Level rearrangement in K- p system

J. Revai; N.V. Shevchenko; T. Massimino; Z. Papp

arxiv: 2606.21261 · v1 · pith:TCTNJMQYnew · submitted 2026-06-19 · ⚛️ nucl-th

Level rearrangement in K- p system

T. Massimino , N.V. Shevchenko , Z. Papp , J. Revai This is my paper

Pith reviewed 2026-06-26 12:56 UTC · model grok-4.3

classification ⚛️ nucl-th

keywords kaonic hydrogenlevel rearrangementstrong interactionCoulomb potentialantikaon-nucleonabsorption

0 comments

The pith

The interplay of strong and Coulomb potentials causes level rearrangement in the K- p system, making the 1s shift of kaonic hydrogen attractive.

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

The authors investigate the energy level shifts in kaonic hydrogen arising from both the short-range strong nuclear force and the long-range electromagnetic Coulomb force. They report that this combination induces a rearrangement of the atomic levels, resulting in an attractive shift for the ground state. This finding is significant because it refines our understanding of how strong interactions manifest in bound systems involving antikaons. Additionally, the inclusion of absorption channels in the strong potential does not eliminate the observed rearrangement.

Core claim

We observed a level rearrangement in the K- p system caused by the interplay of strong nuclear and long range Coulomb potentials. The 1s shift of kaonic hydrogen is in fact attractive. Absorption in the strong antikaon-nucleon interaction does not destroy the level rearrangement.

What carries the argument

Level rearrangement arising from the combined strong and Coulomb potentials in the K- p atom.

Load-bearing premise

The strong antikaon-nucleon potential has a particular form and strength such that its combination with the Coulomb potential produces the level rearrangement.

What would settle it

A measurement of the 1s energy shift in kaonic hydrogen that is repulsive rather than attractive would falsify the claim of rearrangement.

Figures

Figures reproduced from arXiv: 2606.21261 by J. Revai, N.V. Shevchenko, T. Massimino, Z. Papp.

**Figure 2.** Figure 2: FIG. 2. Wave functions of the ground 1 [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3. Level rearrangement in the [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗

read the original abstract

We studied the level shifts in the $K^- p$ system caused by the interplay of strong nuclear and long range Coulomb potentials. We observed a level rearrangement in the system and found that the $1s$ shift of kaonic hydrogen is in fact ``attractive''. In addition, we demonstrated that absorption in the strong antikaon-nucleon interaction does not destroy the level rearrangement.

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

Level rearrangement and attractive 1s shift in K- p rest on one specific strong potential without robustness checks.

read the letter

The one thing to know is that this work claims a level rearrangement in the K- p system that turns the 1s shift attractive, and that absorption leaves it intact, but both rest on their chosen strong potential.

They combine the strong antikaon-nucleon potential with the Coulomb one and look at the resulting level shifts. The rearrangement is the new observation they highlight, along with the sign of the shift being attractive rather than repulsive. Adding the imaginary part for absorption is a reasonable extension, and they show it does not destroy the rearrangement.

That check is the part that stands out as useful. It addresses a possible objection directly.

The soft spot is the model dependence. The stress-test note is on target. Nothing in the abstract indicates they varied the potential parameters within the range allowed by scattering data. A different but still plausible potential could eliminate the rearrangement or flip the shift sign. Without that test, the headline result is tied to one choice.

The paper is incremental. It builds on existing studies of kaonic hydrogen without introducing new techniques or resolving open questions in a broader way.

Readers working on exotic atoms or low-energy hadron physics might find the absorption result worth noting. For anyone else, it's too specialized and conditional to be worth much time.

I would not bring this to a reading group. I would not cite it. It does not look like it deserves peer review in its current form because the central claim needs the robustness check that is missing.

Referee Report

1 major / 1 minor

Summary. The paper examines level shifts in the K^- p system arising from the interplay between a strong antikaon-nucleon potential and the long-range Coulomb potential. It reports the observation of level rearrangement and concludes that the 1s shift of kaonic hydrogen is attractive. The work further demonstrates that inclusion of absorption in the strong interaction does not eliminate the rearrangement effect.

Significance. If the central result is robust, the finding of an attractive 1s shift would be noteworthy for the interpretation of kaonic-atom data and the low-energy KN interaction. The explicit check that absorption preserves the rearrangement adds value. However, the significance is conditional on the specific potential chosen; the manuscript provides no evidence that the sign of the shift survives reasonable variations in range, strength, or imaginary part consistent with scattering data.

major comments (1)

[Potential model and numerical results (likely §2–4)] The headline claim that the 1s shift is attractive and that level rearrangement occurs rests entirely on one particular parametrization of the strong potential. No scan or sensitivity study over plausible alternative forms (range, depth, or absorptive strength) consistent with KN data is presented; a different but still viable potential could move the system out of the rearrangement regime and reverse the sign of the shift. This is load-bearing for the central result.

minor comments (1)

[Abstract] The abstract is concise but could usefully state the specific potential employed and the range of parameters explored.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the detailed review and for highlighting the importance of robustness with respect to the strong-interaction potential. We address the single major comment below and indicate the revisions we will make.

read point-by-point responses

Referee: [Potential model and numerical results (likely §2–4)] The headline claim that the 1s shift is attractive and that level rearrangement occurs rests entirely on one particular parametrization of the strong potential. No scan or sensitivity study over plausible alternative forms (range, depth, or absorptive strength) consistent with KN data is presented; a different but still viable potential could move the system out of the rearrangement regime and reverse the sign of the shift. This is load-bearing for the central result.

Authors: We agree that the central results are obtained with one specific parametrization of the strong potential. The manuscript demonstrates level rearrangement and an attractive 1s shift (including the persistence of the effect when absorption is added) for that choice, which is constrained by low-energy KN data. However, we acknowledge that no explicit variation of range, depth or imaginary strength within the experimentally allowed window is shown. In the revised manuscript we will add a sensitivity study: we will repeat the calculation for a small set of alternative potentials (different ranges and depths, with imaginary parts adjusted to remain consistent with KN scattering lengths and cross sections) and report whether the rearrangement and the sign of the 1s shift survive. If any of the variants move the system out of the rearrangement regime we will state this explicitly and qualify the conclusions accordingly. revision: yes

Circularity Check

0 steps flagged

No circularity; derivation follows from numerical solution of Schrödinger equation with given potentials

full rationale

The paper computes level shifts and rearrangement in the K-p system by solving the two-body problem with a specific strong antikaon-nucleon potential plus Coulomb interaction. The reported attractive 1s shift and persistence under absorption are direct numerical outputs for the chosen interaction; no equation or result is shown to be identical to its inputs by construction, no fitted parameter is relabeled as a prediction, and no load-bearing premise reduces to a self-citation chain. The model dependence is explicit but does not meet any of the enumerated circularity criteria.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only abstract available; no free parameters, axioms, or invented entities can be identified.

pith-pipeline@v0.9.1-grok · 5584 in / 910 out tokens · 23306 ms · 2026-06-26T12:56:46.600681+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

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Z. Bajzer, Zeitschrift f¨ ur Physik A Atoms and Nuclei278, 97 (1976)

1976

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Papp, Journal of Physics A: Mathematical and General20, 153 (1987)

Z. Papp, Journal of Physics A: Mathematical and General20, 153 (1987)

1987

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N. V. Shevchenko, Physical Review C112, 064007 (2025)

2025

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C. J. Batty and A. Gal, Il Nuovo Cimento A (1965-1970)102, 255 (1989)

1965

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Bazzi, G

M. Bazzi, G. Beer, L. Bombelli, A. M. Bragadireanu, M. Cargnelli, G. Corradi, and C. Curceanu, Phys. Lett. B704, 113 (2011)

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A. M. Badalyan, L. P. Kok, M. I. Polikarpov, and Y. A. Simonov, Physics Reports82, 31 (1982)

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A. Gal, E. Friedman, and C. J. Batty, Nuclear Physics A606, 283 (1996). 11

1996