Stability Analysis of Geometric Constraints for Reconstruction of $$\Lambda $$ and $$K_{S}^{0}$$ in the BM@N Experiment

The work is devoted to the search for lambda hyperons ( $$\Lambda $$ ) and short-lived neutral kaons ( $$K_{S}^{0}$$ ), born in nuclear collisions in the Baryonic Matter at Nuclotron (BM@N) experiment, implemented at the Joint Institute for Nuclear Research (JINR, Dubna). To analyze the effectiveness of the geometric constraints for the reconstruction of strange particles, Monte Carlo simulations and experimental data of the collision of a xenon beam with an energy of 3.8 AGeV with a CsI target were used. After reconstruction of the events and selection of the candidate pairs, distributions of invariant masses were obtained and peaks corresponding to lambda hyperons and neutral kaons were identified. The number of born strange particles was calculated for different values of geometric constraints and the stability of these constraints was analyzed.