2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/81745We investigate the phenomenom of emerging regular spectral features from random interactions. In particular, we address the dominance of L=0 ground states in the context of the vibron model and the interacting boson model. A mean-field analysis links different regions of the parameter space with definite geometric shapes. The results that are, partly, obtained in closed analytic form, provide a clear and transparent interpretation of the distribution of ground state angular momenta as observed before in numerical studies.10 pages, 2 figures, 2 tables. Invited talk at `Exotic nuclei at the proton drip line', Camerino, Italy, September 25-28, 2001Nuclear Theorytext