ADAF SED Modeler — Accretion Spectral Energy Distribution

Full RIAF/ADAF spectral energy distribution for a Bondi-fed IMBH: synchrotron, inverse Compton, and bremsstrahlung components across 10 orders of magnitude in frequency, overlaid against JWST NIRCam/MIRI, radio, and X-ray non-detection limits from the published ωCen IMBH constraint literature.

ADAF / RIAF JWST Non-detection Multi-messenger Accretion Physics

Source Parameters

IMBH mass M 8,200 M☉
1,00010,000100,000
Accretion rate ṁ = Ṁ/Ṁ_Edd 10⁻⁵
10⁻⁸10⁻⁵10⁻²
Radiative efficiency ε 10⁻³
10⁻⁵10⁻³0.1
Ambient density ρ∞ 10⁻²⁴ g/cm³
10⁻²⁶10⁻²³·⁵10⁻²¹

SED components
Synchrotron (radio → IR peak)
Inverse Compton (UV → X-ray)
Bremsstrahlung (soft X-ray)
Observational limits (5σ)
Radio 5 GHz: <50 μJy
JWST NIRCam: <10–20 μJy
JWST MIRI: <100 μJy
Chandra X-ray: <10⁻¹³ erg/s/cm²
Physics & citations

ADAF/RIAF (Advection-Dominated/Radiatively Inefficient Accretion Flow) applies when ṁ ≪ ṁ_crit ≈ 0.01 α². Most viscously dissipated energy is advected into the black hole rather than radiated, giving an effective luminosity L_bol = ε × ṁ × L_Edd where ε ≪ 0.1.

Synchrotron — thermal electrons in the ADAF magnetic field radiate from radio through mid-IR. The peak frequency scales as ν_peak ∝ M^(−1/2) × ṁ^(1/2), anchored to the SgrA* submm peak (350 GHz at M=4×10⁶ M☉, ṁ~10⁻⁵). For ωCen's ~8,200 M☉ IMBH, the synchrotron peaks in the 10–100 μm range — directly probed by JWST MIRI and Herschel, not by NIRCam. Below the self-absorption turnover (ν_t ≈ ν_peak/100) the spectrum rises as ν^2; above the peak it falls exponentially. The shape is ν^(1/3) in between (standard optically-thin synchrotron).

Inverse Compton — hot ADAF electrons (T_e ~ 10⁹–10¹⁰ K) Compton-scatter the synchrotron seed photons into the X-ray band. At very low ṁ, the Compton contribution is small (optical depth τ ≪ 1); it grows toward the thin-disk transition. Modelled as a power law L_ν ∝ ν^(1-Γ) with Γ = 1.7, cutting off at ~100 keV.

Bremsstrahlung — free-free emission from hot plasma. Flat from soft X-ray to the thermal cutoff at kT_e/h ≈ 430 keV (T_e=5×10⁹ K).

Bondi rateṀ_B = 4π G² M² ρ_∞ / c_s³ with c_s = 300 km/s (hot stellar-wind gas). The bar shows log₁₀(ṁ_Bondi / ṁ): positive means Bondi supply exceeds the input ṁ (plausible); negative means ṁ exceeds Bondi supply (implausible at this density).

⚠ Both mass bounds preserved: Häberle et al. 2024 (≥ 8,200 M☉, Nature 631:285) and Bañares-Hernández et al. 2025 (≤ 6,000 M☉, A&A 693:A104) are in unresolved tension. The dual dashed bounds appear on the mass slider position — do not collapse to a single value.
Narayan & Yi 1995, ApJ 452:710 (ADAF theory)
Mahadevan 1997, ApJ 477:585 (ADAF SED parametrization)
Yuan & Narayan 2014, ARA&A 52:529 (RIAF review)
Chen et al. 2025, arXiv:2511.20945 (JWST ωCen non-detection)
Häberle et al. 2024, Nature 631:285 (≥ 8,200 M☉)
Bañares-Hernández et al. 2025, A&A 693:A104 (≤ 6,000 M☉)
L_bol
L / L_Edd
ν_peak (syn)
λ_peak
Regime
Bondi supply at ρ∞ ṁ_Bondi = —

Full SED: ν L_ν vs frequency

NIR–MIR zoom (0.5–100 μm) — JWST window

Constraint verdict