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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