Dark Matter in Galaxy Clusters: a Parametric Strong Lensing Approach

Abstract: We present a parametric strong lensing analysis of three massive clusters. Our aim is to probe the inner shape of dark matter haloes, in particular the existence of a core. We adopt the following working hypothesis: any group/cluster scale dark matter clump introduced in the modelling should be associated with a luminous counterpart. We also adopt some additional well motivated priors in the analysis, even if this degrades the quality of the fit, quantified using the RMS between the observed and model generated images. In particular, in order to alleviate the degeneracy between the smooth underlying component and the galaxy scale perturbers, we use the results from spectroscopic campaigns by Bergamini et al. (2019) allowing to fix the mass of the galaxy scale component. In the unimodal galaxy cluster AS1063, a cored mass model is favored with respect to a non cored mass model, and this is also the case in the multimodal cluster MACSJ0416. In the unimodal cluster MACSJ1206, we fail to reproduce the strong lensing constraints using a parametric approach within the adopted working hypothesis. We then successfully add a mild perturbation in the form of a superposition of B-spline potentials which allows to get a decent fit (RMS=0.5"), finally finding that a cored mass model is favored. Overall, our analysis suggest evidence for cored cluster scale dark matter haloes. These findings may be useful to interpret within alternative dark matter scenario, as self interacting dark matter. We propose a working hypothesis for parametric strong lensing modelling where the quest for the best fit model will be balanced by the quest for presenting a physically motivated mass model, in particular by imposing priors.