E(5)-like emerging γ softness in Kr82

Emerging γ-soft-like spectrum in 196Pt in the SU3-IBM (I)*

“…In this shape phase transition, another special point that exhibits accidental degeneracy features can be located near the middle of the degenerate line (point B in Fig. 1,) and it can be used to describe the properties of 196 Pt [4]. In [5], a shape transitional behavior similar to that from the limit to the limit in IBM was observed by introducing the fourth-order interaction, which can describe the -like γ-softness in 82 Kr.…”

“…We must emphasize that these two anomalous phenomena cannot be explained by the interacting boson model with the -softness [6]. Recent studies on the prolate-oblate asymmetric shape phase transition have revealed that the key ingredient of the new model SU3-IBM is describing the oblate shape with the SU(3) third-order interaction [4]. γ-softness results from the competition between the prolate and oblate shapes.…”

“…U( 5) O( 6) SU(3) E (5) Recently, two important results in the SU3-IBM have also been found [4,5]. In [4], the SU(3)-IBM was used to describe the prolate-oblate shape phase transition with an asymmetric manner, which can adequately explain the shape transitions from 180 Hf to 200 Hg including the nucleus 196 Pt. The transitional region is selected along the dashed red line in Fig.…”

“…The green line is not straight but curved. However, the straight line is a suitable approximation if N is small [4]. The top part of the purple line (near ) is spherical, and the bottom part ( ) presents the deformations.…”

“…E (5) O (6) B(E2) SU (3) S U (3) Recently, an extension of the interacting boson model with higher-order interactions (SU3-IBM for short) was proposed to describe the spherical-like γ-soft spectra of 110 Cd [1], explain the puzzling anomaly [2,3], discuss the prolate-oblate asymmetric shape phase transition in the Hf-Hg region including 196 Pt [4], and provide an -like description for 82 Kr [5]. higherorder interactions were found to be unable to explain the anomaly [6].…”