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The relativistic nucleus-nucleus collisions can produce hypernuclei andlow-temperature hyper-matter as a result of hyperon capture by nuclear residuesand free nucleons. We use the transport, coalescence and statistical models todescribe the whole process, and point at the important advantages of suchreactions: A broad variety of formed hypernuclei in masses and isospin allowsfor investigating properties of exotic hypernuclei, as well as the hypermatterboth at high and low temperatures. The abundant production of multi-strangenuclei that can give an access to multi-hyperon systems and strange nuclearmatter. The de-excitation of hot hyper-cluster will allow for the hyperoncorrelation studies. There is a saturation of the hypernuclei production athigh energies, therefore, the optimal way to pursue this experimental study isto use the accelerator facilities of intermediate energies.

Production of hypernuclei and properties of hyper-nuclear matter