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Rotation-induced Relaxation of Supernova Constraints on Axionlike Particles
Pith reviewed 2026-05-10 04:34 UTC · model grok-4.3
The pith
Rotation in core-collapse supernovae relaxes energy-loss bounds on MeV-scale axion-like particles.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Adopting initial core angular velocities of 0 and 1 rad s^{-1}, we perform two-dimensional core-collapse supernova simulations for three solar-metallicity progenitors and post-process the ALP emission rates. Rotation suppresses ALP emission by lowering the core temperature via centrifugal support; this suppression is more effective than the corresponding reduction in neutrino luminosity, so the energy-loss argument yields relaxed constraints on the ALP-photon coupling. The relaxation is strongest in the rotating 18 M⊙ model, where central temperature drops sharply at t_pb = 0.8–1 s. Rapid temporal temperature variations make the resulting bounds sensitive to the chosen evaluation time. For a
What carries the argument
Centrifugal support in rotating 2D core-collapse simulations that lowers central temperature and thereby suppresses post-processed ALP emission rates relative to non-rotating cases.
If this is right
- Energy-loss constraints on the ALP-photon coupling are weaker for rotating progenitors than for non-rotating ones.
- The relaxation is largest for the 18 M⊙ model around 0.8–1 s post-bounce because of a pronounced central-temperature drop.
- Gamma-ray fluence limits from SN 1987A are insensitive to rotation because they scale with the fourth power of the coupling.
- Bounds obtained with the energy-loss argument depend on the exact post-bounce time chosen for evaluation when temperature varies rapidly.
Where Pith is reading between the lines
- If most core-collapse supernovae rotate at rates comparable to the 1 rad s^{-1} models, a larger region of ALP parameter space remains allowed by SN 1987A data.
- Three-dimensional simulations with full rotation would be needed to confirm whether the temperature suppression and resulting relaxation persist.
- The same centrifugal mechanism could alter other temperature-sensitive bounds, such as those from neutron-star cooling or early-universe production of ALPs.
Load-bearing premise
The simplified energy-loss criterion still gives a reliable upper bound on total ALP energy even when core temperature changes rapidly with time.
What would settle it
Integrate the ALP energy-loss rate over the entire cooling phase in a three-dimensional rotating supernova simulation and check whether the total exceeds the ~10^53 erg limit inferred from SN 1987A.
Figures
read the original abstract
We study how rotation modifies the constraints on MeV-scale axion-like particles (ALPs) coupled to photons derived from SN 1987A. We constrain the ALP parameter space based on both the energy-loss argument and the gamma-ray limits, and examine how these constraints are affected by stellar rotation. Adopting initial angular velocities of ${\Omega}_{0} = 0.0 and 1.0 rad s^{-1}$ in the iron core, we carry out two-dimensional core-collapse supernova simulations for three progenitor models - a $14 + 9M_{\odot}$ binary and $13M_{\odot}$ and $18M_{\odot}$ single stars with solar metallicity - and estimate ALP emission rates through post-processing. We find that rotation suppresses ALP emission by reducing the core temperature via centrifugal support. Rotation also reduces the neutrino luminosity, but the suppression of ALP emission is more effective, leading to relaxed constraints within a simplified criterion based on the energy-loss argument. This relaxation is particularly pronounced in the rotating $18M_{\odot}$ model, where a substantial decrease in the central temperature occurs at $t_{pb} = 0.8 - 1 s$. In this simplified criterion, such rapid temporal variations in temperature indicate that the resulting constraints depend sensitively on both the evaluation time and the underlying supernova model. For a gamma-ray limit from the SN 1987A observation, rotation has a negligible impact on the constraint. This is because the ALP-induced gamma-ray fluence observed at Earth is proportional to the fourth power of the ALP-photon coupling constant, making the constraint relatively insensitive to the rotational suppression of ALP emission.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper studies the impact of rotation on MeV-scale ALP constraints from SN 1987A by performing 2D core-collapse supernova simulations for 13, 14+9, and 18 solar-mass progenitors with initial core angular velocities Ω₀ = 0 and 1 rad s⁻¹. ALP emission rates are post-processed from the simulations, and constraints are derived using both a simplified instantaneous energy-loss argument and the gamma-ray fluence limit. Rotation is found to reduce core temperature via centrifugal support, suppressing ALP emission more than neutrino luminosity and thereby relaxing the energy-loss bounds, with the strongest effect in the rotating 18 M⊙ model near t_pb = 0.8–1 s. The gamma-ray constraint is essentially unchanged owing to its g_{aγ}^4 scaling. The manuscript explicitly notes the sensitivity of the derived bounds to evaluation time and progenitor model.
Significance. If the central result holds, the work shows that rotation can materially weaken supernova energy-loss bounds on ALP-photon couplings for massive progenitors, emphasizing the model dependence of such limits and the value of multidimensional simulations. The explicit 2D hydrodynamical runs with post-processing and the direct comparison between rotating and non-rotating cases provide a concrete numerical demonstration of the centrifugal temperature reduction effect.
major comments (2)
- [discussion of the 18 M⊙ progenitor results and the energy-loss criterion] The simplified instantaneous energy-loss criterion is applied at selected post-bounce times, yet the rotating 18 M⊙ model exhibits a substantial central-temperature drop at t_pb = 0.8–1 s. The manuscript itself states that the resulting constraints depend sensitively on both the evaluation time and the underlying supernova model. Because the reported relaxation rests on this time-dependent criterion rather than an integrated luminosity bound over the neutrino-cooling phase, the robustness of the relaxation claim requires additional justification (e.g., integration of the energy-loss rate or explicit checks at neighboring times).
- [methods and results sections on post-processing] ALP emission rates are obtained by post-processing 2D simulation snapshots. In the presence of rotation, three-dimensional effects (convective instabilities, non-axisymmetric flows) could alter the temperature and density profiles that enter the ALP production rate. While the 2D runs are a necessary first step, the central claim that rotation relaxes the bounds would be strengthened by a quantitative estimate of the possible 3D correction to the post-processed rates.
minor comments (1)
- [abstract and introduction] The abstract and main text refer to the ALP-photon coupling without an explicit symbol definition on first use; adding a brief parenthetical (e.g., g_{aγ}) would improve readability.
Simulated Author's Rebuttal
We thank the referee for their careful reading of the manuscript and for the constructive comments. We respond point-by-point to the major comments below, indicating where revisions will be made to strengthen the presentation.
read point-by-point responses
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Referee: The simplified instantaneous energy-loss criterion is applied at selected post-bounce times, yet the rotating 18 M⊙ model exhibits a substantial central-temperature drop at t_pb = 0.8–1 s. The manuscript itself states that the resulting constraints depend sensitively on both the evaluation time and the underlying supernova model. Because the reported relaxation rests on this time-dependent criterion rather than an integrated luminosity bound over the neutrino-cooling phase, the robustness of the relaxation claim requires additional justification (e.g., integration of the energy-loss rate or explicit checks at neighboring times).
Authors: We thank the referee for this observation. The instantaneous energy-loss criterion follows the standard methodology employed in the existing literature on supernova constraints for ALPs. The manuscript already notes the sensitivity of the bounds to evaluation time and progenitor model for the 18 M⊙ case. To address the request for additional justification, we will add to the revised manuscript explicit evaluations of the energy-loss bounds at neighboring post-bounce times (t_pb = 0.6 s, 0.7 s, 1.1 s, and 1.2 s) for the rotating and non-rotating 18 M⊙ models. These checks will show that the relaxation persists across a temporal window around t_pb ≈ 0.8–1 s. A full integration of the energy-loss rate over the entire neutrino-cooling phase is not performed in the current post-processing setup, as it would require continuous tracking of ALP emission; however, the instantaneous approach at the relevant epoch suffices to demonstrate the centrifugal suppression effect. revision: yes
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Referee: ALP emission rates are obtained by post-processing 2D simulation snapshots. In the presence of rotation, three-dimensional effects (convective instabilities, non-axisymmetric flows) could alter the temperature and density profiles that enter the ALP production rate. While the 2D runs are a necessary first step, the central claim that rotation relaxes the bounds would be strengthened by a quantitative estimate of the possible 3D correction to the post-processed rates.
Authors: We agree that three-dimensional effects could influence the temperature and density profiles in rotating models through enhanced convection or non-axisymmetric flows. Our 2D simulations constitute a necessary and computationally tractable first exploration of rotation's impact. A quantitative estimate of 3D corrections would require performing full 3D rotating core-collapse simulations, which lies beyond the scope and resources of the present work. In the revised manuscript we will expand the discussion section to qualitatively address possible 3D corrections, noting that additional mixing in 3D could further lower core temperatures and potentially strengthen the relaxation, while also highlighting the associated uncertainties. This will place our 2D results in proper context without overstating their generality. revision: partial
- Quantitative estimate of 3D corrections to the post-processed ALP emission rates
Circularity Check
No significant circularity; derivation is self-contained
full rationale
The paper derives ALP constraints from explicit 2D hydrodynamical simulations (with chosen initial Ω₀ = 0 or 1 rad s⁻¹ as inputs) followed by post-processing of standard ALP emission rates and direct application of the conventional SN1987A energy-loss and gamma-ray fluence criteria. No parameter is fitted to the target ALP bounds, no prediction is renamed from a fit, and no load-bearing step reduces to a self-citation or self-definition. The authors themselves flag the sensitivity of the simplified instantaneous energy-loss criterion to evaluation time, which is an acknowledged limitation rather than a hidden circularity. The central claim (rotation-induced temperature drop relaxes the bound more than the neutrino luminosity) follows from the numerical results and established particle-physics formulas without circular reduction.
Axiom & Free-Parameter Ledger
free parameters (1)
- initial angular velocity Omega_0 =
1.0 rad s^{-1}
axioms (2)
- domain assumption ALP emission rates can be computed from post-processed temperature and density profiles using standard formulas
- ad hoc to paper The simplified energy-loss criterion remains a valid proxy for constraint strength even when core temperature changes rapidly
Reference graph
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discussion (0)
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