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Elsevier, Physics Letters B, 3-4(588), p. 172-179, 2004

DOI: 10.1016/j.physletb.2004.03.029

HNPS Proceedings, (13), p. 73, 2020

DOI: 10.12681/hnps.2960

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Z(5): Critical point symmetry for the prolate to oblate nuclear shape phase transition

Journal article published in 2004 by Dennis Bonatsos, D. Lenis, D. Petrellis ORCID, P. A. Terziev
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

A solution of the Bohr Hamiltonian is obtained by approximately separating variables for gamma = 30 degrees. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are found to be in good agreement with experimental data for Pt-194, which is supposed to be located very close to the prolate to oblate critical point, as well as for its neighbours (Pt-192, Pt-196). Hallmarks of the model are the R-4 = E(4)/E(2) ratio of 2.350, as well as the location of the gamma(1)- and beta(1)-bandheads (normalized to the 2(+) state of the ground state band) at 1.837 and 3.913 respectively, while the selection rules for B(E2) transition rates are similar to the ones of the O(6) limit of the Interacting Boson Model.