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arxiv: 2604.00618 · v1 · pith:TOTH7YCWnew · submitted 2026-04-01 · ⚛️ nucl-th · hep-ex· hep-ph· nucl-ex

Absorption of 1P-wave heavy charmonium chi_(c1)(1P) in nuclei

E. Ya. Paryev This is my paper

Pith reviewed 2026-05-21 10:41 UTC · model grok-4.3

classification ⚛️ nucl-th hep-exhep-phnucl-ex
keywords charmonium photoproductionnuclear absorptionχ_c1(1P)transparency ratiospectral functionCEBAFheavy-ion collisions
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The pith

Nuclear photoproduction observables distinguish different strengths of χ_c1(1P) absorption in nuclei.

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

The paper calculates inclusive photoproduction of the χ_c1(1P) charmonium from carbon and tungsten nuclei near the kinematic threshold. It uses a model based on the nuclear spectral function that includes final-state absorption in the nuclear medium along with nucleon binding and Fermi motion. Absolute and relative excitation functions, momentum differential cross sections, and transparency ratios are computed for different assumed values of the absorption cross section. These observables show distinct sensitivities to the absorption strength. This sensitivity could allow extraction of the cross section by comparing predictions to data from upcoming experiments at the upgraded CEBAF facility.

Core claim

The absolute and relative observables for χ_c1(1P) photoproduction on 12C and 184W nuclei exhibit distinct sensitivity to different scenarios for the χ_c1(1P) absorption cross section in nuclei, making them useful for determining this cross section from future experimental data at the CEBAF facility.

What carries the argument

The collision model based on the nuclear spectral function for incoherent direct photon-nucleon charmonium creation processes, which incorporates final-state absorption, target nucleon binding, and Fermi motion.

If this is right

  • Absolute and relative excitation functions at photon energies of 8.25-16 GeV will differ visibly between weak and strong absorption scenarios on both nuclei.
  • Momentum differential cross sections at 13 GeV and angles 0-10 degrees will vary in shape and magnitude according to the absorption strength.
  • A-dependences of transparency ratios at 13 GeV will separate the scenarios through their variation with nuclear mass.
  • Comparison with future data can fix the value of the in-medium absorption cross section.
  • The extracted cross section informs models of charmonium suppression in high-energy heavy-ion collisions.

Where Pith is reading between the lines

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

  • The same framework applied to other charmonium states such as J/ψ could separate state-dependent absorption from common nuclear effects.
  • Energy dependence extracted from the 8-16 GeV range might be extrapolated to higher energies relevant for collider experiments.
  • If the sensitivities hold, the observables provide an independent constraint on charmonium transport coefficients in nuclear matter.

Load-bearing premise

The nuclear spectral function model accurately describes incoherent direct photon-nucleon processes without significant missing nuclear effects or medium modifications.

What would settle it

Measurements at the upgraded CEBAF facility showing identical results for the considered observables across all assumed absorption cross sections would falsify the predicted distinct sensitivities.

Figures

Figures reproduced from arXiv: 2604.00618 by E. Ya. Paryev.

Figure 1
Figure 1. Figure 1: (Color online.) Total cross sections for the reactions [PITH_FULL_IMAGE:figures/full_fig_p008_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (Color online.) The fractions of J/ψ mesons arising from radiative decays of the two χc1(1P), χc2(1P) states (F(χc)) and hadronic decays of the ψ(2S) mesons (F(ψ ′ )) produced, re￾spectively, in the direct reactions γp → χc1,c2(1P)p and γp → ψ(2S)p with respect to the total J/ψ yield originating from these decays and from the process γp → J/ψp as well as their sum, F(χc) + F(ψ ′ ), as functions of the inci… view at source ↗
Figure 3
Figure 3. Figure 3: (Color online.) Excitation function for production of [PITH_FULL_IMAGE:figures/full_fig_p011_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: (Color online.) The same as in Fig. 3, but for the [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: (Color online.) Momentum differential cross sections for the production of [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: (Color online.) Transparency ratio TA for the χc1(1P) mesons from the direct processes (1), (2) proceeding on an off-shell target nucleons as a function of the incident photon energy for combination 184W/12C, calculated for different values of the absorption cross section σχcN indicated in the inset. The arrow indicates the threshold energy for the χc1(1P) photoproduction on a free target nucleon at rest. … view at source ↗
Figure 7
Figure 7. Figure 7: (Color online.) Transparency ratio TA for the χc1(1P) mesons from the direct processes (1), (2) proceeding on an off-shell target nucleons as a function of the χc1(1P) laboratory momentum for incident photon energy of 13 GeV for combination 184W/12C, calculated in the laboratory polar angular range of 0◦–10◦ for different values of the absorption cross section σχcN indicated in the inset. to the high-momen… view at source ↗
Figure 8
Figure 8. Figure 8: (Color online.) Transparency ratio SA for the χc1(1P) mesons from the direct processes (1), (2) proceeding on an off-shell target nucleons at incident photon energy of 13 GeV in the laboratory system as a function of the nuclear mass number A, calculated for different values of the absorption cross section σχcN indicated in the inset. The lines are to guide the eyes. cases of relatively ”light”, medium-mas… view at source ↗
Figure 9
Figure 9. Figure 9: (Color online.) The same as in Fig. 8, but for the transparency ratio [PITH_FULL_IMAGE:figures/full_fig_p017_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: (Color online.) Transparency ratio TA for the χc1(1P) mesons from the direct processes (1), (2) proceeding on an off-shell target nucleons as a function of the absorption cross section σχcN at incident photon energy of 13 GeV for combination 184W/12C. References [1] A. Adare et al. [the PHENIX Collaboration], Phys. Rev. Lett. 111, 202301 (2013), arXiv:1305.5516 [nucl-ex]. [2] I. Arsene et al. [the BRAHMS … view at source ↗
read the original abstract

We study the inclusive heavy charmonium $\chi_{c1}(1P)$ photoproduction from nuclei near the kinematic threshold within the collision model, based on the nuclear spectral function, for incoherent direct photon--nucleon charmonium creation processes. The model accounts for the final $\chi_{c1}(1P)$ absorption in nuclear medium, target nucleon binding and Fermi motion. We calculate the absolute and relative excitation functions on $^{12}$C and $^{184}$W target nuclei at near-threshold photon beam energies of 8.25--16.0 GeV, the absolute momentum differential cross sections and ratios of them for its production off these target nuclei at laboratory polar angles of 0$^{\circ}$--10$^{\circ}$ and for photon energy of 13 GeV as well as the A-dependences of the transparency ratios for the $\chi_{c1}(1P)$ at photon energy of 13 GeV within the different scenarios for its absorption cross section in nuclei. We demonstrate that the absolute and relative observables considered reveal distinct sensitivity to these scenarios. Therefore, they might be useful for the determination of this cross section from the comparison of them with the experimental data from the future experiments at the upgraded up to 22 GeV CEBAF facility, which is of crucial importance in understanding of charmonium production and suppression in high-energy heavy--ion collisions in a search for the quark-gluon plasma.

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

1 major / 1 minor

Summary. The paper studies inclusive photoproduction of the χ_c1(1P) charmonium near kinematic threshold on nuclei using a nuclear spectral function model for incoherent direct photon-nucleon processes. The model includes final-state absorption in the nuclear medium together with target nucleon binding and Fermi motion. Absolute and relative excitation functions are computed for 12C and 184W at photon energies 8.25–16 GeV; absolute momentum spectra and their ratios are given at 13 GeV for lab angles 0°–10°; and A-dependences of transparency ratios are presented at 13 GeV. These observables are evaluated under several scenarios for the χ_c1(1P) absorption cross section, and the authors conclude that the observables display distinct sensitivity to the choice of scenario, offering a route to extract the cross section from future CEBAF data.

Significance. If the claimed sensitivities survive a more complete treatment of formation dynamics, the work supplies a concrete set of observables that could constrain the in-medium absorption cross section of the 1P charmonium state. Such a constraint would be directly relevant to the interpretation of charmonium suppression patterns in heavy-ion collisions and to the search for quark-gluon plasma signatures.

major comments (1)
  1. The nuclear spectral function model employed throughout the manuscript does not modulate the absorption probability by a position-dependent formation factor. Near threshold (E_γ = 8.25–16 GeV) the formation length l_form ≈ (E_χ / m_χ) τ_form can reach several fm and become comparable to nuclear radii; any such effect would vary with photon energy, emission angle, and target mass, potentially correlating with or masking the differences between the assumed absorption scenarios and thereby weakening the central claim of distinct sensitivity.
minor comments (1)
  1. The abstract and introduction would benefit from an explicit statement of the numerical values adopted for the absorption cross section in each scenario.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comment. We address the major point below.

read point-by-point responses

  1. Referee: The nuclear spectral function model employed throughout the manuscript does not modulate the absorption probability by a position-dependent formation factor. Near threshold (E_γ = 8.25–16 GeV) the formation length l_form ≈ (E_χ / m_χ) τ_form can reach several fm and become comparable to nuclear radii; any such effect would vary with photon energy, emission angle, and target mass, potentially correlating with or masking the differences between the assumed absorption scenarios and thereby weakening the central claim of distinct sensitivity.

    Authors: We acknowledge that the nuclear spectral function model used in the manuscript does not incorporate an explicit position-dependent formation factor for the χ_c1(1P) state. The calculations assume absorption of the fully formed charmonium in the nuclear medium after production via the incoherent photon-nucleon process. While formation-length effects could in principle introduce additional energy, angle, and A dependence near threshold, the relative observables (such as ratios of excitation functions, momentum spectra, and transparency ratios) are constructed to highlight differences arising from the choice of absorption cross section. We will revise the manuscript to include a dedicated paragraph discussing the formation-length approximation, its possible influence on the reported sensitivities, and the limitations of the present approach. revision: partial

Circularity Check

0 steps flagged

No circularity: parametric sensitivity study with independent inputs

full rationale

The paper treats the χ_c1(1P) absorption cross section as an external input varied across explicit scenarios, then computes absolute/relative excitation functions, momentum spectra, and transparency ratios via the nuclear spectral function model that incorporates binding and Fermi motion. These forward calculations are not derived from or fitted to the target observables; the claimed distinct sensitivity follows directly from the differing input values propagated through the model equations. No self-definitional steps, fitted inputs renamed as predictions, or load-bearing self-citations appear in the derivation chain. The work is self-contained against external benchmarks because the model assumptions (spectral function, incoherent production) are stated separately from the absorption scenarios and can be tested independently with data.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the validity of the collision model and the chosen absorption scenarios, which are not derived from first principles but assumed to explore possibilities.

free parameters (1)
  • absorption cross section
    Different possible values for the absorption cross section are assumed to test sensitivity of observables.
axioms (1)
  • domain assumption Use of nuclear spectral function for photon-nucleon interactions
    The model is based on the nuclear spectral function for incoherent direct photon--nucleon charmonium creation processes.

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discussion (0)

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Reference graph

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