X(3): An Exactly Separable Gamma-Rigid Version of the X(5) Critical Point Symmetry

Details X(3): An Exactly Separable Gamma-Rigid Version of the X(5) Critical Point Symmetry X(3): An Exactly Separable Gamma-Rigid Version of the X(5) Critical Point Symmetry

2005-10-31

arxiv.org/abs/nucl-th/0510093v1

Phys.Lett. B632 (2006) 238-242

Physics

Nuclear Physics

Nuclear Theory

LaTeX, 12 pagres, including 4 postscript figures

Scientific paper

10.1016/j.physletb.2005.10.060

A gamma-rigid version (with gamma=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 172-Os and 186-Pt. An unexpected similarity of the first beta bands of the X(5) nuclei 150-Nd, 152-Sm, 154-Gd, and 156-Dy to the X(3) predictions is observed.

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