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Correlation femtoscopy allows one to measure the space-time characteristicsof particle production in relativistic heavy-ion collisions due to the effectsof quantum statistics (QS) and final state interactions (FSI). The mainfeatures of the femtoscopy measurements at top RHIC and LHC energies areconsidered as a manifestation of strong collective flow and are wellinterpreted within hydrodynamic models employing equation of state (EoS) with acrossover type transition between Quark-Gluon Plasma (QGP) and hadron gasphases. The femtoscopy at lower energies was intensively studied at AGS and SPSaccelerators and is being studied now in the Beam Energy Scan program (BES) atthe BNL Relativistic Heavy Ion Collider in the context of exploration of theQCD phase diagram. In this article we present femtoscopic observablescalculated for Au-Au collisions at $\sqrt{s_{NN}} = 7.7 - 62.4$ GeV in aviscous hydro + cascade model vHLLE+UrQMD and their dependence on the EoS ofthermalized matter.

Correlation femtoscopy study at NICA and STAR energies within a viscous hydrodynamic plus cascade model