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Based on the boson realization of the Euclidean algebras, it is shown that the five-dimensional Euclidean dynamical symmetry may emerge at the triple point of the shape phase diagram of the interacting boson model, which thus offers a symmetry-based understanding of this isolated point. It is further shown that the low-lying dynamics in Pd108, Ba134, Zn64, and Cd114 may be dominated by the Euclidean dynamical symmetry.

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Physical Review C - Nuclear Physics