Zusammenfassung
The stellar initial mass function is an important ingredient in galaxy
formation, mainly linking the luminosity of a galaxy to its stellar mass, and
driving chemical enrichment. In recent years there has been an ongoing
discussion about systematic variations of the IMF in early-type galaxies and
its connection with possible drivers such as velocity dispersion or
metallicity. Strong gravitational lensing over galaxy scales in combination
with photometric and spectroscopic data provides a powerful method to constrain
the stellar mass-to-light ratio and hence the functional form of the IMF. We
combine photometric and spectroscopic constraints from the latest set of
population synthesis models of Charlot & Bruzual, including a varying IMF, with
a non-parametric analysis of the lensing mass in a sample of 18 early-type lens
galaxies from the SLACS survey, with velocity dispersions in the range 200-300
km/s. We find that very bottom-heavy IMFs are excluded. However, the upper
limit to the IMF slope ($2.2$ for a bimodal IMF, taking into
account a 20-30% contribution to the lensing mass from dark matter, where
$\mu=1.3$ corresponds to a Kroupa-like IMF) is compatible at the $1\sigma$
level with the constraints imposed by gravity-sensitive line strengths. A
two-segment power law parameterisation of the IMF (keeping its index at the
high mass end fixed at the Salpeter value) is more constrained
($\Gammałesssim1.5$, where $\Gamma$ is the power index at the low-mass end).
Furthermore we find that for a standard Milky Way-like IMF to be applicable a
significant amount of dark matter is required within an effective radius. Our
results reveal a large scatter regarding possible values of the IMF slope,
suggesting that the recent lenses of Smith et al. - who find a Milky Way-like
IMF in a few massive lensing early-type galaxies - may be explained by such a
scatter. (Abridged)
Nutzer