Bulg. J. Phys. vol.42 no.4 (2015), pp. 450-456

The Emergent Euclidean Dynamical Symmetry in Nuclear Shape Phase Transitions

Y. Zhang, X.X. Wang, X.R. Yu, X.X. Li, S.Y. An
Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China
Abstract. Based on the boson realization of the Euclidean algebras, it is shown that the Euclidean dynamical symmetry can naturally emerge at the critical point of the U(5)-SO(6) transition in the interacting boson model. With a nonlinear projection, it is further shown that both the E(5) and the X(5) critical point structures can be realized within the Euclidean dynamical symmetry, which thus provides a unified symmetry-based interpretation of the spherical to deformed shape phase transitions.

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