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Cluster and hypernuclei production in heavy-ion collisions is presently underactive experimental and theoretical investigation. Since clusters are weeklybound objects, their production is very sensitive to the dynamical evolution ofthe system and its interactions. The theoretical description of clusterformation is related to the n-body problem. Here we present the novel n-bodydynamical transport approach PHQMD (Parton-Hadron-Quantum-Molecular Dynamics)which is designed to provide a microscopic description of nuclear cluster andhypernucleus formation as well as of general particle production in heavy-ionreactions at relativistic energies. In difference to the coalescence orstatistical models, often used for the cluster formation, in PHQMD clusters areformed dynamically due to the interactions between baryons described on a basisof Quantum Molecular Dynamics (QMD)which allows to propagate the n-body Wignerdensity and n-body correlations in phase-space, essential for the clusterformation. The clusters are identified by the MST (Minimum Spanning Tree) orthe SACA ('Simulated Annealing Cluster Algorithm') algorithm which finds themost bound configuration of nucleons and clusters. Collisions among hadrons aswell as Quark-Gluon-Plasma formation and parton dynamics in PHQMD are treatedin the same way as in the established PHSD (Parton-Hadron-StringDynamics)transport approach. In order to verify our approach with respect tothe general dynamics we present here the first PHQMD results for general 'bulk'observables such as rapidity distributions and transverse mass spectra forhadrons ($\pi, K, \bar K, p, \bar p, \Lambda, \bar \Lambda$) from SIS to RHICenergies. We find a good description of the 'bulk' dynamics which allows us toproceed with the results on cluster production, including hypernuclei.

physical review. c

Parton-Hadron-Quantum-Molecular Dynamics (PHQMD) -- A Novel Microscopic  N-Body Transport Approach for Heavy-Ion Collisions, Dynamical Cluster  Formation and Hypernuclei Production