arxiv: 2605.00454 · v1 · submitted 2026-05-01 · ✦ hep-ph · nucl-th

Recognition: unknown

Nuclear structure and saturation effects from diffractive vector meson production

Heikki M\"antysaari , Hendrik Roch , Bj\"orn Schenke , Chun Shen , Wenbin Zhao

Authors on Pith no claims yet

Pith reviewed 2026-05-09 19:26 UTC · model grok-4.3

classification ✦ hep-ph nucl-th

keywords ultra-peripheral collisionsvector meson productionJ/ψ productioncolor glass condensategluon saturationnuclear structuresmall-x physicsO+O collisions

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The pith

A color glass condensate model calibrated on proton and lead data predicts stronger gluon saturation suppression in diffractive J/ψ production for larger nuclei and higher energies.

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

The paper uses a saturation framework calibrated on existing photon-proton and photon-lead data to forecast exclusive vector meson production in collisions involving lighter nuclei. It calculates coherent and incoherent J/ψ cross sections for oxygen-oxygen and neon-neon ultra-peripheral collisions at LHC energies while propagating uncertainties from the calibration. The results show that the shape of the momentum transfer distribution distinguishes between different models of nuclear geometry, and that saturation reduces the production rates more as the nuclear mass grows or the energy increases. This creates a single consistent description for how gluon saturation sets in across nuclei of varying size.

Core claim

We present predictions for coherent and incoherent J/ψ production in O+O and Ne+Ne UPCs at LHC energies using an impact-parameter-dependent color glass condensate framework with JIMWLK evolution whose parameters are constrained by a recent global Bayesian analysis of γ+p and γ+Pb data. We employ several nuclear structure models and find that t-differential observables are sensitive to the chosen model. Saturation-induced suppression increases systematically with both nuclear mass number and energy.

What carries the argument

Impact-parameter-dependent color glass condensate framework with JIMWLK evolution, parameters fixed by Bayesian calibration on photon-proton and photon-lead data.

Load-bearing premise

The parameters fitted to proton and lead data remain valid when applied to the smaller oxygen and neon nuclei, and the nuclear structure models used accurately capture the geometry that matters for small-x processes.

What would settle it

A measurement of the t-differential coherent J/ψ cross section in O+O ultra-peripheral collisions at LHC energies lying well outside the uncertainty range spanned by the posterior samples from the calibration would show that the model does not transfer to these lighter nuclei as assumed.

Figures

Figures reproduced from arXiv: 2605.00454 by Bj\"orn Schenke, Chun Shen, Heikki M\"antysaari, Hendrik Roch, Wenbin Zhao.

**Figure 1.** Figure 1: and for the incoherent cross section in view at source ↗

**Figure 2.** Figure 2: FIG. 2: Incoherent J view at source ↗

**Figure 3.** Figure 3: FIG. 3: Coherent and incoherent J view at source ↗

**Figure 4.** Figure 4: FIG. 4: Coherent and incoherent J view at source ↗

**Figure 5.** Figure 5: FIG. 5: Diffractive J view at source ↗

**Figure 6.** Figure 6: FIG. 6: Nuclear modification factor in coherent J view at source ↗

**Figure 7.** Figure 7: FIG. 7: Nuclear modification factor view at source ↗

**Figure 8.** Figure 8: FIG. 8: Nuclear suppression factor ( view at source ↗

**Figure 9.** Figure 9: FIG. 9: Nuclear modification factor ( view at source ↗

**Figure 10.** Figure 10: FIG. 10: Incoherent-to-coherent cross section ratio as a func view at source ↗

read the original abstract

We study exclusive vector meson production in ultra-peripheral collisions (UPCs) of a wide range of nuclei, and assess the potential of measurements to constrain the small-$x$ structure of oxygen and neon nuclei. We employ an impact-parameter-dependent color glass condensate framework incorporating JIMWLK evolution, with parameters constrained by a recent global Bayesian analysis of $\gamma+p$ and $\gamma+\mathrm{Pb}$ data. We present predictions for coherent and incoherent $\mathrm{J}/\psi$ production in $\mathrm{O}+\mathrm{O}$ and $\mathrm{Ne}+\mathrm{Ne}$ UPCs at LHC energies, and quantify theoretical uncertainties using posterior samples from the calibration. We employ several nuclear structure models and find that $t$-differential observables are sensitive to the chosen model. We further study the mass-number dependence of saturation effects through nuclear suppression factors for coherent and incoherent vector meson production. Saturation-induced suppression increases systematically with both nuclear mass number and energy. Our results provide a unified framework for the systematic study of the onset of gluon saturation and nuclear structure at high energy, accessible in future UPC measurements at the LHC and at the Electron-Ion Collider.

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.

Desk Editor's Note private letter to a colleague

This paper extrapolates a Bayesian CGC model fitted to p and Pb data to give concrete J/psi predictions for O+O and Ne+Ne UPCs while testing nuclear structure models, but the transfer of parameters to lighter nuclei remains the main uncertainty.

read the letter

The core contribution is a set of predictions for coherent and incoherent J/psi production in oxygen-oxygen and neon-neon ultra-peripheral collisions at LHC energies. The authors take an impact-parameter-dependent dipole amplitude evolved with JIMWLK, use posterior samples from an earlier global fit to proton and lead data, and run several nuclear structure models to show that t-differential cross sections respond to the choice of geometry. They also track how saturation suppression grows with mass number and collision energy. This supplies usable numbers with uncertainty bands for light nuclei that matter for EIC planning and light-ion initial-state modeling. The handling of multiple nuclear models and the systematic mass-number scan are the parts that work cleanly and add value beyond the prior proton-lead work. The soft spot is the direct reuse of the same parameters for A=16 and A=20. Light nuclei have larger surface-to-volume ratios and possible alpha clustering that the lead calibration does not constrain, so the incoherent rates and suppression factors could move outside the reported posterior range. The paper demonstrates sensitivity to the nuclear models but does not test whether the underlying saturation scale itself needs A-dependent adjustments. This is a moderate rather than fatal limitation for an application paper. The work is aimed at small-x phenomenologists and experimental groups preparing UPC or EIC measurements. Readers who need concrete, uncertainty-quantified estimates for light nuclei will find it directly useful. The calculations are systematic and the uncertainties are propagated transparently, so the paper deserves a serious referee. I would send it to review with a note to examine the robustness of the parameter transfer to lighter systems.

Referee Report

2 major / 2 minor

Summary. The manuscript develops predictions for coherent and incoherent J/ψ production in O+O and Ne+Ne ultra-peripheral collisions at LHC energies within an impact-parameter-dependent color glass condensate framework that incorporates JIMWLK evolution. Model parameters are imported from a prior global Bayesian fit to γ+p and γ+Pb data; posterior samples are used to propagate uncertainties. The work examines sensitivity of t-differential cross sections to several nuclear structure models and quantifies the systematic increase of saturation-induced suppression with nuclear mass number A and collision energy.

Significance. If the central results hold, the paper supplies concrete, uncertainty-quantified predictions that can guide upcoming LHC measurements of light-ion UPCs and help prepare for EIC studies of nuclear small-x structure. Strengths include the use of multiple nuclear geometry models to demonstrate sensitivity and the propagation of Bayesian posterior uncertainties rather than single-point parameter choices.

major comments (2)

[Results and nuclear structure models section] The transferability of the CGC parameters (constrained exclusively on p and Pb) to A=16 and A=20 systems is load-bearing for the claimed mass-number dependence of saturation suppression and for the O/Ne predictions. The manuscript does not provide a dedicated test or additional A-dependent correction for surface diffuseness or possible α-clustering effects that are known to differ in light nuclei; this directly affects the reliability of the incoherent cross sections and the systematic trend reported in the results.
[Results section] In the discussion of t-differential observables, the separation between uncertainty arising from the choice of nuclear structure model versus the spread in the CGC posterior samples is not quantified. Because the central claim is that these observables are sensitive to nuclear geometry, an explicit decomposition (e.g., via additional tables or variance breakdown) is needed to substantiate that the model dependence exceeds the parametric uncertainty.

minor comments (2)

[Theoretical framework] The notation for the nuclear thickness function and the fluctuation model should be made fully explicit in the theoretical framework section, including any A-dependent parameters that are held fixed versus varied.
[Figures] Figure captions for the t-differential plots should state the precise kinematic cuts (W, Q², y) used for the O+O and Ne+Ne predictions to allow direct comparison with future data.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive report and the positive assessment of the work's potential impact. We address the two major comments point by point below, indicating where revisions will be made to strengthen the manuscript.

read point-by-point responses

Referee: [Results and nuclear structure models section] The transferability of the CGC parameters (constrained exclusively on p and Pb) to A=16 and A=20 systems is load-bearing for the claimed mass-number dependence of saturation suppression and for the O/Ne predictions. The manuscript does not provide a dedicated test or additional A-dependent correction for surface diffuseness or possible α-clustering effects that are known to differ in light nuclei; this directly affects the reliability of the incoherent cross sections and the systematic trend reported in the results.

Authors: We agree that parameter transferability from the global fit to proton and lead data is a central assumption underlying the mass-number trends and light-ion predictions. The impact-parameter-dependent CGC framework with JIMWLK evolution is constructed to be applicable to different nuclei once the nuclear thickness function is specified; the Bayesian posterior already encodes the uncertainty in the small-x dynamics calibrated on available data. We have explored sensitivity by employing several nuclear structure models that vary the density profiles and thus incorporate different treatments of surface diffuseness. However, we acknowledge that explicit α-clustering configurations beyond these models are not included, as no vector-meson data exist yet to constrain them for A=16,20. In the revised manuscript we will add a dedicated paragraph in the nuclear-structure section explicitly stating this limitation, its possible effect on the incoherent cross section, and the fact that the reported systematic trend with A should be viewed as a baseline prediction within the chosen geometries. This constitutes a partial revision, as a full dedicated test would require either new data or more advanced nuclear models not presently available. revision: partial
Referee: [Results section] In the discussion of t-differential observables, the separation between uncertainty arising from the choice of nuclear structure model versus the spread in the CGC posterior samples is not quantified. Because the central claim is that these observables are sensitive to nuclear geometry, an explicit decomposition (e.g., via additional tables or variance breakdown) is needed to substantiate that the model dependence exceeds the parametric uncertainty.

Authors: We thank the referee for this suggestion, which will improve the clarity of our uncertainty quantification. In the present figures the shaded bands reflect the 68% credible interval from the CGC posterior samples for a fixed nuclear geometry, while separate curves show the variation across the different nuclear structure models. To make the decomposition explicit we will add a new table (and accompanying text) that reports, for representative t-differential quantities such as the coherent slope parameter and the incoherent-to-coherent ratio, both (i) the relative width arising from the posterior spread at fixed geometry and (ii) the additional spread obtained when the nuclear model is varied. This variance breakdown will be performed at the two LHC energies considered and will directly demonstrate that the nuclear-geometry contribution is comparable to or larger than the parametric uncertainty for the observables of interest. The revised manuscript will therefore contain this quantitative separation. revision: yes

Circularity Check

0 steps flagged

No significant circularity; extrapolation to new nuclei is independent of calibration inputs

full rationale

The paper applies an impact-parameter-dependent CGC framework with JIMWLK evolution, using parameters fixed by a prior Bayesian analysis on γ+p and γ+Pb data, to generate predictions for coherent and incoherent J/ψ production in O+O and Ne+Ne UPCs. It further varies nuclear structure models to assess sensitivity of t-differential observables and mass-number dependence of saturation suppression. This constitutes a genuine extrapolation to lighter nuclei with different geometries, not a re-fit or re-derivation of the target quantities. The prior calibration is on distinct systems (A=1 and A=208) and the new results are stated to be testable by future measurements, satisfying the criterion for independent, falsifiable support. No step reduces by construction to the inputs via self-definition, fitted-parameter renaming, or load-bearing self-citation chains.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claims rest on the applicability of the impact-parameter-dependent CGC framework with JIMWLK evolution to light nuclei and on the transferability of Bayesian-fitted parameters from proton and lead data.

free parameters (1)

CGC model parameters = posterior samples from prior global fit
Constrained via Bayesian analysis of γ+p and γ+Pb data and then used for O and Ne predictions.

axioms (1)

domain assumption Impact-parameter-dependent color glass condensate framework with JIMWLK evolution accurately describes small-x gluon dynamics in nuclei
Invoked as the theoretical basis for all predictions.

pith-pipeline@v0.9.0 · 5511 in / 1378 out tokens · 27854 ms · 2026-05-09T19:26:07.114434+00:00 · methodology

discussion (0)

Reference graph

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