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arxiv: 1907.06868 · v1 · pith:3BAKQF7Gnew · submitted 2019-07-16 · ✦ hep-ph

Testing production scenarios for (anti-)(hyper-)nuclei with multiplicity-dependent measurements at the LHC

Francesca Bellini , Alexander P. Kalweit This is my paper

Pith reviewed 2026-05-24 21:08 UTC · model grok-4.3

classification ✦ hep-ph
keywords coalescencehyper-nucleithermal modelmultiplicity dependenceLHCALICEproduction mechanismsanti-nuclei
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The pith

Measurements of the coalescence parameter B_A for hyper-nuclei across collision systems and multiplicities can distinguish coalescence from thermal-statistical production models.

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

The paper proposes systematic measurements of light anti- and hyper-nuclei in pp, pA and AA collisions at varying multiplicities to test their production mechanisms. The coalescence parameter B_A is predicted to show large differences between the coalescence and thermal-statistical models when the size of the particle-emitting source changes, especially for hyper-nuclei with extended wave functions such as the hyper-triton. Existing ALICE data are compared to the model predictions, and the approach is presented as a way to exploit the comparable size of nuclei and the collision system. Future measurements with upgraded detectors are discussed as a means to sharpen the test.

Core claim

Large differences between coalescence and thermal-statistical model predictions are expected for hyper-nuclei with extended wave-functions such as the hyper-triton when the effective size of the particle-emitting source is varied through the choice of collision system (pp, pA, AA) and the multiplicity of produced particles; the coalescence parameter B_A serves as the observable that encodes these differences.

What carries the argument

The coalescence parameter B_A measured as a function of the effective size of the particle-emitting source, which is controlled by collision system and multiplicity.

If this is right

  • Coalescence and thermal models yield similar results for ordinary light nuclei but diverge for hyper-nuclei with large spatial extent.
  • Systematic variation of source size via multiplicity allows the two scenarios to be tested separately from single-system heavy-ion data.
  • ALICE measurements in different collision systems already provide initial constraints on the models.
  • Upgraded detectors in the High-Luminosity LHC phase will extend the reach to rarer hyper-nuclei species.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The method could be applied to other loosely bound states whose wave-function size exceeds typical hadron sizes.
  • If the distinction holds, it would constrain the time scale between chemical and kinetic freeze-out in the collision evolution.
  • Multiplicity-dependent ratios of hyper-nuclei to nuclei could serve as an additional cross-check independent of absolute yields.

Load-bearing premise

The effective size of the particle-emitting source can be systematically varied and controlled by collision system and multiplicity in a way that produces distinguishable predictions between the coalescence and thermal-statistical models for hyper-nuclei.

What would settle it

If measured B_A values for the hyper-triton remain similar across a wide range of multiplicities in pp, pA and AA collisions and match both models equally well, the proposed distinction would not hold.

Figures

Figures reproduced from arXiv: 1907.06868 by Alexander P. Kalweit, Francesca Bellini.

Figure 1
Figure 1. Figure 1: (Color online) Coalescence parameter BA as a function of the source radius R as pre￾dicted from the coalescence model (Eq. 2) for various composite objects with pT/A = 0.75 GeV/c. For each (hyper-)nucleus, the radius r used for the calculation is reported in the legend. rA. This difference is more relevant in small systems, because in large systems the difference between nucleus radii is much smaller than … view at source ↗
Figure 2
Figure 2. Figure 2: (Color online) Coalescence parameter BA as a function of the average charged par￾ticle multiplicity density for various (hyper-)nuclei, up to A = 4. The coalescence calculations (continuous or dashed-dotted black lines) are compared to the thermal+blast-wave predictions (dashed blue line), as well as to pp (green square) and Pb–Pb (red circles) collision data from ALICE [7–9]. 6 [PITH_FULL_IMAGE:figures/f… view at source ↗
Figure 3
Figure 3. Figure 3: (Color online) Coalescence parameter B3 for 3He as a function of the average charged particle multiplicity density hdNch/dηlabi. The coalescence calculation (continuous black line) is compared to two thermal+blast-wave predictions (dashed lines), obtained by using the Grand Canonical (GC, red) [6] and Canonical Statistical Model (CSM, blue) [34] expectations for the 3He yield, respectively. ALICE data from… view at source ↗
read the original abstract

The production of light anti- and hyper-nuclei provides unique observables to characterise the system created in high energy proton-proton (pp), proton-nucleus (pA) and nucleus-nucleus (AA) collisions. In particular, nuclei and hyper-nuclei are special objects with respect to non-composite hadrons (such as pions, kaons, protons, etc.), because their size is comparable to a fraction or the whole system created in the collision. Their formation is typically described within the framework of coalescence and thermal-statistical production models. In order to distinguish between the two production scenarios, we propose to measure the coalescence parameter B$_{A}$ for different anti- and hyper-nuclei (that differ by mass, size and internal wave-function) as a function of the size of the particle emitting source. The latter can be controlled by performing systematic measurements of light (anti-)(hyper-)nuclei in different collision systems (pp, pA, AA) and as a function of the multiplicity of particles created in the collision. While it is often argued that the coalescence and the thermal model approach give very similar predictions for the production of light nuclei in heavy-ion collisions, our study shows that large differences can be expected for hyper-nuclei with extended wave-functions, as the hyper-triton. We compare the model predictions with data from the ALICE experiment and we discuss perspectives for future measurements with the upgraded detectors during the High-Luminosity LHC phase in the next decade.

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.

Referee Report

2 major / 0 minor

Summary. The manuscript proposes using multiplicity- and system-dependent measurements of the coalescence parameter B_A for light (anti-)(hyper-)nuclei in pp, pA and AA collisions to distinguish coalescence from thermal-statistical production models. It argues that large differences between the models should appear for hyper-nuclei with extended wave functions such as the hyper-triton when the effective source size is varied, compares the predictions to existing ALICE data, and outlines prospects for future LHC measurements.

Significance. If the proposed distinction can be cleanly realized, the work would supply a concrete, falsifiable test of competing formation mechanisms for composite objects whose size is comparable to the emitting source. The approach exploits the LHC's range of collision systems and multiplicities and therefore has direct experimental relevance.

major comments (2)
  1. [Abstract] Abstract: the central claim that 'our study shows that large differences can be expected for hyper-nuclei with extended wave-functions, as the hyper-triton' is load-bearing for the entire proposal, yet the manuscript provides neither the explicit model implementations nor the numerical results that demonstrate the claimed separation survives variations in temperature, chemical potentials or canonical suppression factors.
  2. [Abstract] The assumption that multiplicity and collision system act primarily as a knob for source radius R while leaving other inputs sufficiently fixed is not shown to hold for the hyper-triton B_A; without a quantitative demonstration that confounding correlations do not erase the model separation, the distinguishability of the predictions remains unverified.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment point by point below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that 'our study shows that large differences can be expected for hyper-nuclei with extended wave-functions, as the hyper-triton' is load-bearing for the entire proposal, yet the manuscript provides neither the explicit model implementations nor the numerical results that demonstrate the claimed separation survives variations in temperature, chemical potentials or canonical suppression factors.

    Authors: We agree that the abstract claim would benefit from more explicit support. The manuscript describes the coalescence and thermal-statistical models and presents their predictions for the hyper-triton B_A together with ALICE data comparisons, but the implementations and robustness checks against parameter variations are not laid out in full detail. We will add explicit model equations, parameter tables, and supplementary numerical results in a revised version to demonstrate that the predicted separation persists under reasonable variations of temperature, chemical potentials, and canonical suppression. revision: yes

  2. Referee: [Abstract] The assumption that multiplicity and collision system act primarily as a knob for source radius R while leaving other inputs sufficiently fixed is not shown to hold for the hyper-triton B_A; without a quantitative demonstration that confounding correlations do not erase the model separation, the distinguishability of the predictions remains unverified.

    Authors: We acknowledge that the manuscript relies on the effective source size R being the dominant variable tuned by multiplicity and collision system, without a dedicated quantitative study of possible correlations with other inputs for the hyper-triton. While the overall approach exploits the LHC's range of systems to vary R, we will include an additional discussion or short analysis in the revised manuscript that quantifies the sensitivity of B_A to other parameters and confirms that the model separation remains observable. revision: yes

Circularity Check

0 steps flagged

No circularity: paper compares two external standard models without reducing predictions to self-defined inputs or self-citations

full rationale

The manuscript proposes experimental measurements of B_A for nuclei and hyper-nuclei across collision systems and multiplicities to test coalescence versus thermal-statistical models. It invokes these as pre-existing frameworks and reports that their predictions diverge for the hyper-triton due to its extended wave function. No equation or result in the paper is obtained by fitting a parameter to the target observable and then relabeling it a prediction, nor does any load-bearing step reduce to a self-citation whose content is itself unverified. The central claim rests on the external models' independent structure, which the paper treats as given rather than deriving internally. This is a standard model-comparison proposal and remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Based on abstract only; no explicit free parameters, axioms, or invented entities are stated. The two production models are treated as standard background.

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discussion (0)

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