Femtoscopy as a tool for studying phase transition phenonema at STAR/BES energies in context of femtoscopic analysis at NICA

Femtoscopy is a tool for studying space-time evolution of hot and dense matter during high energy collisions by using two-particle correlations. Femtoscopic and flow measurements at RHIC and LHC energies are were well reproduced by hydrodynamics models that contains equation of state (EoS) with crossover type transition from Quark-Gluon Plasma to hadron gas phase. Similar studies were performed at AGS and SPS accelerators and are performed now in Bean Energy Scan (BES) program at Relativistic Heavy Ion Collider for exploring phase diagram of strongly interacting matter.
I present femtoscopic observables calculated for Au-Au collisions at $\sqrt{s_{NN}} = 7.7 - 62.4 GeV from viscous hydro + cascade model \texttt{vHLLE+UrQMD} with two types of EoSs - one that correspond to 1st order phase transition (PT) and second that correspond to crossover PT. I also discuss perspectives of femtoscopic measurements at NICA energy scale $\sqrt{s_{NN}} = 4 - 11$~GeV..