Pairing and Isospin Dependence of Chaos in Nuclei

Statistics

Scientific paper

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Scientific paper

Shell-model energy spectra of Ca, Sc and Ti isotopes are analyzed using standard statistics such as the nearest level spacing distribution and the Dyson-Mehta Δ3. For all the Ca isotopes, in the ground state region the energy level fluctuations show strong deviations from GOE predictions. When one or two neutrons are replaced by protons, Sc is closer to GOE and Ti is even more chaotic. Thus we find a clear isospin dependence in the degree of nuclear chaoticity. It is also shown that the pairing force is largely responsible for the quasiregular motion in the ground state region of Ca isotopes.

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