l - th / 0 30 40 40 v 1 1 4 A pr 2 00 3 Angular momentum I ground state probabilities of boson systems interacting by random interactions

In this paper we report our systematic calculations of angular momentum I ground state probabilities (P (I)) of boson systems with spin l in the presence of random two-body interactions. It is found that the P (0) dominance is usually not true for a system with an odd number of bosons, while it is valid for an even number of bosons, which indicates that the P (0) dominance is partly connected to the even number of identical particles. It is also noticed that the P (I max)'s of bosons with spin l do not follow the 1/N (N = l + 1, referring to the number of independent two-body matrix elements) relation. The properties of the P (I)'s obtained in boson systems with spin l are discussed.