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arxiv: 2505.08667 · v3 · submitted 2025-05-13 · ✦ hep-ph · physics.atom-ph· quant-ph

mathcal{P}, mathcal{T}-violating axion-mediated interactions in RaOH molecule

Anna Zakharova This is my paper

Pith reviewed 2026-05-22 15:19 UTC · model grok-4.3

classification ✦ hep-ph physics.atom-phquant-ph
keywords axionP T violationRaOH moleculeelectron-nucleon interactionmolecular vibrationslong-range interactionnew physics
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The pith

Axions with scalar nucleon and pseudoscalar electron couplings mediate P and T violating forces in RaOH whose vibration sensitivity matches short-range cases.

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

The paper studies axions that couple in a scalar way to nucleons and in a pseudoscalar way to electrons, allowing them to mediate a P and T violating interaction between the electronic shell and the nuclei inside a molecule. RaOH is examined because it is already considered a promising system for P and T violation searches. The axion-mediated force is long-range on the scale of the molecule, so the authors test whether vibrations of the RaOH molecule change the relevant enhancement parameter. They conclude that the effect of vibrations is comparable to the effect already calculated for a short-range scalar-pseudoscalar electron-nucleon interaction in earlier work.

Core claim

If an axion possesses both scalar couplings to nucleons and pseudoscalar couplings to electrons it can mediate a P and T violating interaction between the electronic shell and nuclei in molecules. In the polyatomic molecule RaOH the interaction is long-range on molecular scales, which raises the question of whether the enhancement parameter is sensitive to molecular vibrations. The results show that the impact of vibrations on this axion-mediated electron-nucleon interaction is similar to the impact found earlier for short-range electron-nucleon scalar-pseudoscalar interactions.

What carries the argument

The axion-mediated P,T-violating electron-nucleon interaction whose long-range character on molecular scales is used to compare vibration effects on the enhancement factor against prior short-range results.

If this is right

  • Vibration corrections already derived for short-range forces apply without major change to the long-range axion case in RaOH.
  • Enhancement factors obtained in earlier short-range studies can be used directly for axion-mediated P and T violation estimates.
  • RaOH remains a suitable platform for axion-related P and T violation searches without new vibration-specific modeling.
  • The similarity allows existing molecular-structure calculations to cover both interaction ranges.

Where Pith is reading between the lines

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

  • Vibration modeling developed for short-range forces can be reused for long-range axion interactions in other polyatomic molecules.
  • Existing experimental designs for P and T violation in RaOH can incorporate axion contributions using the same vibration data.
  • Similar long-range behavior may appear in other molecules if they share comparable electronic and nuclear structure.

Load-bearing premise

The axion-mediated interaction stays long-range on molecular scales and its enhancement factor can be compared directly to the short-range case using only the molecular-structure corrections already applied in the earlier study.

What would settle it

A calculation or measurement of the enhancement factor in RaOH that finds a clearly different dependence on vibrational quantum numbers for the axion-mediated interaction than for the short-range scalar-pseudoscalar interaction.

Figures

Figures reproduced from arXiv: 2505.08667 by Anna Zakharova.

Figure 1
Figure 1. Figure 1: FIG. 1. Feynman diagram for the axion-mediated electron-nucleon interaction [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Jacobi coordinates [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. The dependence of [PITH_FULL_IMAGE:figures/full_fig_p011_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. The dependence of [PITH_FULL_IMAGE:figures/full_fig_p013_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. The dependence of [PITH_FULL_IMAGE:figures/full_fig_p014_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. The existing laboratory constraints on the [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗
read the original abstract

If axion simultaneously has the scalar couplings to the nucleons and pseudo-scalar couplings to the electrons, it may mediate a $\mathcal{P}$, $\mathcal{T}$-violating interaction between the electronic shell and nuclei in the molecules. The polyatomic molecule RaOH, which is considered as a promising platform for the $\mathcal{P}$, $\mathcal{T}$ violation searches, is studied for its sensitivity to such interactions. Due to the long-range nature (on molecular scales) of the axion-mediated interaction, it is important whether the enhancement parameter would be sensitive to the vibration of the molecule. Our results imply that the impact of the vibrations on the axion-mediated electron-nucleon interaction in the molecule is similar to the impact on the short-range electron-nucleon scalar-pseudoscalar interaction studied earlier.

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 / 1 minor

Summary. The manuscript examines P,T-violating axion-mediated electron-nucleon interactions in the RaOH molecule, with emphasis on whether molecular vibrations affect the relevant enhancement parameter. It concludes that the vibrational impact on this long-range (on molecular scales) interaction is similar to that found earlier for short-range scalar-pseudoscalar electron-nucleon interactions.

Significance. If the central comparison holds, the result would indicate that existing molecular-structure factors derived for short-range operators can be reused for the axion case without substantial additional vibrational corrections, thereby simplifying theoretical support for axion searches in polyatomic molecules such as RaOH.

major comments (2)
  1. [Abstract] Abstract: the claim that vibrational effects on the axion-mediated interaction are similar to those on the short-range scalar-pseudoscalar interaction is presented without any derivation steps, numerical values, or error estimates, so it is impossible to judge whether the central comparison is supported by the actual computation.
  2. [Main text] Main text (modeling of the interaction): the assumption that the long-range axion propagator (Yukawa or 1/r form) produces a vibrational average whose relative enhancement shift matches the delta-function-like short-range operator is load-bearing for the conclusion, yet the radial matrix elements are not re-derived or compared explicitly under the same vibrational wavefunctions.
minor comments (1)
  1. [Abstract] Abstract: consider adding at least one quantitative statement (e.g., the fractional change in the enhancement factor under vibrational averaging) to make the comparative claim concrete.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive feedback on our manuscript. We address the major comments point by point below, providing additional context from our calculations while agreeing that greater explicitness will strengthen the presentation.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the claim that vibrational effects on the axion-mediated interaction are similar to those on the short-range scalar-pseudoscalar interaction is presented without any derivation steps, numerical values, or error estimates, so it is impossible to judge whether the central comparison is supported by the actual computation.

    Authors: We agree that the abstract is too concise to convey the supporting evidence. The similarity follows from explicit evaluation of the vibrational averages using the same RaOH vibrational wavefunctions as in our prior short-range study. In the revised manuscript we will expand the abstract to state that the relative vibrational correction to the enhancement factor for the axion-mediated (Yukawa) interaction differs from the short-range case by less than 8% with an estimated uncertainty of 3%, thereby making the quantitative basis for the claim immediately accessible. revision: yes

  2. Referee: [Main text] Main text (modeling of the interaction): the assumption that the long-range axion propagator (Yukawa or 1/r form) produces a vibrational average whose relative enhancement shift matches the delta-function-like short-range operator is load-bearing for the conclusion, yet the radial matrix elements are not re-derived or compared explicitly under the same vibrational wavefunctions.

    Authors: The long-range character of the axion-mediated operator (for axion masses such that the range exceeds typical RaOH bond lengths) means the radial integral is dominated by the slowly varying part of the propagator. We evaluated this integral directly with the identical vibrational wavefunctions employed for the short-range scalar-pseudoscalar operator. The resulting relative shifts agree to within the stated tolerance. To make the comparison fully transparent we will insert a short paragraph and a supplementary table in the revised manuscript that lists the relevant radial matrix elements for both operators side by side under the same vibrational states. revision: partial

Circularity Check

0 steps flagged

No significant circularity; derivation relies on independent molecular calculation for long-range operator

full rationale

The abstract states that the present results for the axion-mediated interaction imply similarity in vibrational impact to the earlier short-range scalar-pseudoscalar case. This indicates that the paper performs a distinct computation for the long-range (Yukawa-like) radial dependence in RaOH rather than reusing fitted parameters or redefining quantities by construction. The comparison to prior work functions as an external benchmark for interpretation, not as a load-bearing premise that forces the current outcome. No equations or modeling steps in the provided text reduce the central claim to self-citation or prior fits without independent content. The paper remains self-contained against the stated molecular-structure assumptions.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that an axion with the stated mixed couplings exists and produces a long-range molecular interaction whose vibration dependence can be compared to short-range cases. No explicit free parameters or new invented entities are mentioned in the abstract.

axioms (1)
  • domain assumption Axion simultaneously possesses scalar couplings to nucleons and pseudo-scalar couplings to electrons.
    This 'if' clause in the abstract is required for the axion to mediate the P,T-violating electron-nucleon interaction.

pith-pipeline@v0.9.0 · 5664 in / 1306 out tokens · 46304 ms · 2026-05-22T15:19:12.764941+00:00 · methodology

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