Abstract
The critical point T(5) symmetry for the spherical to triaxially deformed shape phase transition is introduced from the Bohr Hamiltonian by approximately separating variables at a given γ deformation with 0°≤γ≤30°. The resulting spectral and E2 properties have been investigated in detail. The results indicate that the original X(5) and Z(5) critical point symmetries can be naturally realized within the T(5) model in the γ=0° and γ=30° limit, respectively, which thus provides a dynamical connection between the two symmetries. Comparison of the theoretical calculations for 148Ce, 160Yb, 192Pt and 194Pt with the corresponding experimental data is also made, which indicates that, to some extent, possible asymmetric deformation may be involved in these transitional nuclei.
Highlights
Critical point symmetries (CPSs) in nuclear structure have attracted a lot of attention [1,2,3,4,5,6,7,8,9,10], since these models may provide parameter-free predictions about the structural properties of nuclei in the phase transitional region [11,12]
Model provides a dynamical connection between the original X(5) and Z(5) CPSs [2,4], of which the two CPSs just correspond to the limiting cases of the T(5) model
It was shown that the model provides a better description of the spectral patterns of 148Ce, 160Yb, 192Pt, and 194Pt, which in turn indicates that possible triaxial deformation may be involved to some extent in these transitional nuclei
Summary
Critical point symmetries (CPSs) in nuclear structure have attracted a lot of attention [1,2,3,4,5,6,7,8,9,10], since these models may provide parameter-free (up to an overall scale) predictions about the structural properties of nuclei in the phase transitional region [11,12] These CPSs include, for example, the critical point of the spherical to γ -unstable shape phase transition E(5) [1], the critical point of the spherical to axially deformed shape phase transition X(5) [2], and the critical point of the prolate to oblate shape phase transition Z(5) [4] ( serving as the CPS for the shape transition from the spherical to the triaxial deformation at γ = 30◦), etc., which have been widely confirmed in experiment [13,14,15,16,17,18,19,20]. It should be mentioned that the spherical to triaxial-deformed shape phase transition can be alternatively analyzed within the interacting boson model [21] by introducing high-order terms in the Hamiltonian [22,23,24,25] since a rigid triaxial structure with a given γ deformation can principally be defined in such cases [24,25]
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