2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160562A detailed analysis of necessary conditions on a family of many-body potentials, which ensure stability, superstability or strong superstability of a statistical system is given in present work.There has been given also an example of superstable many-body interaction.15 pagesMathematical Physics82B05; 82B21text