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γ-rigid solution of the Bohr Hamiltonian compared to the E(5) critical point symmetry

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Published: Dec 5, 2019
DOI: https://doi.org/10.12681/hnps.2251
Dennis Bonatsos
Institute of Nuclear Physics, N.C.S.R. "Demokritos"
D. Lenis
Institute of Nuclear Physics, N.C.S.R. "Demokritos"
D. Petrellis
Institute of Nuclear Physics, N.C.S.R. "Demokritos"
P. Terziev
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
I. Yigitoglu
Institute of Nuclear Physics, N.C.S.R. "Demokritos"; Hasan Ali Yucel Faculty of Education, Istanbul University
Abstract

A γ-rigid solution of the Bohr Hamiltonian for 7 = 30° is derived, its ground state band being related to the second order Casimir operator of the Euclidean algebra E(4). Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are in close agreement to the E (5) critical point symmetry, as well as to experimental data in the Xe region around A = 130.

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