{"id":"e2e8e513-24c6-4841-bc14-8cd031764478","arxiv_id":"2603.27267","paper_version":2,"verdict":"CONDITIONAL","confidence":"HIGH","novelty_score":5.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":6,"one_line_summary":"Global rotation shifts the HRG chemical freeze-out curve to lower T and makes particle yield ratios more sensitive probes of vorticity than conserved-charge cumulant ratios.","lead":"Rotation in the fireball of a heavy-ion collision systematically lowers the chemical freeze-out temperature in the T–μ_B plane. The work also shows that hadron yield ratios respond more strongly to vorticity than standard cumulant ratios, offering a practical handle for estimating rotation in experiments.","discovery_kind":"extension","skeptic_critique":{"model":"grok-4.5","headline":"Fixed freeze-out targets under rotation remain the load-bearing modeling choice; the paper never re-derives or re-fits ε/n or s/T^{3} at finite ω.","rationale":"The Reader correctly isolates the single most load-bearing modeling premise: the numerical freeze-out criteria are left unchanged while only the densities that enter them are recomputed under rotation. That premise is never justified beyond the phrase “extended here to include rotational effects.” All subsequent quantitative results (the size of ΔT, the μ_Q/μ_S maps, and the claim that yield ratios are superior probes) inherit this assumption. Resonance-decay feed-down is a secondary, acknowledged limitation; it does not undercut the central logic as directly as the fixed-target choice. Because the paper is otherwise internally consistent and the qualitative direction of the T-shift is expected once the spectrum is modified, the appropriate verdict remains CONDITIONAL rather than REJECT. The concrete test proposed above would decide whether the assumption is harmless or whether the reported shifts and the yield-ratio recommendation must be re-calibrated before experimental use.","tokens_in":16047,"tokens_out":723,"duration_ms":8336,"concrete_test":"Recompute the freeze-out loci of Fig. 1 after replacing the fixed targets by ω-dependent ones obtained from a microscopic criterion (e.g., the temperature at which the inelastic mean free path equals the system size, or the location of the rapid rise in s or the dip in c_s^{2}, both already used in Ref. [14] for rotating media). If the new T(μ_B,ω) curves shift by ≳ 10 MeV relative to the fixed-target curves, or if the ordering of Ω^{-}/π^{+} versus χ_{2}/χ_{1} sensitivity reverses, the headline claim weakens.","verdict_should_be":"CONDITIONAL","load_bearing_attack":"The central claim (downward shift of the freeze-out curve and the recommendation of yield ratios) rests on treating the numerical targets ε/n = 1.08 GeV and s/T^{3} = 7 as universal constants that are merely re-evaluated with the rotating densities of Eqs. (4)–(6). Section III and Fig. 1 simply impose those same numbers at ω = 0.005–0.015 GeV. Because rotation already modifies the single-particle spectrum ε_ℓ = E − (ℓ + s)ω and therefore the entire thermodynamic surface, there is no a-priori reason that the empirical thresholds extracted at ω = 0 remain the correct chemical-freeze-out markers once ω is finite. If the true freeze-out condition itself drifts with ω (as the magnetic-field literature already suggests for analogous external fields), both the magnitude of the reported T-shift and the relative sensitivity ranking of yield ratios versus χ_{2}/χ_{1} become model-dependent rather than robust predictions.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.5","summary":"The manuscript studies chemical freeze-out in a globally rotating hadron resonance gas. Using the standard rotating-HRG pressure (Eq. 3) with a causality cutoff Rω ≤ 1 and quantized radial momenta, the authors recompute energy density, number density, and entropy density and impose the conventional freeze-out criteria ε/n = 1.08 GeV and s/T³ = 7. They report a systematic downward shift of the freeze-out curve in the T–μ_B plane, map the rotational dependence of μ_Q and μ_S under charge and strangeness constraints, and compare the sensitivity of primary hadron yield ratios (notably Ω⁻/π⁺) to that of low-order conserved-charge cumulant ratios χ₂/χ₁. The main phenomenological claim is that yield ratios are more sensitive to ω and therefore better suited for estimating vorticity in heavy-ion collisions.","tokens_in":16377,"tokens_out":1411,"duration_ms":20564,"significance":"If the modeling premises hold, the work supplies a concrete, experimentally oriented extension of rotating HRG thermodynamics to chemical freeze-out, including the first systematic HRG study of μ_Q(ω) and μ_S(ω) and a direct ranking of yield ratios versus cumulant ratios as vorticity probes. The formalism follows established rotating-HRG formulas, the conservation constraints are solved consistently, and the LO coefficients q₁, s₁ are cross-checked against the direct n_Q/n_B and n_S = 0 conditions. These elements make the paper a useful reference for interpreting freeze-out extractions and hyperon-related observables in peripheral collisions, provided the fixed numerical freeze-out targets and the neglect of resonance feed-down are adequately controlled.","major_comments":[{"comment":"Sec. III and Fig. 1: The central T-shift result is obtained by imposing the same numerical targets ε/n = 1.08 GeV and s/T³ = 7 that were calibrated at ω = 0. Rotation already modifies the single-particle spectrum ε_ℓ = E − (ℓ + s)ω and the entire thermodynamic surface (Eqs. 4–6), so there is no a-priori reason that those empirical thresholds remain the correct chemical-freeze-out markers at finite ω. The manuscript should either (i) justify why the targets are universal under rotation (e.g., by reference to an underlying dynamical freeze-out condition), or (ii) quantify how the reported ΔT and the yield-vs-cumulant ranking change if the targets themselves drift with ω. Without that discussion the magnitude of the shift and the phenomenological recommendation remain model-dependent.","section":"Sec. III, Fig. 1"},{"comment":"Sec. III (discussion of Figs. 6–8) and Conclusion: The claim that hadronic yield ratios are a more suitable vorticity probe than χ₂/χ₁ rests on primary densities only. The authors note that resonance-decay feed-down is neglected for computational cost, yet feed-down is known to reshape both absolute yields and ratios (especially for protons, Λ, and multi-strange baryons). Because the ranking of observables is a main conclusion of the paper, at least a representative estimate of feed-down for the key ratios (Ω⁻/π⁺, p/π⁺, Λ/π⁺) at a few (T, μ_B, ω) points is needed, or a clear demonstration that the relative sensitivity ordering is stable under feed-down.","section":"Sec. III, Figs. 6–8"},{"comment":"Sec. II: The system radius is fixed at R = 30 GeV⁻¹ (≈ 6 fm) for all ω, with the causality bound Rω ≤ 1. The discretization k_r = ξ_{ℓ,i}/R and the lower integration limit ξ_{ℓ,i}ω make thermodynamic densities explicitly R-dependent. A short sensitivity scan in R (or an argument that freeze-out loci and normalized ratios are stable under reasonable R variations at fixed Rω) is required to establish that the reported shifts and observable rankings are not artifacts of this particular infrared cutoff.","section":"Sec. II"}],"minor_comments":[{"comment":"Conclusion, first bullet: typographical error “roation” → “rotation”.","section":"Sec. IV"},{"comment":"Fig. 1 caption and text: clarify that the Cleymans et al. comparison is for the non-rotating case only, and state explicitly which particle list / mass cutoff was used in that reference versus the PDG list up to 2.6 GeV adopted here.","section":"Fig. 1"},{"comment":"Eq. (3) and surrounding text: define the range of the spin sum and the meaning of S_i more carefully for bosons versus fermions; a brief note on how anti-particles are treated under rotation would help reproducibility.","section":"Sec. II, Eq. (3)"},{"comment":"Fig. 3: the color scale for μ_Q and μ_S is hard to read in grayscale; consider contour labels or separate line plots at fixed μ_B slices.","section":"Fig. 3"},{"comment":"Introduction / Sec. III: when citing the magnetic-field freeze-out study (Ref. [33]), note more explicitly the analogy and the differences (spin–rotation vs. charge–magnetic coupling) so that the parallel is not overstated.","section":"Introduction"},{"comment":"Throughout: ω is given in GeV; a parenthetical conversion to s⁻¹ (or to the STAR polarization scale) at first use would help experimental readers assess realism of the 5–15 MeV scan.","section":"Sec. III"}],"recommendation":"major_revision","confidential_remarks":"The paper is a solid incremental contribution in the rotating-HRG line already pursued by several of the co-authors. The main risk is overselling the yield-ratio recommendation while the two load-bearing modeling choices (fixed Cleymans targets at finite ω; no feed-down) remain under-discussed. If the authors address those three major points with even a limited sensitivity study, the manuscript should be publishable; I would not reject on novelty or scope grounds for a standard hep-ph journal."},"author_rebuttal":null,"desk_editor":{"model":"grok-4.5","letter":"This is a clean, usable extension of the rotating HRG program. What is actually new is the first systematic application of the standard freeze-out criteria (ε/n = 1.08 GeV and s/T³ = 7) at finite ω, the first HRG map of how μ_Q and μ_S themselves move with rotation under the usual n_Q/n_B and n_S = 0 constraints, and the direct side-by-side comparison of particle yield ratios versus χ₂/χ₁. The downward T-shift and the stronger sensitivity of Ω⁻/π⁺ (and other high-spin/heavy ratios) follow directly from the modified single-particle spectrum and the standard pressure formula with the Rω ≤ 1 cutoff. The math is standard and consistent; the LO q₁, s₁ cross-check against the direct constraints is a nice control.\n\nThe stress-test concern about fixed numerical targets is real but overstated as a load-bearing flaw. The authors are explicit that they are extending the commonly used empirical criteria, not re-deriving a new freeze-out condition from first principles. That is the same modeling choice the magnetic-field papers made; it is a limitation of the approach, not an internal contradiction. Resonance-decay feed-down is omitted for computational cost and is flagged; that will matter for quantitative experimental use but does not reverse the qualitative ranking of yield ratios over low-order cumulants.\n\nCitation pattern is appropriate (Cleymans, the magnetic analogues, their own prior rotating-HRG thermodynamics). No circularity: the targets are external literature numbers, not fitted to the new curves.\n\nThis is for people who extract freeze-out parameters or try to quantify vorticity from yields/fluctuations in peripheral collisions, especially at higher μ_B. It deserves a serious referee. I would engage with it, cite the yield-ratio recommendation when discussing vorticity observables, and ask the authors to stress-test the fixed-target assumption or at least quantify how much the T-shift moves if the targets themselves are allowed to drift. Send it to peer review.","headline":"Solid rotating-HRG extension that maps freeze-out shifts and shows yield ratios beat low-order cumulants for vorticity; the fixed ε/n and s/T³ targets are the main modeling choice, not a hidden flaw.","tokens_in":16991,"tokens_out":544,"would_cite":true,"duration_ms":6533,"reading_group":"yes","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.5","headline":"Global rotation lowers chemical freeze-out temperatures and makes hadron yield ratios, especially Ω−/π+, far more sensitive probes of vorticity than conventional cumulant ratios.","keywords":["chemical freeze-out","hadron resonance gas","vorticity","rotation","particle yield ratios","conserved-charge susceptibilities","heavy-ion collisions"],"falsifier":"Extract chemical freeze-out temperatures and selected yield ratios (Ω/π, Δ/π, p/π) from the same peripheral heavy-ion data sets with and without a finite-ω rotating-HRG fit; if the extracted T_ch does not drop and the high-spin ratios do not rise systematically with estimated vorticity, the central claim fails.","tokens_in":16926,"feed_emoji":"↻","tokens_out":801,"duration_ms":6379,"temperature":0.7,"pith_summary":"In ultra-relativistic heavy-ion collisions the produced medium can rotate at enormous rates. This paper asks how that global rotation changes the chemical freeze-out surface on which the final hadron yields are fixed. Working inside the hadron resonance gas model, the authors recompute the standard freeze-out criteria (average energy per particle and scaled entropy density) with rotation included in the single-particle energies. They find a systematic downward shift of the freeze-out curve in the temperature–baryon-chemical-potential plane, together with clear rotational modifications of the electric-charge and strangeness chemical potentials. Most importantly for experiment, particle yield ratios respond strongly to rotation while the usual low-order cumulant ratios of conserved charges stay comparatively flat. The practical claim is therefore that measured hadronic yield ratios, particularly those involving high-spin multi-strange baryons, offer a cleaner experimental handle on the magnitude of vorticity than fluctuation observables.","feed_headline":"Rotation cools freeze-out; yield ratios sense vorticity best","feed_subtitle":"Hadron yields, especially Ω/π, shift far more than cumulant ratios when the fireball spins.","key_machinery":"The rotating hadron resonance gas: single-particle energies are replaced by ε = √(k_r^{2} + k_z^{2} + m^{2}) − (l + s)ω with a causal boundary that quantizes radial momenta, so that all thermodynamic densities, chemical potentials, yields and susceptibilities become explicit functions of angular velocity ω.","core_discovery":"When the conventional freeze-out conditions ε/n ≈ 1.08 GeV or s/T³ ≈ 7 are evaluated inside a rotating hadron resonance gas, the chemical freeze-out curve shifts systematically toward lower temperatures in the T–μ_B plane; simultaneously, particle yield ratios (especially Ω−/π+) display a far stronger dependence on angular velocity than the conventional cumulant ratios χ_{2}/χ_{1}.","pith_inferences":[],"forward_implications":[],"fun_headline_variants":["Rotation shifts freeze-out curve to lower T in T-μB plane","Spinning fireballs cool freeze-out; yields sense vorticity more","Vorticity lowers freeze-out temperature; Ω/π reacts strongest","Rotating HRG moves chemical freeze-out cooler than static case","Yield ratios track rotation far better than cumulant ratios"],"cache_read_input_tokens":128,"weakest_assumption_plain":"The numerical targets of the freeze-out criteria themselves (energy per particle ≈ 1.08 GeV and s/T³ ≈ 7) stay exactly the same once rotation is switched on; only the densities that enter them are recomputed.","fun_headline_variants_meta":{"raw":{"variants":["Rotation shifts freeze-out curve to lower T in T-μB plane","Spinning fireballs cool freeze-out; yields sense vorticity more","Vorticity lowers freeze-out temperature; Ω/π reacts strongest","Rotating HRG moves chemical freeze-out cooler than static case","Yield ratios track rotation far better than cumulant ratios"]},"model":"grok-4.5","effort":"low","cost_usd":0.005016,"raw_usage":{"total_tokens":1378,"prompt_tokens":765,"num_sources_used":0,"completion_tokens":75,"cost_in_usd_ticks":50160000,"prompt_tokens_details":{"text_tokens":765,"audio_tokens":0,"image_tokens":0,"cached_tokens":128},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":538,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":765,"tokens_out":75,"duration_ms":4917,"temperature":1.0,"reasoning_tokens":538,"cache_read_input_tokens":128,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-13T17:01:53.992612+00:00","model_set":{"reader":"grok-4.5"},"falsifier":"Extract chemical freeze-out temperatures and selected yield ratios (Ω/π, Δ/π, p/π) from the same peripheral heavy-ion data sets with and without a finite-ω rotating-HRG fit; if the extracted T_ch does not drop and the high-spin ratios do not rise systematically with estimated vorticity, the central claim fails.","supporting_citations":[],"review_version":1}