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HNPS Proceedings, (15), p. 157, 2020

DOI: 10.12681/hnps.2633

MAIK Nauka/Interperiodica, Physics of Atomic Nuclei, 9(70), p. 1582-1586

DOI: 10.1134/s1063778807090141

Collective Motion and Phase Transitions in Nuclear Systems

DOI: 10.1142/9789812770417_0007

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X(3): an exactly separable γ-rigid version of the X(5) critical point symmetry

Journal article published in 2006 by Dennis Bonatsos, I. Yiyitoglou, D. Lenis, D. Petrellis ORCID, P. A. Terziev, I. Yigitoglu
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

A γ-rigid version (with γ = 0) of the X(5) critical point symmetry is constructed. The model, to be called X(3) since it is proved to contain three degrees of freedom, utilizes an infinite well potential, is based on exact separation of variables, and leads to parameter free (up to overall scale factors) predictions for spectra and B(E2) transition rates, which are in good agreement with existing experimental data for 172Os and 186Pt. An unexpected similarity of the β1-bands of the X(5) nuclei 150Nd, 152Sm, 154Gd, and 156Dy to the X(3) predictions is observed.