  Modeling of the process of the formation of nuclear clusters in the hot
nuclear matter is a challenging task. We present the novel n-body dynamical
transport approach - PHQMD (Parton-Hadron-Quantum-Molecular Dynamics) [1] for
the description of heavy-ion collisions as well as clusters and hpernuclei
formation. The PHQMD extends well established PHSD (Parton-Hadron-String
Dynamics) approach - which incorporates explicit partonic degrees-of-freedom
(quarks and gluons), an equation-of-state from lattice QCD, as well as
dynamical hadronization and hadronic elastic and inelastic collisions in the
final reaction phase, by n-body quantum molecular dynamic propagation of
hadrons which allows choosing of the equation of state with different
compression modulus. The formation of clusters, including hypernuclei, is
realized by incorporation the Simulated Annealing Clusterization Algorithm
(SACA). We present first results from PHQMD on the study of the production
rates of strange hadrons, nuclear clusters and hypernuclei in e1elementary and
heavy-ion collisions at NICA energies. In particular, sensitivity on the "hard"
and "soft" equation of state within the PHQMD model was investigated for "bulk"
observables.
