High mass flow rate in a BAL outflow of quasar SDSS J1130 + 0411

We present the analysis of the absorption troughs of six outflows observed in quasar SDSS J1130 + 0411 ($z$ ≈ 3.98) with radial velocities ranging from -2400 to $-15\, 400$ km s^-1. These spectra were taken with the Very Large Telescope/Ultraviolet and Visual Echelle Spectrograph over the rest-frame wavelength range of 1135-1890 Å. In the main outflow system ($v$ ≈ -3200 km s^-1), we identify Fe II and several Fe II* absorption troughs, as well as Si II and Si II* troughs, which we use to determine the electron number density $\log n_e = 2.6_{-0.7}^{+0.8}$ cm^-3. Using the column densities of these and other ions, we determine a photoionization solution with hydrogen column density $\log N_H = 21.44_{-0.33}^{+0.24}$ cm^-2 and ionization parameter $\log U_H = -1.75_{-0.45}^{+0.28}$. From these values, we derive the distance $R = 16_{-11}^{+23}$ kpc, the average mass flow rate $\dot{M} = 4100_{-2400}^{+6600}$ M_⊙ yr^-1, and the kinetic luminosity $\log \dot{E}_k = 46.13_{-0.37}^{+0.41}$ erg s^-1. This $\dot{E}_k$ is $1.4_{-0.8}^{+2.2}$ per cent of the quasar's Eddington luminosity, and therefore contributes significantly to AGN feedback.