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Energy Level Statistics of SO(5) Limit of Super-symmetry U(6/4) in Interacting Boson–Fermion Model

We study the energy level statistics of the SO(5) limit of super-symmetry U(6/4) in odd-A nucleus using the interacting boson–fermion model. The nearest neighbor spacing distribution (NSD) and the spectral rigidity (Δ3) are investigated, and the factors that affect the properties of level statistics are also discussed. The results show that the boson number N is a dominant factor. If N is small, both the interaction strengths of subgroups SOB(5) and SOBF(5) and the spin play important roles in the energy level statistics, however, along with the increase of N, the statistics distribution would tend to be in Poisson form.