2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148645We present a new three dimensional many-body Hamiltonian with three-body and five-body interactions. We obtain the exact ground state as well as some excited states of this Hamiltonian for arbitrary number of particles. These exact wave-functions describe a novel correlations. Finally, we generalize these three dimensional results to arbitrary higher dimensions.11 pages, RevTeX, discussions on the antisymmetric property of the many-body wave functions, discussions on generalized correlations in two dimensionsCondensed MatterHigh Energy Physics - Theorytext