Hidden Euclidean Dynamical Symmetry in the U(n + 1) Vibron Model

Wang, Zitong; Hong-Di, Jiang,; Chen, Xin

doi:10.3390/sym14102219

Cited by 8 publications

(4 citation statements)

References 62 publications

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“…IV. THEORETICAL FITTING OF 82 KR 82 Kr has been identified experimentally as an empirical realization of E( 5) features [51,57]. The partial low-lying levels of 82 Kr are demonstrated in Fig.…”

Section: Analysis Of Transitional Behaviorsmentioning

confidence: 98%

$E(5)$-like emerging $γ$-softness in $^{82}$Kr

Zhou¹,

Wang²

2023

Preprint

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Recently the interacting bosom model with SU (3) higher-order interactions was proposed by one of the authors, wherein unexpected γ-softness can be emerged in this new model. This stimulates further discussion on the connections of the new γ-softness and the realistic γ-soft nuclei. In this paper, E(5)-like γ-softness arises when the SU (3) fourth-order interaction Ĉ22 [SU (3)] is considered. And the corresponding transitional behaviors are similar to that from the U (5) limit to the O(6) limit in previous IBM-1, which provides a novel perspective for understanding the new model. Low-lying spectra, B(E2) values between the low-lying states and quadrupole moment of the first 2 + 1 state are investigated. Experimental data of the E(5)-like nucleus 82 Kr are compared with the calculated theoretical results, where the calculated low-lying level energies and the associated B(E2) values fit very well with the experimental data.

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Section: Analysis Of Transitional Behaviorsmentioning

confidence: 98%

$E(5)$-like emerging $γ$-softness in $^{82}$Kr

Zhou¹,

Wang²

2023

Preprint

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“…196 Pt and 132 Ba are two typical traditional γ-soft nuclei. In the IBM, this type of γ-softness is related to or symmetry, such as critical point description [72,73]. In practice, this case is not related to the deformation γ parameter.…”

Section: B(e2) Su(3)mentioning

confidence: 99%

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

Wang 王,

He 何,

Zhou 周

et al. 2024

Chinese Phys. C

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Recently, it has been argued that a spherical-like spectrum emerges in the SU3-IBM,opening up new approaches to understand the γ-softness in realistic nuclei. In a previous paper,γ-softness with degeneracy of the ground and quasi-γ bands was observed. In this paper, anotherspecial point connected with the middle degenerate point is discussed, which is found to be relatedwith the properties of 196Pt. This emergent γ-softness has also been shown to be important forunderstanding the prolate-oblate asymmetric shape phase transition. The low-lying spectra, B(E2)values and quadrupole moments in 196Pt are discussed showing that the new model can accountfor several observed features. This is the first part of the discussions on the γ-soft-like spectrum of196Pt.

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“…Shape phase transition is an important research topic in nuclear structures [23][24][25][52][53][54][55][56][57][58][59]. More discussions focus on the spherical to deformed-shapes phase transition [56], and the critical points can be described by exact symmetry, such as the E(5) symmetry for the spherical to γ-unrelated shape transition [60,61], the X(5) symmetry for the spherical to prolate shape transition [62], and the T (5), T (4) symmetries for the spherical to γ-rigid triaxial shape transition [63,64]. If spherical vibrational mode is questioned [14,15], such shape phase transition needs further discussions.…”

Section: Introductionmentioning

confidence: 99%

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

Wang¹,

He²,

Dong-kang³

et al. 2023

Preprint

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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 γ-soft properties of 196 Pt, 82 Kr and the normal states of 110 Cd, support the validity of the new model.

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Hidden Euclidean Dynamical Symmetry in the U(n + 1) Vibron Model

Cited by 8 publications

References 62 publications

$E(5)$-like emerging $γ$-softness in $^{82}$Kr

$E(5)$-like emerging $γ$-softness in $^{82}$Kr

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

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

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Hidden Euclidean Dynamical Symmetry in the U(n + 1) Vibron Model

Cited by 8 publications

References 62 publications

$E(5)$-like emerging $γ$-softness in $^{82}$Kr

$E(5)$-like emerging $γ$-softness in $^{82}$Kr

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

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

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