The study examines the properties of baryonic interactions within neutron stars, focusing on the interactions involving nucleons, leptons, and Λ hyperons using Skyrme baryonic forces. It explores the character of Λ N interactions at high densities, the difference between three-body Λ N N and density-dependent Λ N forces, and the suitability of Skyrme Λ N forces proportional to nuclear density for modeling neutron stars. The research emphasizes the importance of the point of appearance of hyperons in the search for parameterizations suitable for describing neutron stars.