3 years ago

Statistical analysis of excitation energies in the actinide and rare-earth nuclei.

A.G. Magner, S.V. Radionov, A.I. Levon

Statistical analysis of distributions of the excited state energies in the actinide and rare-earth nuclei is performed in terms of the nearest neighbor spacing distributions. Several approximations, such as the linear approach to the level-repulsion density and that suggested by Brody, to these distributions were applied for the analysis. We found an intermediate character of the experimental spectra of the excitation energies between the order and the chaos for a number of rare-earth and actinide nuclei. They are more close to the Wigner distribution for energies limited by 3 MeV, and to the Poisson distribution for data including higher excitation energies and higher spins. As follows from the cumulative distributions, the Wigner contribution dominates at smaller spacings while the Poisson one is more important at larger spacings.

Publisher URL: http://arxiv.org/abs/1711.01848

DOI: arXiv:1711.01848v1

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