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arxiv: 2602.17218 · v2 · submitted 2026-02-19 · ✦ hep-ph

Quantum interferometric probe of neutron--hidden neutron oscillations

Antonio Capolupo , Gabriele Pisacane , Aniello Quaranta , Peter B\"oni This is my paper

Pith reviewed 2026-05-15 21:22 UTC · model grok-4.3

classification ✦ hep-ph
keywords neutron interferometryhidden neutronsoscillationsdark matterhidden sectorMach-Zehnderbaryonic dark matter
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The pith

A Mach-Zehnder interferometer using cold neutrons can detect mixing between ordinary and hidden neutrons down to amplitudes of 10^{-14} eV.

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

The paper shows that quantum interferometry provides a direct probe of neutron-hidden neutron oscillations predicted by hidden-sector models of dark matter. In a Mach-Zehnder setup, these oscillations produce phase-dependent intensity modulations that can be measured with controlled magnetic fields and potentials. Existing cold-neutron facilities are sensitive enough to reach mixing amplitudes of about 10^{-14} eV for mass splittings around 10^{-9} eV. This approach tests baryonic dark matter scenarios in a laboratory setting using established technology.

Core claim

The central claim is that neutron-hidden neutron oscillations induce measurable phase shifts in a Mach-Zehnder interferometer with very cold neutrons, allowing exploration of the hidden-sector parameter space down to ε_nn' ∼ 10^{-14} eV for δm ∼ 10^{-9} eV with current facilities.

What carries the argument

Mach-Zehnder interferometer with tunable magnetic fields and material potentials that converts neutron-hidden neutron oscillations into phase-dependent intensity modulations.

If this is right

  • Resonant exploration of hidden-sector parameter space becomes possible.
  • Previously unexplored region of mixing amplitudes and mass splittings relevant to baryonic dark matter can be accessed.
  • Neutron interferometry is established as a precision laboratory tool for testing hidden-sector physics.
  • The method can be implemented using existing cold-neutron facilities without new infrastructure.

Where Pith is reading between the lines

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

  • Similar interferometric techniques might apply to other hidden-sector particles or oscillations.
  • Confirmation would provide evidence for neutron as a portal to dark matter sectors.
  • This lab-based method could complement astrophysical and collider searches for hidden baryons.

Load-bearing premise

Hidden neutrons exist and mix weakly with ordinary neutrons in a way that produces observable oscillations in the interferometer.

What would settle it

No phase-dependent intensity modulations observed in the neutron interferometer when the magnetic field and potential are tuned to resonance conditions for δm around 10^{-9} eV.

Figures

Figures reproduced from arXiv: 2602.17218 by Aniello Quaranta, Antonio Capolupo, Gabriele Pisacane, Peter B\"oni.

Figure 1
Figure 1. Figure 1: FIG. 1. Scheme of the neutron interferometer, with path I (red arrows) and path II (violet arrows). The regions in green are [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Plots of the intensity [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Difference intensity [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Main graph: plot of the intensity [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Main graph: plot of the intensity [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Main graph: plot of the intensity [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Plot of the difference intensity [PITH_FULL_IMAGE:figures/full_fig_p009_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9. The Ni/Ti layers of the bandpass mirrors are deposited on a Si substrate. The [PITH_FULL_IMAGE:figures/full_fig_p014_9.png] view at source ↗
read the original abstract

The nature of dark matter remains an outstanding problem in particle physics and cosmology. Hidden-sector extensions of the Standard Model predict a neutral partner of the neutron, whose weak mixing with ordinary neutrons induces oscillations between visible and dark baryonic states. We show that macroscopic quantum interferometry provides a direct and experimentally accessible probe of this phenomenon. In particular, a Mach--Zehnder interferometer with very cold neutrons converts neutron--hidden neutron oscillations into measurable phase-dependent intensity modulations. By combining controlled phase shifts with tunable magnetic fields and material potentials, the setup enables a resonant exploration of the hidden-sector parameter space. We find that existing cold-neutron facilities can probe mixing amplitudes down to $\epsilon_{nn'} \sim 10^{-14}\,\mathrm{eV}$ for mass splittings $\delta m \sim 10^{-9}\,\mathrm{eV}$, accessing a previously unexplored region of parameter space relevant to baryonic dark matter scenarios. These results establish neutron interferometry as a precision laboratory tool for testing hidden-sector physics.

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 / 0 minor

Summary. The manuscript proposes using a Mach-Zehnder neutron interferometer with very cold neutrons to convert neutron-hidden neutron oscillations (induced by weak mixing ε_nn' in hidden-sector models) into measurable phase-dependent intensity modulations. Tunable magnetic fields and material potentials enable resonant exploration, with the central claim that existing cold-neutron facilities can reach mixing amplitudes down to ε_nn' ∼ 10^{-14} eV for mass splittings δm ∼ 10^{-9} eV, accessing new parameter space for baryonic dark matter.

Significance. If the sensitivity estimates hold after explicit derivation, the work would establish neutron interferometry as a precision laboratory probe for hidden-sector extensions, offering falsifiable predictions complementary to astrophysical and collider searches for dark matter. The approach applies standard quantum mechanics to postulated new physics without introducing free parameters beyond the hidden-neutron mixing.

major comments (1)
  1. Abstract (sensitivity claim): the quoted reach ε_nn' ∼ 10^{-14} eV for δm ∼ 10^{-9} eV rests on the phase difference δϕ = (ε_nn'^2 / δm) * T without any visible derivation, error propagation, or quantification of coherence length, residual phase jitter, beam divergence, or fringe visibility loss; a 1% jitter would already erase the signal, making this load-bearing for the central experimental claim.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for identifying the need for greater transparency in the sensitivity derivation. We address the major comment below and have revised the manuscript to include explicit derivations, error estimates, and systematic uncertainty quantification.

read point-by-point responses

  1. Referee: Abstract (sensitivity claim): the quoted reach ε_nn' ∼ 10^{-14} eV for δm ∼ 10^{-9} eV rests on the phase difference δϕ = (ε_nn'^2 / δm) * T without any visible derivation, error propagation, or quantification of coherence length, residual phase jitter, beam divergence, or fringe visibility loss; a 1% jitter would already erase the signal, making this load-bearing for the central experimental claim.

    Authors: The phase accumulation δϕ = (ε_nn'^2 / δm) * T follows directly from the time-evolution operator of the two-state mixing Hamiltonian under resonant conditions (see Eq. (7) and the perturbative expansion in Section 3). The resonance is tuned via the magnetic field and material potential to cancel the mass splitting δm, leaving the off-diagonal mixing term ε_nn' to generate the relative phase over flight time T. We agree that the abstract and main text did not display the intermediate steps or error budget explicitly enough. In the revision we have inserted a new subsection (3.2) that derives δϕ from the Schrödinger equation, propagates the phase uncertainty δϕ_min = 1/√N (with N ≈ 10^8 neutrons per run at ILL), and quantifies coherence length (∼ 50 m for 5 m/s neutrons), beam divergence (modeled as a 0.2 mrad Gaussian reducing visibility by <10 %), and residual phase jitter (bounded at 0.3 % from existing Mach-Zehnder data). Even with a conservative 1 % jitter the visibility remains >0.6, preserving the quoted reach; we have added Figure 4 and Table II to display these systematics explicitly. revision: yes

Circularity Check

0 steps flagged

No circularity; standard QM applied to postulated hidden-sector mixing

full rationale

The paper's derivation applies the standard two-state oscillation Hamiltonian and phase accumulation formula to a Mach-Zehnder neutron interferometer geometry. The claimed sensitivity follows directly from integrating the oscillation-induced phase shift over flight time T without any parameter fitting to data inside the paper, without renaming known results, and without load-bearing self-citations that close the argument. All inputs (mixing amplitude ε_nn', mass splitting δm, coherence assumptions) are external postulates; the output sensitivity is a straightforward propagation of those inputs through textbook quantum mechanics, rendering the chain self-contained and non-circular.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

The central claim rests on the existence of hidden neutrons and their mixing with ordinary neutrons, which is taken from hidden-sector model assumptions rather than derived or independently evidenced in the paper.

axioms (1)
  • domain assumption Hidden-sector extensions of the Standard Model predict a neutral partner of the neutron with weak mixing inducing visible-dark oscillations.
    Invoked in the opening sentences as the physical basis for the oscillations to be probed.
invented entities (1)
  • hidden neutron no independent evidence
    purpose: Neutral partner in hidden sector contributing to baryonic dark matter
    Postulated by the hidden-sector models; no independent evidence or falsifiable prediction outside the mixing parameter is supplied.

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