Abstract
We study the energy level statistics of the SO(5) limit ofsuper-symmetry U(6/4) in odd-A nucleus using the interacting boson–fermionmodel. The nearest neighbor spacing distribution (NSD) and the spectralrigidity (Δ3) are investigated, and the factors that affect theproperties of level statistics are also discussed. The results show thatthe boson number N is a dominant factor. If N is small, both theinteraction strengths of subgroups SOB(5) andSOBF(5) and the spin play important rolesin the energy level statistics, however, along with the increase of N, thestatistics distribution would tend to be in Poisson form.
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