We investigate on the role of the halo concentration in the formation of the
intra-cluster light (ICL) in galaxy groups and clusters, as predicted by a
state-of-art semi-analytic model of galaxy formation, coupled with a set of
high-resolution dark matter only simulations. The analysis focuses on how the
fraction of ICL correlates with halo mass, concentration and fraction of
early-type galaxies (ETGs) in a large sample of groups and clusters with
13.0≤logMhalo≤15.0. The fraction of ICL follows a normal
distribution, a consequence of the stochastic nature of the physical processes
responsible for the formation of the diffuse light. The fractional budget of
ICL depends on both halo mass (very weakly) until group scales, and
concentration (remarkably). More interestingly, the ICL fraction is higher in
more concentrated objects, a result of the stronger tidal forces acting in the
innermost regions of the haloes where the concentration is the quantity playing
the most relevant role. Our model predictions do not show any dependence
between the ICL and ETGs fractions and so, we instead suggest the concentration
rather than the mass, as recently claimed, to be the main driver of the ICL
formation. The diffuse light starts to form in groups via stellar stripping and
mergers and later assembled in more massive objects. However, the formation and
assembly keep going on group/cluster scales at lower redshift through the same
processes, mainly via stellar stripping in the vicinity of the central regions
where tidal forces are stronger.Comment: 16 pages, 6 figures, 1 table. Accepted for publication in ApJ, small
correction