Analysis of J/psi and psi(2S) Charmonium Production in Ultraperipheral Lead-Lead and Proton-Lead Collisions at LHC Energies
Pith reviewed 2026-06-26 20:46 UTC · model grok-4.3
The pith
A single phenomenological suppression factor aligns two-gluon exchange model predictions with LHC data on charmonium production in ultraperipheral collisions.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
When the two-gluon exchange photoproduction cross sections are implemented in STARlight and multiplied by a single phenomenological suppression factor in the PbPb channel, the resulting rapidity and transverse-momentum distributions for J/ψ and ψ(2S) agree with LHC experimental data within uncertainties and reproduce the characteristic double-peak rapidity structure; no suppression is required in the pPb channel.
What carries the argument
Two-gluon exchange model for heavy-vector-meson photoproduction cross sections, corrected by a single phenomenological suppression factor and evaluated inside the STARlight Monte Carlo for ultraperipheral collisions.
If this is right
- The corrected cross sections can be used directly for planning and interpreting future charmonium UPC measurements at the LHC.
- The absence of suppression in pPb collisions follows from the asymmetric photon fluxes and the dominance of the photoproduction branch.
- Transverse-momentum spectra retain the diffractive coherent-production pattern after the suppression is applied.
- The approach supplies a practical phenomenological bridge between the two-gluon exchange framework and existing LHC data.
Where Pith is reading between the lines
- The suppression factor may be encoding nuclear-shadowing or higher-order QCD effects that the base model omits.
- Similar single-parameter corrections could be tested for other vector mesons or for different nuclear species.
- The framework could be extended to predict yields at higher LHC luminosities or in oxygen-oxygen collisions.
Load-bearing premise
All discrepancies between the two-gluon exchange predictions and PbPb data can be absorbed into one overall multiplicative suppression factor without changing the underlying model.
What would settle it
A new measurement of the J/ψ rapidity distribution in PbPb ultraperipheral collisions at 5.02 TeV that shows a single central peak rather than the predicted double-peak structure would falsify the corrected-model claim.
Figures
read the original abstract
The two gluon exchange model serves as a key framework for describing the photoproduction of heavy vector mesons, and the photoproduction cross sections derived from it provide essential input for studies of Ultra-Peripheral Collisions (UPCs). Building on the model successful description of $J/\psi$ and $\psi(2S)$ photoproduction in previous work, we use the STARlight program to systematically investigate charmonium UPCs in PbPb and $p$Pb collisions at LHC energies. To reduce discrepancies between theoretical predictions and experimental data for rapidity and transverse momentum distributions in PbPb collisions, a phenomenological suppression factor is introduced to correct the theoretical results. We find that, in the TeV energy range, the corrected predictions agree well with experimental data within uncertainties and successfully reproduce the characteristic double-peak structure in rapidity distributions. In contrast, no significant suppression is observed in $p$Pb UPCs, which reflects the asymmetric photon fluxes and the dominant contribution from the photoproduction interaction branch. The transverse momentum distributions from STARlight simulations also match the diffractive pattern of coherent production seen experimentally, although the overall yield remains slightly overpredicted. This work further validates the applicability of photoproduction cross sections from the two gluon exchange model for charmonium UPC studies, and offers valuable phenomenological guidance for future experimental design and data analysis in UPC measurements of charmonium production.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper implements photoproduction cross sections for J/ψ and ψ(2S) from the two-gluon exchange model inside the STARlight Monte Carlo to compute charmonium yields in ultraperipheral PbPb and pPb collisions at LHC energies. A phenomenological suppression factor is introduced specifically to reduce discrepancies with PbPb data; after this correction the model is reported to agree with measured rapidity and pT distributions (including the double-peak rapidity structure) within uncertainties, while no suppression is required for pPb collisions, which the authors attribute to asymmetric photon fluxes.
Significance. The work provides a systematic comparison of the two-gluon model predictions against existing LHC UPC data in both symmetric and asymmetric systems. If the suppression factor can be replaced by a physically derived correction (e.g., from nuclear shadowing or gluon saturation calculations), the results would strengthen the case for using the two-gluon cross sections as input for future UPC phenomenology; as written, the agreement is achieved through a data-tuned rescaling whose functional form is not predicted by the underlying model.
major comments (1)
- [Abstract] Abstract: the headline claim that 'the corrected predictions agree well with experimental data within uncertainties and successfully reproduce the characteristic double-peak structure' rests entirely on the introduction of a phenomenological suppression factor 'to reduce discrepancies'; the manuscript provides no derivation of this factor from the two-gluon exchange amplitude, from nuclear parton distributions, or from a specific QCD mechanism, so the reported validation is constructed by the fit rather than emerging as a parameter-free prediction.
minor comments (1)
- [Abstract] The statement that the pT yield 'remains slightly overpredicted' should be accompanied by quantitative ratios or χ² values from the STARlight simulations versus data to allow readers to judge the size of the residual discrepancy.
Simulated Author's Rebuttal
We thank the referee for the careful reading of our manuscript and the constructive comment on the abstract. We respond to the major comment below and indicate the revision we will make.
read point-by-point responses
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Referee: [Abstract] Abstract: the headline claim that 'the corrected predictions agree well with experimental data within uncertainties and successfully reproduce the characteristic double-peak structure' rests entirely on the introduction of a phenomenological suppression factor 'to reduce discrepancies'; the manuscript provides no derivation of this factor from the two-gluon exchange amplitude, from nuclear parton distributions, or from a specific QCD mechanism, so the reported validation is constructed by the fit rather than emerging as a parameter-free prediction.
Authors: We agree that the suppression factor is phenomenological and is introduced explicitly to reconcile the two-gluon exchange model predictions with PbPb data, as already stated in the manuscript. The work does not derive this factor from the underlying amplitude or from nuclear PDFs; its purpose is to demonstrate that, once applied, the model reproduces the measured rapidity and pT distributions (including the double-peak structure) in PbPb, while no such factor is required in pPb due to the asymmetric photon fluxes. This contrast between the two systems is a central result. To address the referee's concern, we will revise the abstract to state more explicitly that the agreement is obtained after applying the phenomenological correction and is not a parameter-free prediction of the model. revision: yes
Circularity Check
Phenomenological suppression factor fitted to PbPb data constructs the claimed agreement and double-peak reproduction
specific steps
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fitted input called prediction
[Abstract]
"To reduce discrepancies between theoretical predictions and experimental data for rapidity and transverse momentum distributions in PbPb collisions, a phenomenological suppression factor is introduced to correct the theoretical results. We find that, in the TeV energy range, the corrected predictions agree well with experimental data within uncertainties and successfully reproduce the characteristic double-peak structure in rapidity distributions."
The factor is defined and applied solely to eliminate the very discrepancies whose resolution is then presented as successful model validation. Once the multiplier is chosen to restore agreement (including the double-peak shape), the 'prediction' reduces to the input fit by construction; the two-gluon model itself is not independently tested at the claimed level.
full rationale
The paper's central validation—that the two-gluon-exchange model (via STARlight) reproduces LHC PbPb data after correction—rests on a single load-bearing step: introducing a suppression factor explicitly 'to reduce discrepancies' with the same rapidity and pT distributions later claimed to agree. This matches the fitted-input-called-prediction pattern exactly; the agreement is achieved by construction rather than predicted from the underlying photoproduction cross sections. The abstract provides the direct evidence. No other circular steps (self-citation chains, ansatz smuggling, or renaming) are identifiable from the supplied text, but this one step forces the headline result.
Axiom & Free-Parameter Ledger
free parameters (1)
- phenomenological suppression factor
axioms (1)
- domain assumption The two gluon exchange model provides an accurate description of J/psi and psi(2S) photoproduction cross sections.
Reference graph
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247 ±0. 006 −0. 208 ±0. 004 1. 161 ±0. 037 1 . 949 The total cross section is obtained by integrating the differential cross section over the kinematically allowed momentum-transfer range from tmin to tmax: σ= ∫ tmax tmin dσ dt dt, (8) with tmin and tmax given by tmax(min) = m4 V 4W 2 −(pγ∓pV )2 (9) while the center-of-mass energies and momenta of the phot...
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