- [Results (spin distributions and mutual information)] Results section on spin-projection distributions and mutual information: the central claim that non-axial trajectories produce broader axial spin projections and reduced axial correlations rests on the untested fidelity of the chosen Skyrme functional within mean-field TDDFT; the manuscript supplies neither comparison to measured fission-fragment spin data nor error estimates on the reported distributions.
- [Method (TDDFT setup)] Method section describing the TDDFT trajectories: no discussion is given of how post-scission de-excitation, dynamical pairing restoration, or beyond-mean-field quantum fluctuations are (or are not) incorporated, yet these effects are known to influence angular-momentum generation and could alter the reported differences between axial and non-axial cases.
minor comments (2)
- [Abstract] Abstract: the specific Skyrme parametrization employed is not named, which would aid reproducibility.
- [Figures (mutual information)] Figure captions for the mutual-information plots: axis labels and units for the mutual-information values should be stated explicitly.
Simulated Author's Rebuttal
We thank the referee for the constructive feedback. We address each major comment below and have revised the manuscript to better articulate the scope and limitations of our TDDFT calculations.
read point-by-point responses
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Referee: Results section on spin-projection distributions and mutual information: the central claim that non-axial trajectories produce broader axial spin projections and reduced axial correlations rests on the untested fidelity of the chosen Skyrme functional within mean-field TDDFT; the manuscript supplies neither comparison to measured fission-fragment spin data nor error estimates on the reported distributions.
Authors: The central claims concern the relative changes induced by breaking axial symmetry (broadening of axial spin projections, emergence of tilting modes, and reduction in axial mutual information) within a single, consistent TDDFT framework. These differences are generated dynamically by the same functional and initial conditions, so they do not rely on absolute fidelity to experiment. We agree that direct comparison to measured fragment spins and quantitative error bars are absent; such benchmarks lie outside the present scope. In revision we will add an explicit paragraph in the discussion section stating the model limitations and noting that future work should include functional benchmarking and uncertainty quantification. This is a partial revision. revision: partial
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Referee: Method section describing the TDDFT trajectories: no discussion is given of how post-scission de-excitation, dynamical pairing restoration, or beyond-mean-field quantum fluctuations are (or are not) incorporated, yet these effects are known to influence angular-momentum generation and could alter the reported differences between axial and non-axial cases.
Authors: The calculations follow the TDDFT evolution only up to the scission point, where the fragments separate while still connected by a neck. Post-scission de-excitation, dynamical pairing restoration, and beyond-mean-field fluctuations are not included. We will revise the method section to state this scope explicitly and to note that these omitted processes may modify absolute spin values and possibly the magnitude of the reported differences, although the qualitative effect of non-axial degrees of freedom on allowed collective modes is expected to remain. This is a full revision. revision: yes
Circularity Check
No circularity: results generated from TDDFT dynamical evolution
full rationale
The paper's central results on spin distributions, tilting modes, and mutual information changes are obtained directly from time-dependent density functional theory simulations of fission trajectories in 252Cf, incorporating axial and non-axial deformations. No equations reduce the reported quantities to input parameters by construction, no fitted inputs are relabeled as predictions, and no self-citation chains or ansatzes are invoked to justify the load-bearing steps. The derivation remains self-contained within the mean-field evolution under the chosen interaction.
Axiom & Free-Parameter Ledger
Cite this review
Pith. "Pith review of Intrinsic generation of angular momenta and entanglement in fission." pith.science (2026). https://pith.science/paper/AHZ367OJ
@misc{pith2026260524466,
author = {Pith},
title = {Pith review of: Intrinsic generation of angular momenta and entanglement in fission},
year = {2026},
howpublished = {\url{https://pith.science/paper/AHZ367OJ}},
note = {Machine review of arXiv:2605.24466}
}
abstract
Nuclear time-dependent density functional theory is used to investigate spin generation and entanglement of fission fragments in spontaneous fission of $^{252}$Cf, incorporating both axial and non-axial deformations. Axially symmetric fission trajectories enforce strict constraints: counter rotation (twisting mode) along the fission axis and equiprobable bending/wriggling modes perpendicular to it. Non-axial modes broaden the distributions of fission fragment spin projection on the fission axis, and allow for axial (tilting) collective rotations, which are forbidden on axially symmetric trajectories. Mutual information analysis reveals that axial-symmetry breaking reduces spin-spin correlations along the fission axis of symmetric cases, while perpendicular correlations remain more resilient. The effect of triaxial degrees of freedom on the opening angle distribution between the spins of the fission fragments is analyzed.
Figures
Reference graph
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67 × 10− 4 zs. The pairing strength parameters: -0.125 MeV for neutrons, a nd -0.210 MeV for protons, are determined by the empirical pairing gaps of 252Cf, using the three-point odd-even mass formula. The subspace Vf is selected as z > 0, where the z-axis is along the fission direction, and the interval of z is from − 30 fm to 30 fm. In the computation of...
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This paper was first reviewed by grok-4.3 on June 30, 2026.
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