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Connecting the X(5)-$β^2$, X(5)-$β^4$, and X(3) models to the shape/phase transition region of the interacting boson model

E. A. McCutchan·Dennis Bonatsos·N. V. Zamfir
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Abstract

The parameter independent (up to overall scale factors) predictions of the X(5)-$β^2$, X(5)-$β^4$, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two-parameter calculations in the framework of the interacting boson approximation (IBA) model. The results show that these geometric models coincide with IBA parameters consistent with the phase/shape transition region of the IBA for boson numbers of physical interest (close to 10). Nuclei within the rare-earth region and select Os and Pt isotopes are identified as good examples of X(3), X(5)-$β^2$, and X(5)-$β^4$ behavior.

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E. A. McCutchan, Dennis Bonatsos, N. V. Zamfir. 2006-07-24. Connecting the X(5)-$β^2$, X(5)-$β^4$, and X(3) models to the shape/phase transition region of the interacting boson model. https://doi.org/10.1103/physrevc.74.034306

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