Physical properties and small-scale structure of the Lyman-αforest: Inversion of the HE 1122-1628 UVES spectrum

Abstract

We study the physical properties of the Lyman- α forest by applying the inversion method described by Pichon et al. ([CITE]) to the high resolution and high S/N ratio spectrum of the $z_{\rm em}=2.40$ quasar HE 1122-1628 obtained during Science Verification of UVES at the VLT. We compare the column densities obtained with the new fitting procedure with those derived using standard Voigt profile methods. The agreement is good and gives confidence in the new description of the Lyman- α forest as a continuous field as derived from our method. We show that the observed number density of lines with $\log N > 13$ and 14 is, respectively, 50 and 250 per unit redshift at $z\sim 2$. We study the physical state of the gas, neglecting peculiar velocities, assuming a relation between the overdensity and the temperature, $T={\overline T}(\rho(x)/{\bar \rho})^{2\beta}$. There is an intrinsic degeneracy between the parameters β and ${\overline T}$. We demonstrate that, at a fixed β , the temperature at mean density, ${\overline T}$, can be uniquely extracted, however. While applying the method to HE 1122-1628, we conclude that for $0.2 β , Lyman- γ and C iv profiles. Introducing the Lyman- β line in the fit allows us to reconstruct the density field up to $\rho/{\bar \rho}\sim 10$ instead of 5 for the Lyman- α line only. The neutral hydrogen density is of the order of $\sim \!\!2\times 10^{-9}$ cm -3 and the C iv/H i ratio varies from about 0.001 to 0.01 within the complexes of total column density N (H i) $\sim 10^{15}$ cm -2 . Such numbers are expected for photo-ionized gas of density $n_{\rm H} \sim 10^{-4}$ cm -3 and [C/H] $\sim -2.5$. There may be small velocity shifts (~10 km s -1 ) between the peaks in the C iv and H i density profiles. Although the statistics is small, it seems that C iv/H i and n HI are anti-correlated . This could be a consequence of the high sensitivity of the C iv/H i ratio to temperature. The presence of associated O vi absorption, with a similar profile, confirms that the gas is photo-ionized and at a temperature of $T \sim 10^5$ K.