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The X-Shooter Lens Survey - I. Dark-Matter Domination and a Salpeter-type IMF in a Massive Early-type Galaxy

, , , , and .
(2011)cite arxiv:1103.4773.

Abstract

We present the first results from the X-shooter Lens Survey (XLENS): an analysis of the massive early-type galaxy SDSS J1148+1930 at redshift z=0.444. We combine its extended kinematic profile - derived from spectra obtained with X-shooter on the ESO Very Large Telescope - with strong gravitational lensing and multi-color information derived from SDSS images. Our main results are (i) The luminosity-weighted stellar velocity dispersion is <f_\ast>(<Reff) = 351 10 km/s, more accurate and considerably lower than a previously published value of \sim450km/s. (ii) A single-component (stellar plus dark) mass model of the lens galaxy yields a logarithmic total-density slope of \gamma' = 1.72+0.05 (\rho r^(-\gamma')). (iii) The projected stellar mass fraction, derived solely from lensing, is f(<Reff) = 0.19+0.04-0.09 inside the Einstein radius for a Hernquist profile and no anisotropy. The dark-matter fraction inside the effective radius f(<Reff) = 0.60+0.15\pm0.1 . (iv) Based on the SDSS colors, we find f_\ast(<Reff)=0.17 0.06 for a Salpeter IMF and f_\ast(<Reff)=0.07 0.018 for a Chabrier IMF. The lensing and dynamics constraints on the stellar mass fraction agree well with those independently derived from the SDSS colors for a Salpeter IMF, preferred over Chabrier. Dwarf-rich IMFs in the lower mass range of 0.1-0.7 solar mass, with \alpha > 3 (with dN/dM M^(-\alpha)) - recently suggested by van Dokkum & Conroy for massive ETGs - are excluded at the > 90 % C.L. and in some cases violate the total lensing-derived mass limit. We conclude that this very massive early-type galaxies is dark-matter dominated inside one effective radius, extending the trend recently found from massive SLACS galaxies, with a total density slope more shallow than isothermal. We exclude IMFs with \alpha = -3.5 at the > 90% CL, based on constraints set by lensing and dynamics.

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