Results on the Production of Λ-Hyperons in Interactions with Nuclei at Energies of 4.0 and 4.5 A GeV at the Nuclotron

The BM@N experiment (Baryonic Matter at the Nuclotron) is the first fixed-target experiment at the JINR NICA-Nuclotron accelerator complex. The BM@N scientific program comprises studies of dense nuclear matter created in heavy-ion collisions with energies between the energy ranges of SIS-18 and NICA/FAIR facilities. In this work, data on the interactions of carbon-ion beams with kinetic energies of 4.0 and 4.5 A GeV with C, Al, Cu, and Pb targets were analyzed. The energy distributions of $$\Lambda $$ -hyperon yields extrapolated to the full kinematic region are presented. Various approaches to representing the results are also demonstrated, enabling their consistent comparison with data from other experiments.