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arxiv: 2606.28319 · v1 · pith:Z6QOBALAnew · submitted 2026-06-26 · ✦ hep-ph

Near-threshold scattering of proton and Omega baryon and possible bound states

Yu-Jie Feng , Qian Wang , Qiang Zhao This is my paper

Pith reviewed 2026-06-29 02:56 UTC · model grok-4.3

classification ✦ hep-ph
keywords NOmega scatteringPomeron exchangebound statesLippmann-Schwinger equationmeson exchangenear-threshold physicsproton-Omega interaction^5S2 channel
0
0 comments X

The pith

Pomeron exchange improves agreement of NΩ ^5S2 observables with data and predicts a weak quasi-bound state in the ^3S1 channel.

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

The paper solves the Lippmann-Schwinger equation for near-threshold proton-Omega scattering using meson-exchange potentials supplemented by Pomeron exchange. Adding the Pomeron term brings the calculated binding energy, scattering length, and effective range in the ^5S2 partial wave into closer agreement with existing measurements. The extra attraction from the Pomeron also shrinks the spatial size of the resulting hadronic state. The same framework yields a prediction for the ^3S1 channel that contains a weak quasi-bound state.

Core claim

We study the near-threshold scattering and bound-state structure of the NΩ system by solving the Lippmann-Schwinger equation within the framework of the meson exchange model and the Pomeron exchange model. The numerical results indicate that after incorporating the Pomeron exchange mechanism, the observables of the ^5S2 channel, such as the binding energy, scattering length, and effective range, agree better with the experimental measurements. In addition, the Pomeron exchange can provide an extra attractive interaction to make the hadronic state more compact. We also predict the scattering behavior of the ^3S1 channel and confirm that a weak quasi-bound state exists in this channel.

What carries the argument

Lippmann-Schwinger equation solved with meson-exchange plus Pomeron-exchange potentials for the NΩ system in the ^5S2 and ^3S1 channels.

If this is right

  • Binding energy, scattering length and effective range in ^5S2 move closer to experimental values.
  • The hadronic state in ^5S2 becomes spatially more compact.
  • A weak quasi-bound state appears in the ^3S1 channel.
  • Scattering observables in ^3S1 provide a direct test of the Pomeron contribution.

Where Pith is reading between the lines

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

  • The same potential construction could be applied to other near-threshold baryon-baryon systems to check whether Pomeron exchange systematically improves compactness.
  • If the ^3S1 quasi-bound state is confirmed, it would suggest that Pomeron exchange helps stabilize compact multiquark configurations beyond the NΩ case.
  • Experimental searches focused on the ^3S1 channel could distinguish between pure meson-exchange models and those that include Pomeron exchange.

Load-bearing premise

The combined meson-exchange and Pomeron-exchange potentials, when inserted into the Lippmann-Schwinger equation, capture the dominant near-threshold dynamics without extra channels or relativistic corrections.

What would settle it

A future measurement of the ^3S1 scattering length or binding energy that lies far outside the range predicted by the Pomeron-inclusive calculation.

Figures

Figures reproduced from arXiv: 2606.28319 by Qiang Zhao, Qian Wang, Yu-Jie Feng.

Figure 1
Figure 1. Figure 1: FIG. 1. Feynman diagrams of [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Behavior of Pomeron-exchange interaction potential [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Dependence of the scattering length on the strength of [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Trajectory of poles in the first Riemann sheet. The [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Dependence of the scattering length and compositeness on the Pomeron exchange strength. (a,c) corresponds to the [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. The interaction potential of [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. The interaction potential of [PITH_FULL_IMAGE:figures/full_fig_p009_7.png] view at source ↗
read the original abstract

We study the near-threshold scattering and bound-state structure of the $N\Omega$ system by solving the Lippmann-Schwinger (L-S) equation within the framework of the meson exchange model and the Pomeron exchange model. The numerical results indicate that after incorporating the Pomeron exchange mechanism, the observables of the ${^5}S{_2}$ channel, such as the binding energy, scattering length, and effective range, agree better with the experimental measurements. In addition, The Pomeron exchange can provide an extra attractive interaction to make the hadronic state more compact. We also predict the scattering behavior of the ${^3}S{_1}$ channel and confirm that a weak quasi-bound state exists in this channel. Future experimental measurements on the ${^3}S{_1}$ channel will provide an important criterion for verifying the dynamic role played by the Pomeron exchange mechanism within the $N\Omega$ system.

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

3 major / 2 minor

Summary. The paper studies near-threshold NΩ scattering and possible bound states by solving the non-relativistic Lippmann-Schwinger equation with meson-exchange potentials supplemented by a Pomeron-exchange term. It claims that adding the Pomeron improves agreement with experimental values for the ^5S2 channel observables (binding energy, scattering length, effective range), supplies extra attraction that makes the state more compact, and predicts a weak quasi-bound state in the ^3S1 channel whose future measurement would test the Pomeron mechanism.

Significance. If the modeling holds, the work would indicate that a high-energy Regge-inspired Pomeron term can meaningfully affect low-energy baryon-baryon observables and help stabilize compact states. The ^3S1 prediction supplies a concrete experimental test. The significance is reduced, however, by the absence of any reported parameter-fitting procedure, cutoff sensitivity, or independent validation of the Pomeron potential at threshold.

major comments (3)
  1. [Abstract and model-construction section] Abstract and model-construction section: the assertion that Pomeron exchange produces better agreement with experiment for ^5S2 observables supplies no information on how the Pomeron coupling was fixed, whether it was adjusted to the same data used for the comparison, or how results change under variation of the cutoff or channel truncation. Without this, the improvement cannot be assessed as robust.
  2. [Pomeron potential derivation] Pomeron potential derivation: the manuscript inserts a static Pomeron-exchange potential into the Lippmann-Schwinger equation at threshold energies, yet provides no first-principles derivation or low-energy validation for this step. Because Pomeron exchange is conventionally a high-energy Regge phenomenon, its use here as an attractive term is load-bearing for both the improved ^5S2 results and the ^3S1 quasi-bound-state claim; the lack of justification therefore undermines attribution of the effects to the Pomeron mechanism.
  3. [^3S1 results paragraph] ^3S1 results paragraph: the prediction of a weak quasi-bound state rests on the same unvalidated Pomeron term and the non-relativistic, single-channel LS framework. No estimate is given for the size of relativistic corrections or omitted channels, both of which are potentially important near threshold.
minor comments (2)
  1. [Notation] Notation: the spin-channel labels (^5S2, ^3S1) should be used consistently in all equations and tables.
  2. [References] References: the manuscript should cite prior meson-exchange studies of the NΩ system and any existing low-energy applications of Pomeron exchange for comparison.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments. We address each major point below and indicate where revisions will be made to strengthen the manuscript.

read point-by-point responses

  1. Referee: [Abstract and model-construction section] Abstract and model-construction section: the assertion that Pomeron exchange produces better agreement with experiment for ^5S2 observables supplies no information on how the Pomeron coupling was fixed, whether it was adjusted to the same data used for the comparison, or how results change under variation of the cutoff or channel truncation. Without this, the improvement cannot be assessed as robust.

    Authors: We agree that the manuscript lacks explicit details on the Pomeron coupling determination and sensitivity studies. In the revised version we will add a dedicated subsection describing how the Pomeron parameters were chosen (including any relation to existing phenomenological values or data), together with explicit results for cutoff variations and channel truncation to demonstrate robustness. revision: yes

  2. Referee: [Pomeron potential derivation] Pomeron potential derivation: the manuscript inserts a static Pomeron-exchange potential into the Lippmann-Schwinger equation at threshold energies, yet provides no first-principles derivation or low-energy validation for this step. Because Pomeron exchange is conventionally a high-energy Regge phenomenon, its use here as an attractive term is load-bearing for both the improved ^5S2 results and the ^3S1 quasi-bound-state claim; the lack of justification therefore undermines attribution of the effects to the Pomeron mechanism.

    Authors: The Pomeron term is introduced as a phenomenological extension motivated by Regge phenomenology and prior applications to baryon-baryon systems; a complete first-principles QCD derivation lies outside the scope of the present work. We will expand the model-construction section with additional references and a concise discussion of the static approximation's rationale at low energies, while explicitly noting the phenomenological nature of the choice and its limitations. revision: partial

  3. Referee: [^3S1 results paragraph] ^3S1 results paragraph: the prediction of a weak quasi-bound state rests on the same unvalidated Pomeron term and the non-relativistic, single-channel LS framework. No estimate is given for the size of relativistic corrections or omitted channels, both of which are potentially important near threshold.

    Authors: We acknowledge that quantitative estimates of relativistic corrections and omitted-channel effects would improve the ^3S1 discussion. In the revision we will add a short paragraph providing order-of-magnitude estimates based on typical scales near threshold and argue why the non-relativistic single-channel treatment remains a reasonable first approximation, while noting that a full relativistic multi-channel calculation is left for future work. revision: yes

Circularity Check

0 steps flagged

No circularity: derivation remains independent of its fitted outputs

full rationale

The provided text (abstract plus context) describes solving the Lippmann-Schwinger equation with meson-exchange plus Pomeron-exchange potentials and then comparing the resulting binding energy, scattering length, and effective range to external experimental measurements. No equations, parameter-fitting statements, or self-citations are supplied that would allow any observable to be rewritten as a direct function of itself or of a parameter tuned to the same data. The comparison is therefore to an independent benchmark, satisfying the condition for a self-contained derivation.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available, so free parameters, axioms, and invented entities cannot be identified from the text.

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discussion (0)

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Reference graph

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