An Exactly Separable γ-Rigid Version of The X(5) Critical Point Symmetry

Physics

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Properties Of Nuclei, Nuclear Energy Levels, Critical Point Phenomena, Nuclear Structure Models And Methods, 150<=A<=189

Scientific paper

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 cointain 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 Os and Pt. An unexpected similarity of the β1 bands of the X(5) nuclei 150Nd, 152Sm, 154Gd, and 156Dy to the X(3) predictions is observed.

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