Inspired by a new compilation of strong lensing systems ( SLS ) , which consist of 205 points in the redshift range 0.0625 < z _ { l } < 0.958 for the lens galaxy and 0.196 < z _ { s } < 3.595 for the source , we constrain three models that generate a late cosmic acceleration : the \omega -cold dark matter model , the Chevallier-Polarski-Linder and the Jassal-Bagla-Padmanabhan parametrizations .
Our compilation contains only those systems with early type galaxies acting as lenses , with spectroscopically measured stellar velocity dispersions , estimated Einstein radius of each system , and both the lens and source redshifts .
We assume an axially symmetric mass distribution in the lens equation , using a correction to alleviate differences between the measured velocity dispersion ( \sigma ) and the dark matter halo velocity dispersion ( \sigma _ { DM } ) as well as other systematic errors that may affect the measurements .
To investigate the impact of some observables , such as the velocity dispersion , the Einstein radius and the redshift interval probed by the lens galaxies , we have considered different sub-samples to constrain the cosmological parameters of each model .
Our results show that cosmological constraints are very sensitive to the selected data : some cases show convergence problems in the estimation of cosmological parameters ( e.g .
systems with observed distance ratio D ^ { obs } < 0.5 ) , others show high values for the chi-square function ( e.g .
systems with a lens equation D ^ { obs } > 1 or high velocity dispersion \sigma > 276 km s ^ { -1 } ) .
Model selection criteria show that using SLS , the \omega -cold dark matter and Chevallier-Polarski-Linder models are preferred in different regions of the data .