Prolate-oblate asymmetric shape phase transition in the interacting boson model with SU(3) higher-order interactions
Tao Wang, B. C. He, Dong-kang Li, Chun-xiao Zhou
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 $^{180}\mathrm{Hf}$ to $^{200}\mathrm{Hg}$ 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 $^{168,170}\mathrm{Os}, ^{172}\mathrm{Pt}$, the $\ensuremath{\gamma}$-soft properties of $^{196}\mathrm{Pt}, ^{82}\mathrm{Kr}$, and the normal states of $^{110}\mathrm{Cd}$, support the validity of the new model.