arxiv: 2604.05512 · v1 · submitted 2026-04-07 · ✦ hep-ex

Recognition: 2 theorem links

· Lean Theorem

Measurement of charged-particle production in sqrt{s_NN}=9.62 TeV proton-oxygen collisions as a probe of cosmic-ray air showers with the ATLAS detector

ATLAS Collaboration

Authors on Pith no claims yet

Pith reviewed 2026-05-10 19:15 UTC · model grok-4.3

classification ✦ hep-ex

keywords proton-oxygen collisionscharged-particle productioncosmic-ray air showersinelastic cross sectionhadronic modelsATLAS experimentastroparticle physics

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The pith

ATLAS measures charged-particle production in 9.62 TeV proton-oxygen collisions to extract a proton-air inelastic cross section of 406 mb for cosmic-ray air shower modeling.

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

The paper reports measurements of prompt charged-particle production in proton-oxygen collisions at 9.62 TeV with the ATLAS detector. It determines a fiducial cross section of 396 mb for these interactions and extrapolates to an inelastic proton-air cross section of 406 mb. The multiplicity, pT, and eta distributions are an order of magnitude more precise than the spread in hadronic models. These results improve the modeling of cosmic-ray air showers, which matters for astroparticle physics because they affect how we interpret high-energy cosmic ray observations.

Core claim

This Letter presents a measurement of prompt charged-particle production in proton-oxygen interactions at 9.62 TeV with the ATLAS detector. The measured fiducial proton-oxygen cross section is 396 ± 6 (exp.) ± 9 (lumi.) mb and the extrapolated inelastic proton-air cross section is 406 ± 6 (exp.) ± 9 (lumi.) ± 28 (th.) mb. Measurements of charged-particle multiplicity, pT, and η distributions are an order-of-magnitude more precise than differences between hadronic-interaction models. These results enable improved modeling of cosmic-ray air showers.

What carries the argument

The fiducial event selection of tracks with p_T > 500 MeV and |η| < 2.5, which defines the measured proton-oxygen cross section and anchors the extrapolation to the proton-air inelastic cross section.

Load-bearing premise

The extrapolation from the measured proton-oxygen fiducial cross section to the proton-air inelastic cross section assumes Glauber nuclear geometry and hadronic models accurately describe the difference between oxygen and air nuclei.

What would settle it

A future direct measurement of the proton-air inelastic cross section near 10 TeV that falls outside the quoted 406 ± 30 mb range would invalidate the extrapolation.

read the original abstract

This Letter presents a measurement of prompt charged-particle production in proton-oxygen interactions at $\sqrt{s_\text{NN}}=9.62$ TeV center-of-mass energy with the ATLAS detector, corresponding to 634 $\mu$b$^{-1}$ of integrated luminosity. A total of 246 million selected events have at least one track with transverse momentum $p_\text{T}> 500$ MeV and pseudorapidity $|\eta|<2.5$. The measured fiducial proton-oxygen cross section is $\sigma_\text{fid.}^{p\text{O}}=396 \pm 6~(\text{exp.}) \pm 9~(\text{lumi.})~\text{mb}$ and the extrapolated inelastic proton-air cross section is $\sigma^{p+\text{air}}_\text{inel.} = 406 \pm 6~(\text{exp.}) \pm 9~(\text{lumi.}) \pm 28~(\text{th.})~\text{mb}$. Measurements of charged-particle multiplicity, $p_\text{T}$, and $\eta$ distributions are an order-of-magnitude more precise than differences between hadronic-interaction models. These results enable improved modeling of cosmic-ray air showers, which is important for astroparticle physics.

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

ATLAS has produced the first high-precision p-O charged-particle data at 9.62 TeV, with a clean fiducial cross section but a model-dependent extrapolation to p-air.

read the letter

The main takeaway is that this ATLAS measurement gives the first precise look at prompt charged-particle production in proton-oxygen collisions at 9.62 TeV. They report a fiducial p-O cross section of 396 mb with 6 mb experimental and 9 mb luminosity uncertainty, plus multiplicity, pT, and eta distributions that sit an order of magnitude tighter than the differences among current hadronic models. The 246 million events and 634 microbarn inverse luminosity look adequate for the stated precision, and the paper frames the result explicitly as input for cosmic-ray air-shower simulations. That is the useful part: direct experimental numbers that model builders can actually use to test or tune generators at this energy. The fiducial p-O result itself carries no extra model dependence beyond standard detector corrections and unfolding. The soft spot is the extrapolated inelastic p-air cross section of 406 mb. That number rests on Glauber nuclear geometry plus hadronic generators to translate from oxygen to air nuclei, and the 28 mb theoretical uncertainty is the dominant term. Any systematic bias in those external inputs would move the central value outside the quoted total error. The paper is therefore most relevant to the cosmic-ray and astroparticle community rather than to general collider physics. A reader working on air-shower codes or hadronic modeling would find the distributions and the fiducial cross section worth using. It is a standard high-quality ATLAS result with a clear experimental core, so it deserves a serious referee rather than a desk reject.

Referee Report

1 major / 2 minor

Summary. This Letter reports a measurement of prompt charged-particle production in proton-oxygen collisions at √s_NN = 9.62 TeV with the ATLAS detector, based on 634 μb^{-1} of integrated luminosity and 246 million selected events containing at least one track with p_T > 500 MeV and |η| < 2.5. The fiducial proton-oxygen cross section is measured as σ_fid^{pO} = 396 ± 6 (exp.) ± 9 (lumi.) mb. An extrapolation using Glauber nuclear geometry and hadronic models yields the inelastic proton-air cross section σ^{p+air}_inel = 406 ± 6 (exp.) ± 9 (lumi.) ± 28 (th.) mb. The paper also presents charged-particle multiplicity, p_T, and η distributions that are stated to be an order of magnitude more precise than differences among current hadronic-interaction models, with the goal of improving cosmic-ray air-shower simulations.

Significance. If the results hold, the work supplies a direct experimental constraint on hadronic interactions at an energy scale directly relevant to cosmic-ray air showers, with explicit separation of experimental, luminosity, and theoretical uncertainties. The high precision on the multiplicity, p_T, and η distributions relative to model variations constitutes a concrete, falsifiable input that can be used to tune or validate generators. The manuscript ships a parameter-free fiducial measurement together with a transparently model-dependent extrapolation whose theoretical uncertainty is quoted separately; these features strengthen the utility for astroparticle-physics applications.

major comments (1)

The extrapolation from the measured p-O fiducial cross section to the p-air inelastic cross section (headline result σ^{p+air}_inel = 406 ± 28 (th.) mb) relies on Glauber-based nuclear thickness functions and a specific set of hadronic generators to account for the oxygen-to-air difference. While the ±28 mb theoretical uncertainty is intended to cover model variations, the manuscript must explicitly document the exact set of generators, the range of Glauber parameters (e.g., nuclear density profiles, inelastic nucleon-nucleon cross sections), and the procedure used to propagate these variations into the quoted uncertainty; without this, the central extrapolated value remains insufficiently reproducible and the uncertainty may not fully capture possible biases at 9.62 TeV.

minor comments (2)

The abstract states that the distributions are “an order-of-magnitude more precise than differences between hadronic-interaction models,” but the main text should quantify this statement with explicit numerical comparisons (e.g., RMS model spread versus experimental uncertainty in each bin of multiplicity or p_T) so that readers can verify the claim without external references.
Section describing the event selection and track reconstruction should include a brief statement on the treatment of pile-up and the efficiency correction for the p_T > 500 MeV threshold, even if these are standard ATLAS procedures, to allow independent assessment of the fiducial definition.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive evaluation of the work's significance for cosmic-ray physics and for the constructive comment on the extrapolation procedure. We address the major comment below.

read point-by-point responses

Referee: The extrapolation from the measured p-O fiducial cross section to the p-air inelastic cross section (headline result σ^{p+air}_inel = 406 ± 28 (th.) mb) relies on Glauber-based nuclear thickness functions and a specific set of hadronic generators to account for the oxygen-to-air difference. While the ±28 mb theoretical uncertainty is intended to cover model variations, the manuscript must explicitly document the exact set of generators, the range of Glauber parameters (e.g., nuclear density profiles, inelastic nucleon-nucleon cross sections), and the procedure used to propagate these variations into the quoted uncertainty; without this, the central extrapolated value remains insufficiently reproducible and the uncertainty may not fully capture possible biases at 9.62 TeV.

Authors: We agree that additional explicit documentation is required to ensure full reproducibility of the extrapolated result. The current manuscript describes the overall approach using Glauber nuclear geometry combined with hadronic models but does not enumerate the precise generators, parameter ranges, or propagation steps in sufficient detail. In the revised manuscript we will add a dedicated subsection (or appendix) that: (1) lists the complete set of hadronic generators employed (EPOS-LHC, QGSJET-II-04, SIBYLL 2.3d and any others); (2) specifies the Glauber parameters varied, including the Woods-Saxon nuclear density profiles for oxygen and the air nuclei (with explicit radius and diffuseness values), the inelastic nucleon-nucleon cross section at √s_NN = 9.62 TeV, and any other inputs; and (3) details the uncertainty propagation procedure, which evaluates the envelope of results obtained by varying these inputs within their accepted ranges to arrive at the quoted ±28 mb theoretical uncertainty. This addition will make both the central value and the uncertainty fully reproducible while allowing readers to assess potential biases at this energy. We do not expect any numerical changes to the reported cross sections. revision: yes

Circularity Check

0 steps flagged

No circularity: direct experimental measurements with external-model extrapolation

full rationale

The paper reports a direct measurement of the fiducial proton-oxygen cross section and charged-particle distributions from ATLAS collision data. The extrapolation to the inelastic proton-air cross section applies Glauber nuclear geometry and external hadronic-interaction models whose parameters and predictions are independent of the present dataset. No step reduces a claimed result to a fitted parameter or self-citation by construction; the central numbers are normalized event counts with reported experimental and luminosity uncertainties, while the theoretical uncertainty is explicitly separated as model variation. This is a standard experimental analysis whose derivation chain is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The measurement itself introduces no new free parameters. The extrapolation to p-air relies on standard Glauber nuclear geometry and existing hadronic models whose parameters are external to this work.

axioms (1)

domain assumption Glauber model for nuclear geometry and inelasticity differences between oxygen and air nuclei
Invoked to extrapolate the measured p-O cross section to p-air; contributes the quoted theoretical uncertainty.

pith-pipeline@v0.9.0 · 5545 in / 1299 out tokens · 42278 ms · 2026-05-10T19:15:52.816710+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

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

IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear

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unclear
Relation between the paper passage and the cited Recognition theorem.

The measured fiducial proton-oxygen cross section is σ_fid.^pO = 396 ± 6 (exp.) ± 9 (lumi.) mb and the extrapolated inelastic proton-air cross section is σ^p+air_inel. = 406 ± 6 (exp.) ± 9 (lumi.) ± 28 (th.) mb.
IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

Measurements of charged-particle multiplicity, pT, and η distributions are an order-of-magnitude more precise than differences between hadronic-interaction models.

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

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