2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/19726We evaluate the dominant superconducting pairing symmetry in some 3-dimensional cubic lattice struct ures within the third-order perturbation theory with respect to the on-site coulomb repulsion. We cl arify whether the vertex correction term, which has a critical contribution to the p-wave state in t he 2-dimensional systems, is also important in the 3-dimensional system. We finally investigate the interplay between dimensionality and the vertex correction to grasp common features independent of t he lattice structures in the mechanism of the superconductivity.27 pages, 14 figures. submitted to J. Phys. Soc. JpnStrongly Correlated ElectronsSuperconductivitytext