PCN calculations for Z=111 to Z=118
Pith reviewed 2026-05-25 11:07 UTC · model grok-4.3
The pith
The fusion probability for reactions forming nuclei with Z from 111 to 118 follows a new systematics derived from spin-dependent calculations.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We extend the previous calculations which dealt with nuclei where ZCN is less than 110 to the region of ZCN = 111-118. We deduce a new systematics of the fusion probability for these reactions.
What carries the argument
Spin-dependent capture and evaporation residue cross section model
If this is right
- The model parameters remain valid for ZCN=111-118.
- New systematics allows better prediction of cross sections for heavy nuclei synthesis.
- Spin continues to play an important role in determining cross sections.
- Fusion probabilities can be calculated for additional reactions in this range.
Where Pith is reading between the lines
- The new systematics could be used to extrapolate to even heavier elements like Z=119.
- If the pattern holds, it may indicate that nuclear shell effects influence fusion in predictable ways.
- This extension supports using the same framework for planning future superheavy element experiments.
Load-bearing premise
The spin-dependent capture and evaporation residue model and associated parameters developed for ZCN less than 110 remain valid when applied to ZCN = 111-118.
What would settle it
A precise measurement of an evaporation residue cross section in a reaction with ZCN around 112 that differs markedly from the model's prediction would show the model does not transfer.
Figures
read the original abstract
In previous publications, we presented evidence for the importance of spin in determining capture and evaporation residue cross sections in the synthesis of heavy nuclei. We extend the previous calculations which dealt with nuclei where ZCN is less than 110 to the region of ZCN = 111-118. We deduce a new systematics of the fusion probability for these reactions
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript extends prior calculations of capture and evaporation-residue cross sections, previously limited to ZCN < 110, to the region ZCN = 111–118. It applies the same spin-dependent capture and evaporation-residue model to deduce a new systematics of the fusion probability for these reactions.
Significance. If the parameter transfer holds, the deduced systematics would supply practical guidance for estimating fusion probabilities in superheavy-element synthesis experiments. The work builds directly on the authors’ earlier evidence for spin dependence, but its value hinges on whether the functional forms remain valid when Z increases by 8–10 units.
major comments (1)
- [Abstract] The central claim of a new systematics for ZCN = 111–118 rests on the untested assumption that the spin-dependent parameters (controlling capture probability, angular-momentum dependence, and survival) fitted for ZCN < 110 remain valid without revision. No comparison with experimental data in the new Z range, no sensitivity study of barrier changes, and no re-fitting are presented; this assumption is load-bearing for the deduced systematics.
Simulated Author's Rebuttal
We thank the referee for the careful review. We address the single major comment point by point below.
read point-by-point responses
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Referee: [Abstract] The central claim of a new systematics for ZCN = 111–118 rests on the untested assumption that the spin-dependent parameters (controlling capture probability, angular-momentum dependence, and survival) fitted for ZCN < 110 remain valid without revision. No comparison with experimental data in the new Z range, no sensitivity study of barrier changes, and no re-fitting are presented; this assumption is load-bearing for the deduced systematics.
Authors: The manuscript applies the previously established spin-dependent capture and survival model without modification to the ZCN = 111–118 region precisely to test its implications and to extract the resulting fusion-probability systematics. We agree that transferability of the fitted parameters constitutes an assumption whose validity cannot be verified by direct data comparison, as measured evaporation-residue cross sections in this charge range are extremely sparse. No re-fitting was performed because the parameters were already fixed by the lower-Z data; the present work instead examines the predictive consequences of that parametrization. We will incorporate a brief sensitivity study of the capture-barrier parameters in the revised version to illustrate the robustness of the deduced systematics. revision: partial
- No experimental evaporation-residue data exist for direct comparison in the ZCN = 111–118 range.
Circularity Check
New fusion-probability systematics for Z=111-118 deduced by extending authors' own prior spin-dependent model without external validation
specific steps
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self citation load bearing
[Abstract]
"In previous publications, we presented evidence for the importance of spin in determining capture and evaporation residue cross sections in the synthesis of heavy nuclei. We extend the previous calculations which dealt with nuclei where ZCN is less than 110 to the region of ZCN = 111-118. We deduce a new systematics of the fusion probability for these reactions"
The load-bearing step that produces the 'new systematics' is the direct extension of the authors' own prior fitted model; the new result is therefore generated by re-applying the same spin-dependent capture and survival parameters whose functional form and numerical values were established in the cited self-references.
full rationale
The paper's derivation chain consists of applying the capture/evaporation-residue model (with its spin-dependent parameters) previously developed and fitted by the same authors for ZCN<110. The abstract explicitly frames the work as an extension of those prior publications, and the claimed 'new systematics' is obtained by re-using the same functional forms and fitted values for the higher-Z region. No independent benchmark, code release, or external constraint is cited that would make the extrapolation falsifiable outside the self-citation chain. This satisfies the 'self_citation_load_bearing' pattern at the level of the central claim, but the paper remains a straightforward parameter transfer rather than a closed self-definition, so the circularity is partial (score 6).
Axiom & Free-Parameter Ledger
Lean theorems connected to this paper
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IndisputableMonolith/Cost/FunctionalEquation or Constantswashburn_uniqueness_aczel or reality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We deduce a new systematics of the fusion probability PCN ... PCN(3n) = -0.019 Z1Z2 + 35.0 ...
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
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discussion (0)
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