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Radiative Transfer in Ly\alpha Nebulae: I. Modeling a Continuous or Clumpy Spherical Halo with a Central Source

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(2022)cite arxiv:2212.09630Comment: 42 pages, 27 figures, accepted for publication in ApJ, Comments welcome!.

Abstract

To understand the mechanism behind high-$z$ Ly$\alpha$ nebulae, we simulate the scattering of Ly$\alpha$ in a $H\,I$ halo about a central Ly$\alpha$ source. For the first time, we consider both smooth and clumpy distributions of halo gas, as well as a range of outflow speeds, total $\rm H\,I$ column densities, $H\,I$ spatial concentrations, and central source galaxies (e.g., with Ly$\alpha$ line widths corresponding to those typical of AGN or star-forming galaxies). We compute the spatial-frequency diffusion and the polarization of the Ly$\alpha$ photons scattered by atomic hydrogen. Our scattering-only model reproduces the typical size of Ly$\alpha$ nebulae ($100\,$kpc) at total column densities $N_HI 10^20 \rm cm^-2$ and predicts a range of positive, flat, and negative polarization radial gradients. We also find two general classes of Ly$\alpha$ nebula morphologies: with and without bright cores. Cores are seen when $N_HI$ is low, i.e., when the central source is directly visible, and are associated with a polarization jump, a steep increase in the polarization radial profile just outside the halo center. Of all the parameters tested in our smooth or clumpy medium model, $N_HI$ dominates the trends. The radial behaviors of the Ly$\alpha$ surface brightness, spectral line shape, and polarization in the clumpy model with covering factor $f_c 5$ approach those of the smooth model at the same $N_HI$. A clumpy medium with high $N_HI$ and low $f_c 2$ generates Ly$\alpha$ features via scattering that the smooth model cannot: a bright core, symmetric line profile, and polarization jump.

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