  Correlation femtoscopy allows one to measure the space-time characteristics
of particle production in relativistic heavy-ion collisions due to the effects
of quantum statistics (QS) and final state interactions (FSI). The main
features of the femtoscopy measurements at top RHIC and LHC energies are
considered as a manifestation of strong collective flow and are well
interpreted within hydrodynamic models employing equation of state (EoS) with a
crossover type transition between Quark-Gluon Plasma (QGP) and hadron gas
phases. The femtoscopy at lower energies was intensively studied at AGS and SPS
accelerators and is being studied now in the Beam Energy Scan program (BES) at
the BNL Relativistic Heavy Ion Collider in the context of exploration of the
QCD phase diagram. In this article we present femtoscopic observables
calculated for Au-Au collisions at $\sqrt{s_{NN}} = 7.7 - 62.4$ GeV in a
viscous hydro + cascade model vHLLE+UrQMD and their dependence on the EoS of
thermalized matter.
