Prolate-oblate asymmetric shape phase transition in the interacting boson model with SU (3) higher-order interactions

Abstract

Prolate-oblate shape phase transition is an interesting topic in nuclear structure, which is useful for understanding the intrinsic interactions between nucleons. Recently, the interacting boson model with $SU(3)$ higher-order interactions was proposed, in which the prolate shape and the oblate shape are not described in a mirror symmetric way. This asymmetric description seems more realistic. The level evolutions, $B(E2)$ values and other important indicators showing the prolate-oblate asymmetric transitions are investigated in detail, and realistic structure evolutions from ${}^{180}$Hf to ${}^{200}$Hg are compared. A key finding is that, the average deformation of the prolate shape is nearly twice the one of the oblate shape. These results, together with the successful description of the $B(E2)$ anomaly in ${}^{168,170}$Os, ${}^{172}$Pt, the $\gamma$-soft properties of ${}^{196}$Pt, ${}^{82}$Kr and the normal states of ${}^{110}$Cd, support the validity of the new model.

arXiv comment16pages,19 figures

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