Cluster and hypernuclei production in heavy-ion collisions is an area of renewed interest from both a theoretical and experimental point of view. The dynamics of such objects as clusters are related to the n-body problem, as such an n-body dynamical approach is needed to treat them. In the existing literature there are two main approaches to solve this kind of problem, those based on QMD (such as QMD,IQMD,UrQMD) and those based on mean field calculation (Vlasov)Boltzmann-Uehling-Uhlenbeck ((V)BUU) models (such as Buu AMPT HSD PHSD GiBUU SMASH). While the latter are capable of reproducing a wide array of observables, cluster formation is based on n-body correlations that are smeared out due to the nature of these approaches. The former are limited to no relativistic energies (with the exception of UrQMD which is mainly used for coalescence). Based on the well established PHSD (Parton-Hadron-String Dynamics) transport approach, supplemented by QMD (Quantum Molecular Dynamics) PHQMD allows us to have a microscopic description of collisions, and general particle production. This approach allows us to dynamically form the clusters from the interactions of the baryons described by QMD. The FOPI collaboration results at 1.5 AGeV showed that up to 35 % of the protons were bound in clusters, therefore a robust description of these dynamics is necessary if we wish to compare with experimental results. Further experimental setups to explore this energy range (2 AGeV - 100 AGeV) are under construction, at the Facility for Anti-Proton and Ion Research (FAIR) in Darmstadt and the Nuclotron-based Ion Collider fAcility (NICA) in Dubna. Here we will present some results obtained at beam energies in the 1 AGeV range for which we currently have experimental data (FOPI Au+AU and HADES Au+Au and Ag+Ag).
