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A study of the energy behavior of the interferometry radii is carried out forthe RHIC and LHC energies within the hydrokinetic model (HKM). The hydrokineticpredictions for the HBT radii at LHC energies are compared with the recentresults of the ALICE Collaboration. The role of non-equilibrium andnon-hydrodynamic stage of the matter evolution in formation of the femtoscopyscales at the LHC energies is analyzed. For this aim we develop the hybridhydrokinetic model.

Femtoscopic scales in central A+A collisions at RHIC and LHC energies in hydrokinetic model