arxiv: 2604.20950 · v1 · submitted 2026-04-22 · 🌌 astro-ph.GA · astro-ph.HE

Recognition: unknown

Revisiting radio synchrotron diagnostics in star-forming galaxies

Maria Werhahn , Christoph Pfrommer , Philipp Girichidis , Joseph Whittingham , L\'ena Jlassi , R\"udiger Pakmor , Rebekka Bieri , Rainer Weinberger

show 2 more authors

Volker Springel Freeke van de Voort

Authors on Pith no claims yet

Pith reviewed 2026-05-09 23:41 UTC · model grok-4.3

classification 🌌 astro-ph.GA astro-ph.HE

keywords cosmic ray electronsradio synchrotrongalactic windsadvection transportstar-forming galaxiesspectral indexbremsstrahlungCoulomb losses

0 comments

The pith

Advection in self-consistently driven galactic winds fails to reproduce the extended vertical radio intensity profiles observed in edge-on galaxies.

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

The paper models cosmic ray electron evolution in a simulation of a Milky Way-mass galaxy to test common assumptions in radio diagnostics. It establishes that advection-only transport cannot account for the extended radio halos because the gradual acceleration of winds leaves electrons in high-loss regions for too long. This holds even though the observed steepening of spectral indices with height is reproduced. The resulting radio emission is biased to young electrons in dense regions, leading to spectra that differ from the galaxy-integrated electron spectra, and bremsstrahlung and Coulomb losses cannot be neglected.

Core claim

We model radio emission by evolving cosmic ray electron spectra self-consistently along Lagrangian tracer particles in a magnetohydrodynamical simulation of an isolated Milky Way-mass galaxy. This includes injection at supernova remnants, advection with the gas, and spatially and temporally varying radiative losses. Advection-only transport in the self-consistently driven galactic winds fails to reproduce the extended vertical radio intensity profiles observed in edge-on galaxies, despite reproducing the observed steepening of spectral indices with height. This failure occurs because slowly accelerating winds keep electrons in strong cooling environments for too long. Matching the observeded

What carries the argument

Self-consistent time-dependent evolution of cosmic ray electron spectra along Lagrangian tracers in an MHD simulation of a galaxy, incorporating injection, advection, and varying losses.

Load-bearing premise

The MHD simulation accurately captures the spatially and temporally varying wind acceleration, magnetic field structure, and CR electron injection and loss processes without missing key physics.

What would settle it

Radio observations of edge-on galaxies showing extended intensity profiles at heights where the measured wind speed is too low to allow electrons to reach those distances before cooling under the simulated conditions.

Figures

Figures reproduced from arXiv: 2604.20950 by Christoph Pfrommer, Freeke van de Voort, Joseph Whittingham, L\'ena Jlassi, Maria Werhahn, Philipp Girichidis, Rainer Weinberger, Rebekka Bieri, R\"udiger Pakmor, Volker Springel.

**Figure 1.** Figure 1: presents face-on and edge-on radio intensity and spectral index maps at 𝑡 = 1 Gyr for the two modelling approaches considered in this work. This snapshot is representative of the global radio morphology throughout the evolution of the simulated galaxy. We note that the two post-processing models are based on the same underlying simulation and therefore the hydrodynamical quantities, such as the CR proton e… view at source ↗

**Figure 2.** Figure 2: Time evolution of the global edge-on radio synchrotron spectrum (top) and the corresponding spectral index as a function of frequency (bottom; defined as 𝐿𝜈 ∝ 𝜈 −𝛼) between 𝑡 = 1 and 3 Gyr, for the time-dependent modelling with Crest as well as the steady-state model obtained with Crayon+. The spectra are renormalised to the observed data of NGC 891 (Schmidt et al. 2019) at 1.5 GHz but are consistent with … view at source ↗

**Figure 4.** Figure 4: Mass-weighted vertical velocity profile within 𝑅 < 1 kpc below the galactic midplane at 𝑡 = 2 Gyr from the simulation (dark blue; for other simulation times, see Fig. B1). The solid lines indicate the median velocities, with shaded regions showing the 16th–84th percentile ranges. The simulated winds accelerate slowly, reaching velocities of order ∼200 km s−1 only at heights of several kiloparsecs. For comp… view at source ↗

**Figure 5.** Figure 5: Environmental conditions experienced by a tracer particle as it is advected vertically from the disc (𝑧 = 0) to a height of 𝑧 = 4 kpc. From top to bottom, we show the magnetic field strength, gas density, photon energy density (in units of the CMB energy density), and the cooling timescale evaluated at the characteristic electron momentum emitting GHz synchrotron radiation. In the lower panel, the shaded r… view at source ↗

**Figure 6.** Figure 6: Time evolution of CR electron spectra along tracer trajectories assuming either a simulation-like, slowly accelerating vertical velocity profile (left-hand panels) or a linear velocity profile (right-hand panels), which starts with a large velocity in the midplane (see dashed blue line in [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗

**Figure 7.** Figure 7: Galaxy-integrated CR electron spectra (left panels) and the corresponding radio synchrotron spectra (right panels) at 𝑡 = 1 Gyr for different modelling approaches, comparing time-dependent modelling with Crest to steady-state modelling with Crayon+, shown both with diffusion (dotted lines) and without diffusion (dashed lines). The latter are rescaled by a factor of 1.2 to facilitate a direct comparison of … view at source ↗

**Figure 8.** Figure 8: Age-resolved contributions to the radio synchrotron emission in the Crest model at 𝑡 = 1 Gyr. Left: Decomposition of the galaxy-integrated synchrotron spectrum (black) into contributions from CR electrons binned by the time since their last injection event, 𝑡inj (colour-coded). At frequencies ≲ 1 GHz, the emission is dominated by electrons injected 106–107 yr ago, while at higher frequencies the youngest e… view at source ↗

**Figure 9.** Figure 9: Spatial distribution and local environments of CR electron tracer particles in the Crest model at 𝑡 = 1 Gyr. Left: Face-on positions of tracer particles within the disc (|𝑧 | < 1 kpc), colour-coded by the time since their last injection event 𝑡inj (older tracers are plotted first, with younger tracers overlaid to highlight recent injection sites). Young electrons remain concentrated near their SN injection… view at source ↗

**Figure 10.** Figure 10: Spatially resolved electron cooling properties at 𝑡 = 1 Gyr, derived from slices of the relevant gas properties. First panel: Cooling timescale of 1 GeV electrons (including synchrotron, IC, bremsstrahlung and Coulomb losses). Second panel: Cooling timescale evaluated at the electron momentum that emits synchrotron radiation at 1.4 GHz, given the local magnetic field strength. Third panel: Corresponding c… view at source ↗

**Figure 11.** Figure 11: Normalised radio continuum spectra of NGC 891 viewed edge-on, comparing the Crest (solid lines) and steady-state (dashed lines) models at 𝑡 = 1 Gyr. The spectra are normalised to the observed total flux density at 1.5 GHz (Schmidt et al. 2019) by factors of 0.8 (steady-state) and 1.5 (Crest). Top panel: Total luminosity spectrum as a function of frequency. The unabsorbed synchrotron emission (green) is sh… view at source ↗

read the original abstract

Radio continuum observations are widely used to study cosmic ray (CR) electron populations and transport processes in star-forming galaxies, but their interpretation relies on several simplifying assumptions. Here, we revisit three common assumptions: that some vertical radio profiles can be explained by CR advection alone, that radio spectra directly trace the galaxy-wide CR electron spectrum, and that bremsstrahlung and Coulomb losses are negligible for radio-emitting electrons. We model radio emission using time-dependent CR electron evolution in a magnetohydrodynamical simulation of an isolated Milky Way-mass galaxy. CR electron spectra are evolved self-consistently along Lagrangian tracer particles with the CREST framework, including injection at supernova remnants, advection with the gas, and spatially and temporally varying radiative losses. We compare these results to commonly adopted steady-state models. We find that advection-only transport in self-consistently driven galactic winds fails to reproduce the extended vertical radio intensity profiles observed in edge-on galaxies, despite reproducing the observed steepening of spectral indices with height. This is because slowly accelerating winds keep electrons in strong cooling environments for too long. Matching observed radio haloes with advection alone requires unrealistically high midplane wind velocities, implying that additional transport or re-acceleration processes are required. Although galaxy-integrated CR electron spectra at radio-emitting energies are similar across models, the resulting synchrotron spectra differ systematically because radio emission is biased toward young electrons in dense, strongly magnetised regions. Finally, we show that bremsstrahlung and Coulomb losses significantly shape radio spectra even when their loss rate is subdominant and therefore cannot be neglected.

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

Advection-only transport fails to match observed radio halos in this sim because winds accelerate too slowly, keeping electrons in cooling zones, while radio emission biases to young electrons and subdominant losses matter.

read the letter

The main thing to know is that in their MHD simulation of an isolated Milky Way-mass galaxy, pure advection with the self-consistently driven wind cannot reproduce the extended vertical radio intensity profiles seen in edge-on galaxies. The wind ramps up too gradually, so electrons spend too long in the dense, strongly magnetized midplane and cool before reaching observed heights. Matching the data with advection alone would require unrealistically high midplane velocities, which implies extra transport or re-acceleration is needed. They also show that galaxy-integrated CR electron spectra look similar across models, yet the synchrotron spectra differ because emission favors young electrons in dense regions, and that bremsstrahlung and Coulomb losses shape the radio spectra even when subdominant to synchrotron and inverse Compton losses. This comes from evolving time-dependent CR electron spectra along Lagrangian tracer particles with the CREST framework, including supernova injection and spatially varying losses, then comparing to steady-state assumptions. That direct numerical test of the three common simplifications is the clearest advance over prior analytic or steady-state work. The modeling is solid on its own terms and the questions are relevant for interpreting radio data. The soft spot is that the central advection failure rests on the specific wind acceleration profile from this one run. The simulation lacks explicit CR pressure feedback and resolved supernova clustering, so if real galaxies or other setups accelerate winds faster, the cooling-time problem shrinks and the required velocity threshold moves. They do not show variations in feedback, resolution, or driving mechanism to test how robust that profile is. The abstract also gives no quantitative error bars or exact fit metrics to observations, and details on the synchrotron post-processing are thin. This is for people who model cosmic-ray transport in galaxies or use radio continuum to infer wind properties. A reader focused on numerical galaxy simulations or radio diagnostics will get value from seeing the assumptions tested in a more complete setup. It deserves a serious referee because the numerical approach engages the literature honestly and the findings challenge standard practice, even if revisions for generality and quantitative detail are likely needed. I would send it to peer review.

Referee Report

2 major / 2 minor

Summary. The manuscript models radio synchrotron emission from cosmic ray electrons evolved self-consistently along Lagrangian tracers in an MHD simulation of an isolated Milky Way-mass galaxy using the CREST framework. It concludes that advection-only transport in self-consistently driven galactic winds cannot reproduce the extended vertical radio intensity profiles seen in edge-on galaxies (despite matching the observed spectral index steepening with height) because slowly accelerating winds keep electrons in strong cooling regions too long; matching observations requires unrealistically high midplane velocities. It further finds that galaxy-integrated CR electron spectra are similar across models but synchrotron spectra differ due to bias toward young electrons in dense, magnetized regions, and that bremsstrahlung and Coulomb losses shape radio spectra even when subdominant.

Significance. If the central results hold, the work is significant because it uses time-dependent, spatially varying losses and injection in a simulation to challenge three common simplifying assumptions in radio diagnostics of star-forming galaxies. The demonstration that pure advection fails for realistic wind profiles, combined with the emission bias finding, implies that additional transport or re-acceleration mechanisms are needed and that steady-state interpretations may be systematically biased. The Lagrangian tracer approach with full loss physics is a methodological strength that allows direct comparison to observations.

major comments (2)

[Results on advection transport] Results section on vertical radio profiles: the conclusion that advection-only transport requires unrealistically high midplane wind velocities follows directly from the specific acceleration profile and time electrons spend in the dense midplane in this single MHD run. Without additional simulations varying the feedback prescription, resolution, or inclusion of CR pressure feedback to test robustness of the slow-acceleration regime, the claim that advection fails generally (and thus that extra processes are required) is not fully load-bearing.
[Abstract and §4] Abstract and comparison to observations: no quantitative metrics (e.g., reduced chi-squared, fractional residuals, or exact intensity profile match values with uncertainties) are provided for how severely the advection model fails to reproduce observed edge-on radio halos, weakening the ability to assess the claimed mismatch.

minor comments (2)

[Abstract and Methods] The CREST framework is referenced without a brief description or citation in the abstract or early methods; adding this would improve accessibility.
[Figures] Figure captions for vertical profiles should explicitly state whether observational data points include error bars and how the model profiles were normalized for comparison.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their positive assessment of the significance of our work and for the constructive major comments. We address each point below and propose revisions to strengthen the manuscript. Our responses aim to clarify the scope of our conclusions while maintaining the integrity of the presented results.

read point-by-point responses

Referee: Results section on vertical radio profiles: the conclusion that advection-only transport requires unrealistically high midplane wind velocities follows directly from the specific acceleration profile and time electrons spend in the dense midplane in this single MHD run. Without additional simulations varying the feedback prescription, resolution, or inclusion of CR pressure feedback to test robustness of the slow-acceleration regime, the claim that advection fails generally (and thus that extra processes are required) is not fully load-bearing.

Authors: We acknowledge that our analysis is based on a single MHD simulation of an isolated Milky Way-mass galaxy. The slow wind acceleration is indeed a feature of this particular setup, driven by supernova feedback without cosmic ray pressure. We will revise the manuscript to emphasize that our conclusions apply to advection in winds with this acceleration profile, which is typical in many non-CR-feedback simulations. We will add references to other works showing similar wind structures and include a discussion on how CR pressure feedback might change the results. This addresses the concern about generality without requiring new simulations at this stage. We believe the core point that pure advection struggles with realistic wind profiles holds, but we will adjust the language to avoid overgeneralization. revision: partial
Referee: Abstract and §4: no quantitative metrics (e.g., reduced chi-squared, fractional residuals, or exact intensity profile match values with uncertainties) are provided for how severely the advection model fails to reproduce observed edge-on radio halos, weakening the ability to assess the claimed mismatch.

Authors: We agree that quantitative metrics would improve the comparison. In the revised manuscript, we will add specific metrics in §4, such as the exponential scale heights of the radio intensity profiles for our models compared to observed values from edge-on galaxies (e.g., from the CHANG-ES survey or similar studies). We will also report the height where the intensity falls to a certain fraction of the midplane value and discuss the residuals. These will be included with references to the observational data. The abstract will be updated to reflect these quantitative aspects if feasible within the word limit. revision: yes

Circularity Check

0 steps flagged

No significant circularity; results from direct numerical evolution

full rationale

The paper evolves CR electron spectra self-consistently along Lagrangian tracers in an MHD simulation of an isolated galaxy using the CREST framework, incorporating injection, advection, and spatially varying losses. The central claim that advection-only transport fails to match extended radio halos follows from the simulated wind acceleration timescales and resulting cooling durations, which are outputs of the MHD run rather than inputs defined by the radio data or by construction. Comparisons to steady-state models and observations are explicit forward predictions without parameter fitting to the target profiles or spectra. No load-bearing self-citation reduces the derivation to prior author work; the numerical integration supplies independent content. The conclusion that additional transport or re-acceleration is needed is therefore not tautological.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The model rests on standard assumptions about supernova injection of CR electrons and MHD gas dynamics without introducing new fitted free parameters to match the radio data; conclusions arise from discrepancies rather than tuning.

axioms (2)

domain assumption Cosmic ray electrons are injected at supernova remnants with a power-law spectrum
Invoked as the source term in the time-dependent evolution along tracers.
domain assumption Radiative losses (synchrotron, inverse Compton, bremsstrahlung, Coulomb) vary spatially and temporally with local gas density and magnetic field
Core of the CREST framework used to evolve spectra.

pith-pipeline@v0.9.0 · 5621 in / 1568 out tokens · 72365 ms · 2026-05-09T23:41:47.019761+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

299 extracted references · 265 canonical work pages · 5 internal anchors

[1]

arXiv e-prints , keywords =

Robust magnetic field estimates in star-forming galaxies with the equipartition formula in the absence of equipartition. arXiv e-prints , keywords =. doi:10.48550/arXiv.2510.03229 , archivePrefix =. 2510.03229 , primaryClass =

work page doi:10.48550/arxiv.2510.03229
[2]

arXiv e-prints , keywords =

Simulating cosmic ray electron spectra and radio emission from an AGN jet outburst in a cool-core cluster. arXiv e-prints , keywords =. doi:10.48550/arXiv.2601.10787 , archivePrefix =. 2601.10787 , primaryClass =

work page doi:10.48550/arxiv.2601.10787
[3]

How density fluctuations explain the Mach number discrepancy, microgauss magnetic fields, and spectral index variations

Zooming in on cluster radio relics: I. How density fluctuations explain the Mach number discrepancy, microgauss magnetic fields, and spectral index variations. , keywords =. doi:10.1051/0004-6361/202453002 , archivePrefix =. 2411.11947 , primaryClass =

work page doi:10.1051/0004-6361/202453002
[4]

Zooming in on radio relics -- II. How relic morphology probes density fluctuations at the edge of galaxy clusters

Zooming in on radio relics -- II. How relic morphology probes density fluctuations at the edge of galaxy clusters. arXiv e-prints , keywords =. doi:10.48550/arXiv.2604.06302 , archivePrefix =. 2604.06302 , primaryClass =

work page internal anchor Pith review Pith/arXiv arXiv doi:10.48550/arxiv.2604.06302
[5]

Electron and proton spectra compared to Voyager-1 data

Cosmic rays and non-thermal emission in simulated galaxies - I. Electron and proton spectra compared to Voyager-1 data. , keywords =. doi:10.1093/mnras/stab1324 , archivePrefix =. 2105.10509 , primaryClass =

work page doi:10.1093/mnras/stab1324
[6]

-ray maps, spectra, and the far-infrared- -ray relation

Cosmic rays and non-thermal emission in simulated galaxies - II. -ray maps, spectra, and the far-infrared- -ray relation. , keywords =. doi:10.1093/mnras/stab1325 , archivePrefix =. 2105.11463 , primaryClass =

work page doi:10.1093/mnras/stab1325
[7]

Probing cosmic-ray calorimetry with radio spectra and the FIR-radio correlation

Cosmic rays and non-thermal emission in simulated galaxies - III. Probing cosmic-ray calorimetry with radio spectra and the FIR-radio correlation. , keywords =. doi:10.1093/mnras/stab2535 , archivePrefix =. 2105.12134 , primaryClass =

work page doi:10.1093/mnras/stab2535
[8]

, keywords =

Simulating radio synchrotron emission in star-forming galaxies: small-scale magnetic dynamo and the origin of the far-infrared-radio correlation. , keywords =. doi:10.1093/mnras/stac1808 , archivePrefix =. 2105.12132 , primaryClass =

work page doi:10.1093/mnras/stac1808
[9]

, keywords =

Rüdiger Pakmor and Federico Marinacci and Volker Springel , title =. The Astrophysical Journal Letters , abstract =. 2014 , month =. doi:10.1088/2041-8205/783/1/L20 , url =

work page doi:10.1088/2041-8205/783/1/l20 2014
[10]

, keywords =

Magnetic field formation in the Milky Way like disc galaxies of the Auriga project. , keywords =. doi:10.1093/mnras/stx1074 , archivePrefix =. 1701.07028 , primaryClass =

work page doi:10.1093/mnras/stx1074
[11]

, keywords =

Faraday rotation maps of disc galaxies. , keywords =. doi:10.1093/mnras/sty2601 , archivePrefix =. 1807.02113 , primaryClass =

work page doi:10.1093/mnras/sty2601
[12]

, keywords =

Magnetizing the circumgalactic medium of disc galaxies. , keywords =. doi:10.1093/mnras/staa2530 , archivePrefix =. 1911.11163 , primaryClass =

work page doi:10.1093/mnras/staa2530 1911
[13]

, keywords =

The correlation between radio and far-infrared emission for disk galaxies : a calorimeter theory. , keywords =
[14]

Simulations of Ion Acceleration at Non-relativistic Shocks. I. Acceleration Efficiency. , keywords =. doi:10.1088/0004-637X/783/2/91 , archivePrefix =. 1310.2943 , primaryClass =

work page doi:10.1088/0004-637x/783/2/91
[15]

, keywords =

The effect of cosmic ray acceleration on supernova blast wave dynamics. , keywords =. doi:10.1093/mnras/sty1410 , archivePrefix =. 1805.00128 , primaryClass =

work page doi:10.1093/mnras/sty1410
[16]

, keywords =

Constraining the coherence scale of the interstellar magnetic field using TeV gamma-ray observations of supernova remnants. , keywords =. doi:10.1093/mnras/staa1678 , archivePrefix =. 1805.03216 , primaryClass =

work page doi:10.1093/mnras/staa1678
[17]

, keywords =

Simulating TeV gamma-ray morphologies of shell-type supernova remnants. , keywords =. doi:10.1093/mnras/staa2827 , archivePrefix =. 2009.06649 , primaryClass =

work page doi:10.1093/mnras/staa2827 2009
[18]

2020, MNRAS, 499, 2785, doi: 10.1093/mnras/staa2989

Evolution and observational signatures of the cosmic ray electron spectrum in SN 1006. , keywords =. doi:10.1093/mnras/staa2989 , archivePrefix =. 2006.06683 , primaryClass =

work page doi:10.1093/mnras/staa2989 2006
[19]

, keywords =

Evolution of cosmic ray electron spectra in magnetohydrodynamical simulations. , keywords =. doi:10.1093/mnras/stz1792 , archivePrefix =. 1903.01467 , primaryClass =

work page doi:10.1093/mnras/stz1792 1903
[20]

doi:10.1086/504035 , Eprint =

, Keywords =. doi:10.1086/504035 , Eprint =

work page doi:10.1086/504035
[21]

, keywords =

The Starburst Contribution to the Extragalactic -Ray Background. , keywords =. doi:10.1086/509068 , archivePrefix =. astro-ph/0606665 , primaryClass =

work page doi:10.1086/509068
[22]

doi:10.1086/321557 , Eprint =

, Keywords =. doi:10.1086/321557 , Eprint =

work page doi:10.1086/321557
[23]

arXiv , Author =:1004.3540 , Journal =

doi:10.1088/0004-637X/730/1/22 , Eid =. arXiv , Author =:1004.3540 , Journal =

work page doi:10.1088/0004-637x/730/1/22
[24]

doi:10.1051/0004-6361:20065294 , eprint =

, Keywords =. doi:10.1051/0004-6361:20065294 , Eprint =

work page doi:10.1051/0004-6361:20065294
[25]

Cosmic rays and particle physics
[26]

II - Spectra

Binary collision rates of relativistic thermal plasmas. II - Spectra. ApJ , keywords =. doi:10.1086/164391 , adsurl =

work page doi:10.1086/164391
[27]

, keywords =

Production spectrum of gamma rays in interstellar space through neutral pion decay. , keywords =. doi:10.1007/BF00651256 , adsurl =

work page doi:10.1007/bf00651256
[28]

doi:10.1086/305152 , eprint =

ApJ , year =. doi:10.1086/305152 , eprint =

work page doi:10.1086/305152
[29]

, keywords =

Secondary production of neutral pi-mesons and the diffuse galactic gamma radiation. , keywords =
[30]

, keywords =

Constraining the population of cosmic ray protons in cooling flow clusters with -ray and radio observations: Are radio mini-halos of hadronic origin?. , keywords =. doi:10.1051/0004-6361:20031464 , adsurl =

work page doi:10.1051/0004-6361:20031464
[31]

, keywords =

On the diffuse gamma radiation at ultra-high energies, E(gamma) greater than about 10 to the 14th eV. , keywords =. doi:10.1086/168348 , adsurl =

work page doi:10.1086/168348
[32]

NASA Special Publication , keywords =

Cosmic gamma rays. NASA Special Publication , keywords =
[33]

, keywords =

Analytic representation of the proton-proton and proton-nucleus cross-sections and its application to the sea-level spectrum and charge ratio of muons. , keywords =. doi:10.1103/PhysRevD.15.820 , adsurl =

work page doi:10.1103/physrevd.15.820
[34]

, year = 1970, month = mar, volume = 6, pages =

The Cosmic -Ray Spectrum from Secondary Particle Production in Cosmic-Ray Interactions. , year = 1970, month = mar, volume = 6, pages =. doi:10.1007/BF00653856 , adsurl =

work page doi:10.1007/bf00653856 1970
[35]

, eprint =

Parametrizations of inclusive cross sections for pion production in proton-proton collisions. , eprint =. doi:10.1103/PhysRevD.62.094030 , adsurl =

work page doi:10.1103/physrevd.62.094030
[36]

, eprint =

Parameterization of , e ^ +/- , and Neutrino Spectra Produced by p-p Interaction in Astronomical Environments. , eprint =. doi:10.1086/505189 , adsurl =

work page doi:10.1086/505189
[37]

, eprint =

Diffractive Interaction and Scaling Violation in pp-- ^ 0 Interaction and GeV Excess in Galactic Diffuse Gamma-Ray Spectrum of EGRET. , eprint =. doi:10.1086/426935 , adsurl =

work page doi:10.1086/426935
[38]

R., Aharonian, F

Energy spectra of gamma rays, electrons, and neutrinos produced at proton-proton interactions in the very high energy regime. , eprint =. doi:10.1103/PhysRevD.74.034018 , adsurl =

work page doi:10.1103/physrevd.74.034018
[39]

ArXiv e-prints , archivePrefix = "arXiv", eprint =

On the shape of the gamma-ray spectrum around the `` ^0 -bump''. ArXiv e-prints , archivePrefix = "arXiv", eprint =
[40]

, keywords =

Exploring the shape of the -ray spectrum around the `` ^ 0 -bump''. , keywords =. doi:10.1051/0004-6361/201730908 , archivePrefix =. 1803.05072 , primaryClass =

work page doi:10.1051/0004-6361/201730908
[41]

M., & Vila, G

Parametrization of gamma-ray production cross sections for p p interactions in a broad proton energy range from the kinematic threshold to PeV energies. , archivePrefix = "arXiv", eprint =. doi:10.1103/PhysRevD.90.123014 , adsurl =

work page doi:10.1103/physrevd.90.123014
[42]

, archivePrefix = "arXiv", eprint =

Parametrization of the nucleus-nucleus -ray production cross sections below 100 GeV/nucleon: Subthreshold pions and hard photons. , archivePrefix = "arXiv", eprint =. doi:10.1103/PhysRevC.94.064603 , adsurl =

work page doi:10.1103/physrevc.94.064603
[43]

Pys. Rev. D , year =. arXiv , doi =:1006.1045 , keywords =

work page arXiv
[44]

, eprint =

Broad-band diffuse gamma ray emission of the galactic disk. , eprint =
[45]

Physical Review , year = 1968, month = mar, volume = 167, pages =

Calculated Spectrum of Inverse-Compton-Scattered Photons. Physical Review , year = 1968, month = mar, volume = 167, pages =. doi:10.1103/PhysRev.167.1159 , adsurl =

work page doi:10.1103/physrev.167.1159 1968
[46]

R., & Gould, R

Bremsstrahlung, Synchrotron Radiation, and Compton Scattering of High-Energy Electrons Traversing Dilute Gases. Reviews of Modern Physics , year = 1970, volume = 42, pages =. doi:10.1103/RevModPhys.42.237 , adsurl =

work page doi:10.1103/revmodphys.42.237 1970
[47]

, archivePrefix = "arXiv", eprint =

Radio synchrotron emission from secondary electrons in interaction-powered supernovae. , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stw920 , adsurl =

work page doi:10.1093/mnras/stw920
[48]

Radiative Processes in Astrophysics, by George B

Radiative Processes in Astrophysics. Radiative Processes in Astrophysics, by George B. Rybicki, Alan P. Lightman, pp. 400. ISBN 0-471-82759-2. Wiley-VCH , June 1986. , year = 1986, month = jun, adsurl =

1986
[49]

International Journal of Modern Physics A , archivePrefix = "arXiv", eprint =

Relativistic Non-Thermal Bremsstrahlung Radiation. International Journal of Modern Physics A , archivePrefix = "arXiv", eprint =. doi:10.1142/S0217751X13501418 , adsurl =

work page doi:10.1142/s0217751x13501418
[50]

, keywords =

On the use of nonrelativistic bremsstrahlung cross sections in astrophysics. , keywords =
[51]

Reviews of Modern Physics , year = 1959, month = oct, volume = 31, pages =

Bremsstrahlung Cross-Section Formulas and Related Data. Reviews of Modern Physics , year = 1959, month = oct, volume = 31, pages =. doi:10.1103/RevModPhys.31.920 , adsurl =

work page doi:10.1103/revmodphys.31.920 1959
[52]

1934, Proceedings of the Royal Society of London Series A, 146, 83, doi: 10.1098/rspa.1934.0140

On the Stopping of Fast Particles and on the Creation of Positive Electrons. Proceedings of the Royal Society of London Series A , year = 1934, month = aug, volume = 146, pages =. doi:10.1098/rspa.1934.0140 , adsurl =

work page doi:10.1098/rspa.1934.0140 1934
[53]

, archivePrefix = "arXiv", eprint =

Strong evidence for hadron acceleration in Tycho's supernova remnant. , archivePrefix = "arXiv", eprint =. doi:10.1051/0004-6361/201117855 , adsurl =

work page doi:10.1051/0004-6361/201117855
[54]

2008b, Nature, 456, 617, doi: 10.1038/nature07608

Tycho Brahe's 1572 supernova as a standard typeIa as revealed by its light-echo spectrum. , archivePrefix = "arXiv", eprint =. doi:10.1038/nature07608 , adsurl =

work page doi:10.1038/nature07608
[55]

, keywords =

Evolution of Nonradiative Supernova Remnants. , keywords =. doi:10.1086/313176 , adsurl =

work page doi:10.1086/313176
[56]

, keywords =

Electron acceleration in Tycho's and Kepler's supernova remnants - Spectral evidence of Fermi shock acceleration. , keywords =. doi:10.1086/186610 , adsurl =

work page doi:10.1086/186610
[57]

, archivePrefix = "arXiv", eprint =

Fermi Large Area Telescope Detection of the Young Supernova Remnant Tycho. , archivePrefix = "arXiv", eprint =. doi:10.1088/2041-8205/744/1/L2 , adsurl =

work page doi:10.1088/2041-8205/744/1/l2 2041
[58]

, archivePrefix = "arXiv", eprint =

Discovery of TeV Gamma-ray Emission from Tycho's Supernova Remnant. , archivePrefix = "arXiv", eprint =. doi:10.1088/2041-8205/730/2/L20 , adsurl =

work page doi:10.1088/2041-8205/730/2/l20 2041
[59]

, keywords =

Radio to Gamma-Ray Emission from Shell-Type Supernova Remnants: Predictions from Nonlinear Shock Acceleration Models. , eprint =. doi:10.1086/306829 , adsurl =

work page doi:10.1086/306829
[60]

, keywords =

Contribution of electron-electron bremsstrahlung to solar hard X-radiation during flares. , keywords =. doi:10.1007/BF00158461 , adsurl =

work page doi:10.1007/bf00158461
[61]

Zeitschrift Naturforschung Teil A , keywords =

Bremsstrahlung and pair production in the field of free electrons. Zeitschrift Naturforschung Teil A , keywords =. doi:10.1515/zna-1975-0901 , adsurl =

work page doi:10.1515/zna-1975-0901 1975
[62]

Electron-Electron Bremsstrahlung from a Quantum Plasma ( Z=1 ) , author =. Phys. Rev. , volume =. 1967 , month =. doi:10.1103/PhysRev.163.156 , url =

work page doi:10.1103/physrev.163.156 1967
[63]

Soviet Phys

Photon Bremsstrahlung in collision of high-energy electrons , author=. Soviet Phys. JETP , volume =. 1967 , month =

1967
[64]

High Energy Astrophysics, by Malcolm S

High Energy Astrophysics. High Energy Astrophysics, by Malcolm S. Longair, Cambridge, UK: Cambridge University Press, 2011 , year = 2011, month = feb, adsurl =

2011
[65]

1999 , series =

Classical electrodynamics , author =. 1999 , series =

1999
[66]

, year = 1959, month = jul, volume = 130, pages =

The Polarization of Synchrotron Radiation. , year = 1959, month = jul, volume = 130, pages =. doi:10.1086/146713 , adsurl =

work page doi:10.1086/146713 1959
[67]

The Origin of Cosmic Rays, New York: Macmillan, 1964 , publisher =

The Origin of Cosmic Rays. The Origin of Cosmic Rays, New York: Macmillan, 1964 , publisher =

1964
[68]

doi:10.1002/andp.19394260206 , url =

Verschaerfte Berechnung von Intensitaet und Polarisation im kontinuierlichen Roentgenspektrum , journal =. doi:10.1002/andp.19394260206 , url =

work page doi:10.1002/andp.19394260206
[69]

International Series of Monographs on Physics, Oxford: Clarendon, 1954, 3rd ed

Quantum theory of radiation. International Series of Monographs on Physics, Oxford: Clarendon, 1954, 3rd ed. , publisher =

1954
[70]

Physics of Atomic Nuclei , year = 2001, month = oct, volume = 64, pages =

Koba-Nielsen-Olesen Scaling in Isospin-Coupled Reactions. Physics of Atomic Nuclei , year = 2001, month = oct, volume = 64, pages =. doi:10.1134/1.1414933 , adsurl =

work page doi:10.1134/1.1414933 2001
[71]

Review of Particle Physics , author =. Phys. Rev. D , volume =. 2012 , month =. doi:10.1103/PhysRevD.86.010001 , url =

work page doi:10.1103/physrevd.86.010001 2012
[72]

, eprint =

Interactions of cosmic ray nuclei. , eprint =
[73]

Computer Physics Communications , eprint =

COSMOCR: A numerical code for cosmic ray studies in computational cosmology. Computer Physics Communications , eprint =. doi:10.1016/S0010-4655(01)00293-4 , adsurl =

work page doi:10.1016/s0010-4655(01)00293-4
[74]

, archivePrefix = "arXiv", eprint =

Simulating cosmic ray physics on a moving mesh. , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stw2941 , adsurl =

work page doi:10.1093/mnras/stw2941
[75]

, archivePrefix = "arXiv", eprint =

Simulating Gamma-Ray Emission in Star-forming Galaxies. , archivePrefix = "arXiv", eprint =. doi:10.3847/2041-8213/aa8bb1 , adsurl =

work page doi:10.3847/2041-8213/aa8bb1 2041
[76]

doi:10.1111/j.1365-2966.2009.15598.x , archivePrefix =

E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh. , archivePrefix = "arXiv", eprint =. doi:10.1111/j.1365-2966.2009.15715.x , adsurl =

work page doi:10.1111/j.1365-2966.2009.15715.x 2009
[77]

, archivePrefix = "arXiv", eprint =

Improving the convergence properties of the moving-mesh code AREPO. , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stv2380 , adsurl =

work page doi:10.1093/mnras/stv2380
[78]

2001, MNRAS, 322, 231, doi: 10.1046/j.1365-8711.2001.04022.x

On the variation of the initial mass function. , eprint =. doi:10.1046/j.1365-8711.2001.04022.x , adsurl =

work page doi:10.1046/j.1365-8711.2001.04022.x 2001
[79]

R.J. Gould. Energy loss of fast electrons and positrons in a plasma. Physica. 1972. doi:https://doi.org/10.1016/0031-8914(72)90227-3

work page doi:10.1016/0031-8914(72)90227-3 1972
[80]

, archivePrefix = "arXiv", eprint =

Turbulence and particle acceleration in giant radio haloes: the origin of seed electrons. , archivePrefix = "arXiv", eprint =. doi:10.1093/mnras/stw3024 , adsurl =

work page doi:10.1093/mnras/stw3024

Showing first 80 references.