2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92478In the context of non-relativistic quantum mechanics, we obtain several upper and lower limits on the mean square radius applicable to systems composed by two-body bound by a central potential. A lower limit on the mean square radius is used to obtain a simple criteria for the occurrence of S-wave quantum halo sates.12 pages, 2 figuresQuantum PhysicsNuclear TheoryAtomic PhysicsUpper and lower bounds on the mean square radius and criteria for occurrence of quantum halo statestext