Astronomy & Astrophysics

All Tables

Table 1: Flux densities, velocities and positions of individual image components. Values have been determined by fitting Gaussian profiles to the visibilities. Offset position (0, 0) is at the assumed lens position specified in the caption of Fig. 1. ^a Relative position uncertainties are based on statistical noise and do not include astrometric errors. ^b Values taken from the second observation campaign in 2003. ^c Values in brackets are from the reanalysis of the P99 data, and do not include data from 2003. ^d Velocities are relative to the redshift at z = 1.4141. The CO(2-1) line parameters for the two A components were not derived from the spectrum shown in Fig. 4 that was taken between A-red and A-blue, but are based on spectra determined at the respective positions of A-blue and A-red.
Table 2: Best fit parameters for Q0975+561. Parameters are: $\Delta \alpha \equiv$ right ascension, $\Delta \delta \equiv$ declination, $\sigma \equiv$ velocity dispersion, $\xi _{\rm c}\equiv$ core radius, $\varepsilon \equiv$ ellipticity, $\Phi _{\rm PA}\equiv$ position angle, $\eta \equiv$ power law index, $\gamma ^{(_{'})}\equiv$ shear term, $\Phi _\gamma \equiv$ shear angle, $M_{\rm bh}\equiv$ mass of the black hole, $\Delta \tau \equiv$ time delay, $m\equiv$ magnification factor. ^a Offset from assumed lens position. ^bFixed parameters (shown in italic). ^c Values in brackets are $\chi _{\rm r}^2$ -tests with time delay. The reduced $\chi ^2_{\rm r}$ is defined as: $\chi ^2_{\rm r}=\chi ^2/N_{\rm d.o.f.}$ where $N_{\rm d.o.f.}$ is the degrees of freedom. ^d $\gamma '$ is only taken for the elliptical potentials ( $\gamma '=\gamma /(1-\kappa )$ ) where $\kappa =\Sigma _{\rm clus}/\Sigma _{\rm crit}$ is defined as the surface mass density of the cluster in units of the critical surface density (Barkana et al. 1999). For the spherical models, $\kappa =0$ and for the elliptical ones it can be approximated by $\kappa \simeq \gamma$ , i.e. $\gamma '=\gamma /(1-\gamma )$ . ^e based on Barkana et al. (1999). ^f Based on Chae et al. (1999). ^g Determined for the blue component.
Table 3: Apparent CO luminosity L' and molecular gas mass $M_{\rm gas}$ of Q0957+561. $^a~m\equiv$ magnification factor. ^b determined with the FGSE+CL model.