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arxiv: 1907.00936 · v1 · pith:MOUHDKKXnew · submitted 2019-07-01 · ⚛️ nucl-ex · nucl-th

PCN calculations for Z=111 to Z=118

Pith reviewed 2026-05-25 11:07 UTC · model grok-4.3

classification ⚛️ nucl-ex nucl-th
keywords fusion probabilitysuperheavy nucleievaporation residue cross sectionsheavy-ion reactionsnuclear fusionZ=111 to 118capture cross sections
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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.

The paper extends prior calculations of capture and evaporation residue cross sections that emphasized the role of spin to the region of compound nuclei with Z from 111 to 118. Using the same model, it derives a new pattern for the fusion probability in these reactions. This matters for understanding how to produce superheavy elements because fusion probability directly affects expected yields. The work tests the applicability of the model in this mass range.

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

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

  • 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

Figures reproduced from arXiv: 1907.00936 by Liangyu Yao, Walter Loveland.

Figure 1
Figure 1. Figure 1: The calculated values of PCN for various exit channels as a function of the scaling variable Z1Z2 [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Comparison of the measurements of PCN in this work with that of [27] [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Comparison of our measured values of PCN with the predictions of [28] 4. Conclusions What have we learned from this study? We have extended the systematics of PCN to cases involving the synthesis of elements 111-118. We have parameterized the [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
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.

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

1 major / 0 minor

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)
  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

1 responses · 1 unresolved

We thank the referee for the careful review. We address the single major comment point by point below.

read point-by-point responses
  1. 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

standing simulated objections not resolved
  • No experimental evaporation-residue data exist for direct comparison in the ZCN = 111–118 range.

Circularity Check

1 steps flagged

New fusion-probability systematics for Z=111-118 deduced by extending authors' own prior spin-dependent model without external validation

specific steps
  1. 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

0 free parameters · 0 axioms · 0 invented entities

No information available from abstract regarding free parameters, axioms or invented entities; review is abstract-only.

pith-pipeline@v0.9.0 · 5568 in / 1138 out tokens · 42685 ms · 2026-05-25T11:07:08.388707+00:00 · methodology

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Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

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Reference graph

Works this paper leans on

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