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We propose a simple approach to predict the angular momentum I ground state(I g.s.) probabilities of many-body systems that does not require thediagonalization of hamiltonians with random interactions. This method is foundto be applicable to {\bf all} cases that have been discussed: even and oddfermion systems (both in single-j and many-j shells), and boson (both sd andsdg) systems. A simple relation for the highest angular momentum g.s.probability is found. Furthermore, it is suggested for the first time that the0g.s. dominance in boson systems and in even-fermion systems is given bytwo-body interactions with specific features.Comment: 8 pages, 3 figures, to be publishe

Simple approach to the angular momentum distribution in the ground states of many-body systems