  The discussion is focused on the study of the fundamental symmetries
($\mathcal{P/CP}$) of QCD and geometry of the particle source. The combination
of correlators corresponding to the absolute asymmetry of distribution of
electrically charged particles with respect to the reaction plane in heavy ion
collisions is studied. A significant decrease of the absolute asymmetry is
observed in the intermediate energy range which can be considered as indication
of possible transition to predominance of hadronic states over quark-gluon
degrees of freedom in the mixed phase created in heavy ion collisions at
intermediate energies. For the investigation of the energy evolution of the
geometric properties of the particle source the use of femtoscopic radii scaled
on the averaged radius of colliding ions is suggested. This approach allows the
expansion of the set of interaction types, in particular, on the collisions of
non-symmetrical ion beams which can be studied within the framework of common
treatment. There is no sharp changing of femtoscopic parameter values with
increasing of the initial energy. The suggestions are made for future
advancement of these studies on NICA-MPD.
