Nearest neighbor spacing distribution of U(5) ↔ SO(6) transitional region
Department of Nuclear Physics, University of Tabriz, 51664, Tabriz, Iran
2 Department of Theoretical Physics, University of Tabriz, 51664, Tabriz, Iran
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Accepted: 13 February 2014
Published online: 31 March 2014
Fluctuation properties of a -based transitional Hamiltonian in the transitional region are considered in the nearest-neighbor spacing statistics. Energy spectra are determined via the Bethe-Ansatz method, which contains an extraction of Hamiltonian parameters from the experimental data of nuclei-provided empirical evidences for the considered region. Our results suggest an approach to chaotic dynamics for the transitional region in comparison with both dynamical symmetry limits in sequences prepared by theoretical and experimental data. Also, nuclei which are known as the best candidates for the E(5) critical symmetry exhibit more regularity compared to other nuclei in the transitional region.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014