2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190995We present an analytical proof and a generalization of the Fayache-Sharon-Zamick relation between single particle energy splittings and the SU(3) limit in Elliott's model.13 pages, RevTeX. To appear in Phys. Rev. CNuclear TheoryAnalytic expressions for the single particle energies with a quadrupole-quadrupole interaction and the relation to Elliott's SU(3) modeltext