2507.07190v1
The Balmer Break and Optical Continuum of Little Red Dots from Super-Eddington Accretion
Digest
Semi-analytic atmospheres plus radiative-transfer show that super-Eddington flows can reproduce LRDs’ red rest-optical continua and Balmer breaks without dust or an external absorbing shell. A cool, low-density photosphere (ρ < 10^{-9} g cm^{-3}) creates a strong opacity jump at the Balmer limit, yielding a break even at T_eff ≈ 5000 K. Thin disks match the color only with a fine-tuned inner truncation giving T_eff ~ 5000 K, whereas a geometrically thick, quasi-spherical flow naturally produces T_eff ≈ 4000–6000 K largely insensitive to Ṁ (Hayashi-line-like). The resulting continua agree with current LRD spectra and motivate predictions for future super-Eddington simulations.
Key figures to inspect
- Figure 1: Use the cartoon to contrast the thin-disk-with-inner-truncation versus quasi-spherical inflow/outflow picture and identify where the photosphere forms; this frames why the spherical model avoids fine-tuning while still producing a Balmer break.
- Figure 2: Inspect the continuum-opacity ratio across the Balmer limit versus temperature and density; the low-density (≲10^{-9} g cm^{-3}), T_eff ~ 4–6 kK region where the ratio ≪ 1 explains strong breaks, with Vega/Sun markers highlighting why main-sequence stars differ.
- Figure 3: Follow the workflow linking analytical density profiles, opacity tables, and radiative transfer; this clarifies which assumptions set the photospheric T and ρ and how the break emerges self-consistently.
- Figure 4: Compare disk-model spectra as Rin and T_eff(Rin) (from Eq. 3) vary; note that only specific truncations reproduce the red slope and Balmer break, and check the overplot with RUBIES-UDS-31747 and a ~5000 K blackbody to see the fine-tuning requirement.