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REVIEW 3 major objections 4 minor 66 references

Measurement of inclusive $J/\psi$ production in Au+Au collisions at $\sqrt{s_\mathrm{NN}} = 54.4$ GeV at STAR

T0 review · 3 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read The paper establishes that inclusive $J/\psi$ production in 54.4 GeV Au+Au collisions is suppressed, and that the nuclear modification factor $R_{\mathrm{AA}}$ in central collisions shows no significant energy dependence between 17.3 and…

desk verdict A careful, much-needed J/psi measurement at 54.4 GeV that confirms the flat suppression picture; the interpolated p+p reference is the one caveat worth pushing on. read the letter →

arxiv 2506.20962 v2 pith:F5ADR7LR submitted 2025-06-26 nucl-ex hep-ex

The STAR Collaboration This is my paper
classification nucl-exhep-ex
keywords J/psisuppressionnuclearmodificationfactorquark-gluonplasmaheavy-ioncollisionsRHICbeamenergyscancharmoniumdielectronchannel54.4GeVAu+Au
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The experiment reports a new measurement of inclusive $J/\psi$ production at midrapidity in 54.4 GeV Au+Au collisions, reconstructed through dielectrons from about 593 million selected events. The paper establishes that the $J/\psi$ yield is suppressed relative to a scaled $p$+$p$ baseline, and that the nuclear modification factor $R_{\mathrm{AA}}$ in central collisions shows no significant energy dependence between 17.3 and 200 GeV. This matters because the 54.4 GeV point fills the largest gap in the RHIC beam energy scan with better precision than the neighboring 39 and 62.4 GeV measurements, so it tests whether quarkonium suppression really is energy-independent or just looks that way within large errors. Two transport model calculations that include dissociation, regeneration, and cold nuclear matter effects are consistent with the data within uncertainties.

What carries the argument

The analysis is carried by the nuclear modification factor $R_{\mathrm{AA}} = (\mathrm{d}N_{\mathrm{AA}}/\mathrm{d}p_{\mathrm{T}}\mathrm{d}y) / ((\langle N_{\mathrm{coll}}\rangle/\sigma^{\mathrm{inel}}_{pp})\,\mathrm{d}\sigma_{pp}/\mathrm{d}p_{\mathrm{T}}\mathrm{d}y)$ and its centrality-ratio counterpart $R_{\mathrm{CP}}$. Because no $p$+$p$ measurement exists at 54.4 GeV, the $p$+$p$ baseline is interpolated from a data-driven parameterization of inclusive $J/\psi$ cross sections covering $\sqrt{s} = 6.8$ to 7000 GeV world data, giving $14.39 \pm 1.57$ nb, with the interpolation uncertainty propagated as a global systematic. The $J/\psi$ signal is extracted from the dielectron invariant-mass distribution using a Crystal-Ball signal shape, mixed-event combinatorial background, and a polynomial residual background, with efficiencies obtained from embedding and data-driven particle identification.

What would settle it

A direct measurement of the inclusive $J/\psi$ cross section at $\sqrt{s} = 54.4$ GeV in $p$+$p$ collisions would settle whether the suppression pattern is real; a baseline shifted by more than the quoted $\pm 1.57$ nb would move $R_{\mathrm{AA}}$ by the corresponding inverse factor. Comparing $R_{\mathrm{CP}}$, which needs no $p$+$p$ reference, with the same centrality dependence of $R_{\mathrm{AA}}$ would expose reference-driven shifts.

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Extended reading notes

Core claim

The central claim is that inclusive $J/\psi$ suppression in Au+Au collisions is essentially flat as a function of collision energy from $\sqrt{s_{\mathrm{NN}}} = 17.3$ to 200 GeV, with the new 54.4 GeV $R_{\mathrm{AA}}$ agreeing within uncertainties with the 39 and 62.4 GeV results while improving the precision. The paper also reports a centrality-dependent suppression, with hints of stronger suppression in central collisions and at low $p_{\mathrm{T}}$, while $R_{\mathrm{CP}}$ shows no significant energy dependence among RHIC energies. The measured ratio $r_{\mathrm{AA}} = \langle p_{\mathrm{T}}^2\rangle_{\mathrm{AA}}/\langle p_{\mathrm{T}}^2\rangle_{pp}$ is flat versus centrality at 54.4 GeV and follows the trend established at other collision energies.

Load-bearing premise

The $R_{\mathrm{AA}}$ values rest on an interpolated $p$+$p$ reference cross section that is not measured at 54.4 GeV; if the global parameterization is biased, every $R_{\mathrm{AA}}$ point and the flat energy-dependence conclusion shift with it.

Editorial extensions

If this is right

  • The flat $R_{\mathrm{AA}}$ pattern from SPS to RHIC top energy becomes a precision statement rather than a large-error coincidence.
  • The new 54.4 GeV data give transport models a third RHIC energy, between 39 and 62.4 GeV, with which to separate regeneration from dissociation contributions.
  • The measured $\langle p_{\mathrm{T}}^2\rangle$ ratio $r_{\mathrm{AA}}$ quantifies the transverse-momentum broadening and constrains cold nuclear matter effects such as the Cronin enhancement.
  • The $R_{\mathrm{CP}}$ results, which avoid the $p$+$p$ baseline, independently confirm that suppression grows toward central collisions at 54.4 GeV.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If a future direct $p$+$p$ cross-section measurement at 54.4 GeV differs from the interpolated baseline, all $R_{\mathrm{AA}}$ values would shift inversely, while $R_{\mathrm{CP}}$ would be largely unaffected; comparing the two therefore isolates the reference uncertainty.
  • The flat pattern up to 200 GeV leaves the LHC rise in $R_{\mathrm{AA}}$ as the clearest sign that regeneration becomes dominant, so a precision measurement between 200 GeV and 2.76 TeV would be the natural next test.
  • Extending the same analysis to the SPS energy of 17.3 GeV would discriminate between the two transport models, since one of them currently underestimates the low-energy data point.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. This paper presents STAR measurements of inclusive J/ψ production in 0-60% central Au+Au collisions at √sNN = 54.4 GeV, using 593 million minimum-bias events and the e+e− decay channel. The analysis extracts pT- and centrality-differential invariant yields, R_AA relative to an interpolated p+p baseline, and R_CP relative to the 40-60% centrality bin, together with ⟨pT2⟩ and r_AA. The main physics claim is that central R_AA shows no significant collision energy dependence between 17.3 and 200 GeV, with the new 54.4 GeV point consistent with previous 39, 62.4, and 200 GeV data and with two transport model calculations.

Significance. If confirmed, the measurement is a valuable addition to the RHIC beam energy scan charmonium program: it provides a high-statistics midrapidity data point at an energy where the p+p baseline is not directly measured, with a careful treatment of electron PID, embedding efficiencies, and systematic uncertainties. The paper is transparent about the interpolated baseline and reports quantitative systematic uncertainties. The R_CP measurement is baseline-free and therefore robust, and the comparison to transport models offers falsifiable constraints. The main limitation is that the absolute normalization of R_AA depends on an unmeasured reference, so the flatness claim should be robustified with additional baseline validation.

major comments (3)
  1. [Section 3, Eq. (4)] The 54.4 GeV R_AA is normalized by the interpolated inclusive J/ψ production cross section, Br dσ/dy = 14.39 ± 1.57 nb, taken from Ref. [59]. Because this baseline is derived from a global parameterization of p+p and p+A world data rather than measured at 54.4 GeV, a bias in the interpolation would shift the 54.4 GeV R_AA point independently from the measured 200 GeV and SPS references, directly affecting the headline claim of no energy dependence. The quoted uncertainty reflects scatter among parameterizations, not an independent check at this energy. Please document the interpolation procedure, including whether p+A data are corrected for cold nuclear matter effects, and add a cross-validation at energies with measured references, plus a sensitivity test that excludes p+A data from the fit.
  2. [Fig. 5, Section 3] The energy-dependence comparison in Fig. 5 uses different pT thresholds for different energies (pT > 0.2 GeV/c for the 54.4 GeV point versus pT > 0.15 GeV/c or pT > 0 for other points). Since Fig. 6 shows a visible pT dependence of R_AA, these acceptance differences can bias the apparent energy dependence. The paper should either quote all points with a common pT cut or provide an estimate of the correction and its uncertainty.
  3. [Section 3, Fig. 3] The text states that the significance of the R_AA difference between 54.4 and 62.4 GeV varies between 1.6σ and 2.5σ depending on centrality, while the abstract claims 'no significant collision energy dependence.' A 2.5σ local deviation is not conclusive, but it is more than a null result. The claim should be supported by a global flatness test, for example a χ2/ndf computed with the correlated systematic uncertainties, and the abstract should be worded to acknowledge the mild tension.
minor comments (4)
  1. [Section 3] There is no table of the numerical R_AA and R_CP values; figures alone make it difficult for the reader to reuse the data. A table of the centrality- and pT-differential R_AA/R_CP with statistical and systematic uncertainties would strengthen the paper.
  2. [Fig. 3 and Fig. 5 captions] The legends in Fig. 3 and Fig. 5 are garbled in the manuscript text, with fragments such as 'p<0.5 y, -μ+μ→ψ > 0.15 GeV/c, J/T' and 'T200, 5020 GeV: p'; please clean up the figure captions and ensure all notation is readable.
  3. [Section 3, Eq. (3)] The sentence 'Data points are placed at pT values whose yields are equal to the average yields of the bins' is vague; please state that the iterative fit of Eq. (3) is used to compute the Lafferty-Wyatt plotting positions.
  4. [Abstract] The abstract claims 'improved precision compared to previous measurements at 39 and 62.4 GeV,' but the body does not give a quantitative comparison of total uncertainties; please add the relevant numbers.

Circularity Check

0 steps flagged · score 2.0 of 10

No significant circularity: the only self-cited input (p+p reference [59]) is an external world-data interpolation, not a fit to the Au+Au yields, so the flatness claim is not forced by construction.

full rationale

The paper's central result—R_AA of inclusive J/ψ in Au+Au at 54.4 GeV and its energy dependence—is built from Eq. (4), which normalizes the measured Au+Au invariant yield by ⟨N_coll⟩/σ_pp^inelastic and the p+p differential cross section d²σ_pp/dpTdy. Because no p+p measurement exists at 54.4 GeV, the p+p reference is taken from Ref. [59], a global parameterization of p+p and p+A world data over 6.8–7000 GeV, giving 14.39 ± 1.57 nb. This is an externally anchored input, not a quantity fitted to the Au+Au data presented here; no equation or procedure in the paper defines the p+p baseline in terms of R_AA, nor R_AA in terms of the baseline beyond the standard definition of the nuclear modification factor. The flatness conclusion is therefore not a tautology: it compares the new 54.4 GeV point against independently measured points at 200 GeV (measured p+p baseline) and 17.3 GeV (SPS), and the paper reports a 1.6–2.5σ deviation from 62.4 GeV, which would be a non-trivial outcome even with a shared reference. Although Ref. [59] has author overlap with the STAR collaboration, it is a data compilation and parameterization of external world data, and the paper also reports R_CP, which is explicitly baseline-free ('it does not use the J/ψ yield from p+p collisions as the reference'), as a cross-check. The possible model dependence of the interpolated p+p cross section (e.g., inclusion of p+A data, scatter among parameterizations) is a legitimate systematic and correctness concern, but it is not circularity: the baseline is not obtained from the target Au+Au result. No self-definitional reduction, fitted-input-as-prediction, or imported uniqueness claim appears. Score 2 reflects only the presence of a minor self-citation ([59]) that is not itself circular.

Assumptions & free parameters 1 free parameters · 4 assumptions · 0 invented entities

The central claim depends mainly on the interpolated p+p baseline and on standard heavy-ion analysis assumptions (Glauber centrality, detector simulation, electron ID model). No new entities are introduced.

free parameters (1)
  • p+p inclusive J/psi cross section at 54.4 GeV (interpolated baseline) = 14.39 nb (from global parameterization, Ref [59])
    R_AA in Eq. (4) is inversely proportional to this baseline. No direct p+p measurement exists at this energy, so the value comes from a fit to p+p and p+A world data between 6.8 and 7000 GeV.
assumptions (4)
  • domain assumption Glauber Monte Carlo provides the centrality classes and average number of binary collisions
    Used for centrality binning and to define R_AA and R_CP. Standard in heavy-ion physics, but model dependent.
  • domain assumption Bichsel formalism correctly predicts electron energy loss in the TPC
    Used in Eq. (1) to define n_sigma_e for electron identification.
  • domain assumption GEANT3 embedding reproduces detector response for tracking and calorimeter efficiencies
    Efficiency corrections are derived from embedding simulated tracks into minimum-bias events.
  • domain assumption The p+p J/psi cross section at 54.4 GeV can be interpolated from a global parameterization
    The R_AA normalization depends on this interpolation; uncertainties are propagated but the interpolation itself is not independently verified at this energy.

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Cite this review

Pith. "Pith review of Measurement of inclusive $J/\psi$ production in Au+Au collisions at $\sqrt{s_\mathrm{NN}} = 54.4$ GeV at STAR." pith.science (2026). https://pith.science/paper/F5ADR7LR

@misc{pith2026250620962,
  author       = {Pith},
  title        = {Pith review of: Measurement of inclusive $J/\psi$ production in Au+Au collisions at $\sqrts_\mathrmNN = 54.4$ GeV at STAR},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/F5ADR7LR}},
  note         = {Machine review of arXiv:2506.20962}
}
abstract

This article presents measurements of inclusive $J/\psi$ production at midrapidity ($\left|y\right| <$ 1.0) in Au+Au collisions at $\sqrt{s_\mathrm{NN}} = 54.4$ GeV with the STAR detector at the Relativistic Heavy Ion Collider. A suppression of the $J/\psi$ yield, quantified using the nuclear modification factors ($R_{\mathrm{AA}}$, $R_{\mathrm{CP}}$), is observed with respect to the scaled production in $p$+$p$ collisions. The dependence of $R_{\mathrm{AA}}$ on collision centrality and $J/\psi$ transverse momentum is measured with improved precision compared to previous measurements at 39 and 62.4 GeV, while the centrality dependence of $R_{\mathrm{CP}}$ is measured and compared to the same results at 39, 62.4, and 200 GeV. In central collisions, no significant collision energy dependence of $R_{\mathrm{AA}}$ is found within uncertainties for collision energies between 17.3 and 200 GeV. Two transport model calculations that include dissociation and regeneration contributions are consistent with the experimental results within uncertainties. Although no significant collision energy dependence of the $J/\psi$ suppression in high energy heavy-ion collisions up to $\sqrt{s_\mathrm{NN}} = 200$ GeV is observed within uncertainties, the newly measured results at 54.4 GeV Au+Au collisions provide additional constraints on theoretical calculations of the hot medium evolution and cold nuclear matter effects.

Figures

Figures reproduced from arXiv: 2506.20962 by the authors.

Figure 1
Figure 1. (top) Invariant mass distributions for unlike-sign pairs from same events and [PITH_FULL_IMAGE:figures/full_fig_p014_1.png] view at source ↗
Figure 2
Figure 2. Inclusive J/ψ invariant yields as a function of pT at mid-rapidity (|y| < 1) in Au+Au collisions at √ sNN = 54.4 GeV in different centralities. The vertical error bars represent the statistical uncertainties, while boxes represent the systematic uncertainties. The horizontal bars depict the pT binning. Data points for 0-60% centrality are scaled up by a factor of ten for clarity. 19 [PITH_FULL_IMAGE:figures/full_fi… view at source ↗
Figure 3
Figure 3. The RAA of inclusive J/ψ at mid-rapidity as a function of ⟨Npart⟩ in heavy-ion collisions at collision energies from 39 GeV to 5.02 TeV [26, 30, 31]. Theoretical calculations are shown as dashed lines for comparison [36]. The error bars represent the statistical uncertainties, while the boxes represent the systematic uncertainties. The shaded bands on the STAR data points indicate the uncertainties in ⟨Ncoll⟩, while… view at source ↗
Figures from the paper (4 more)
Figure 4
Figure 4. Figure 4: The RCP of inclusive J/ψ at mid-rapidity as a function of ⟨Npart⟩ in Au+Au collisions at collision energies from 39 GeV to 200 GeV [30]. The error bars represent the statistical uncertainties, while the boxes represent the systematic uncertainties. The shaded bands at …
Figure 5
Figure 5. Figure 5: The RAA of J/ψ as a function of collision energy in central collisions [23– 26, 30, 31], in comparison with two transport model calculations from the Tsinghua group [60] (left) and the TAMU group [36] (right). The error bars represent the statistical uncertainties and …
Figure 6
Figure 6. Figure 6: J/ψ RAA as a function of pT in the 0-60% centrality class at different collision energies (left) [30, 31] and for different centrality classes at 54.4 GeV (right). Theoretical calculations are shown as dashed lines for comparison [36]. The error bars represent the stat…
Figure 7
Figure 7. Figure 7: The inclusive J/ψ rAA as a function of ⟨Npart⟩ in different collision systems [27, 32, 61–64] at mid-rapidity. The error bars represent the statistical uncertainties and the boxes represent the systematic uncertainties. The bands at unity show the global uncertainty. 2…

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