The amplitude of the initial density fluctuation spectrum from lensing statistics
A complete catalogue of galaxy cluster models can be used to constrain cosmological parameters like $σ_8$, the amplitude of the initial density fluctuation spectrum. We focus here on two strong lensing statistics for clusters of galaxies: the fraction of rich Abell clusters that are critical to lensing, and the abundance of arcs in such clusters, especially the X-ray luminous ones. The specific aim of this paper is to constrain $σ_8$ for the standard Cold Dark Matter scenario within an Einstein-de Sitter universe.
astro-ph↗