Geometrical scaling for energies available at the BNL Relativistic Heavy Ion Collider to those at the CERN Large Hadron Collider

Based on recent experimental results at the BNL Relativistic Heavy Ion Collider (RHIC) and the CERN Large Hadron Collider (LHC), the (p(T)) dependence of identified light flavor charged hadrons on root(dN/dy)/S-perpendicular to, the relevant scale in the gluon saturation picture, is studied froms root s(NN) = 7.7 GeV up to 5.02 TeV. This study is extended to the slopes of the (p(T)) dependence on the particle mass and the (beta(T)) parameter from Boltzmann-Gibbs blast wave (BGBW) fits of the p(T) spectra. A systematic decrease of the slope of the (p(T)) dependence on root(dN/dy)/S-perpendicular to from Beam Energy Scan (BES) to LHC energies is evidenced. While, for the RHIC energies, within the experimental errors, (p(T))/root(dN/dy)/S-perpendicular to does not depend on centrality, at the LHC energies a deviation from a linear behavior is observed towards the most central collisions. The influence of the corona contribution on the observed trends is discussed. The slopes of the (p(T)) particle mass dependence and the (beta(T)) parameter from BGBW fits scale well with root(dN/dy)/S-perpendicular to. Similar systematic trends for pp at root s = 7 TeV are in a good agreement with the ones corresponding to Pb-Pb collisions at root s(NN) = 2.76 and 5.02 TeV, pointing to a system-size-independent behavior.