The density structure around quasars inferred from optical depth statistics

Mathematics – Probability

Scientific paper

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Scientific paper

We investigate the density structure in host galaxies of quasars using the longitudinal proximity effect in a large sample of high luminosity quasars observed at the VLT-UT2 Kueyen ESO telescope. The sample consists of 13 quasars at 2.2<3.3 with a mean luminosity of 2.7 1031 h-2 ergs/s/Hz. We analyse the evolution of the absorption level in the vicinity of the quasar through the optical depth probability distribution function (PDF). This evolution is driven both by the density enhancement in the host galaxy and by the ionising flux emitted by the quasar. The data are consistent with a matter density PDF as derived analytically from void expansion by Miralda-Escude et al. (2000), whose shape does not vary in the vicinity of the quasar. We derive then the evolution of the mean gas over-density as a function of the distance to the quasar. It can be described with a power law of slope -1 from 0.1 to 5-10 h-1 Mpc proper. Using the same density structure, and neglecting QSO anisotropy and variability, the transverse proximity effect observed with the SDSS quasars may be explained.

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