Abstract
This work is devoted to the study of the simplest hypernuclei, namely \(_{\Lambda }^{3}{\text{H}}\) and \(_{\Lambda }^{4}{\text{H}}\) , in the BM@N experiment. They may be one of the possible markers of the phase transition from nuclear matter to quark-gluon plasma in high-energy ion collisions. Reconstruction efficiency of two-body \({{\pi }^{ - }}\) ecays of these hypernuclei was estimated using simulated data based on DCM-SMM nuclear interaction model and a realistic description of the BM@N spectrometer. A procedure to optimize significance of the observed signal of hypernuclei decays is developed and presented.