Investigation of low-lying energy spectra for deformed prolate nuclei via partial dynamical SU(3) symmetry

Fouladi, N.; Fouladi, J.; Sabri, H.

doi:10.1140/epjp/i2015-15112-7

Cited by 12 publications

(8 citation statements)

References 38 publications

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“…These nuclei have an energy ratio of > 3.00 and located in the 152 ≤ A ≤ 250 as listed in Ref. 20 . We used the explicit values of energy levels and ignored the uncertainties due to the experimental methods for their determination.…”

Section: Resultsmentioning

confidence: 99%

“…In contrast, those have the same L values in beta and gamma bands, while experimental energy levels have no degeneracy. Partial dynamical 18 – 20 , 39 and quasi dynamical 5 , 40 – 42 symmetries are the most used techniques applied in the IBM framework to remove this degeneracy in the deformed nuclei.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…The two parameters, D and h 2, are determined compared to experimental data, which detailed about such processes are available in the Refs. 19 , 20 . Also, the h 0 parameter was varied so as to reproduce the band-head energy of the β band.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…Partial dynamical (PD) and quasi dynamical (QD) symmetries are the most commonly used methods in which their advantages are expressed in Refs. 10 – 20 .…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, Guhr et al have stated in their paper 37 , that degeneracy makes irregular statistics in the energy spectra of atomic nuclei. Partial dynamical symmetries (PDS) 18 – 20 and quasi dynamical symmetry (QDS) 5 are the most popular frameworks which are used to consider the properties of rotational bands.…”

Section: Introductionmentioning

confidence: 99%

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Partial dynamical symmetry versus quasi dynamical symmetry examination within a quantum chaos analyses of spectral data for even–even nuclei

Sabri

Mobarakeh

Majarshin

et al. 2021

Sci Rep

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Statistical analyses of the spectral distributions of rotational bands in 51 deformed prolate even–even nuclei in the 152 ≤ A ≤ 250 mass region $$R_{{4_{1}^{ + } /2_{1}^{ + } }} \ge 3.00$$ R 4 1 + / 2 1 + ≥ 3.00 are examined in terms of nearest neighbor spacing distributions. Specifically, the focus is on data for 0+, 2+, and 4+ energy levels of the ground, gamma, and beta bands. The chaotic behavior of the gamma band, especially the position of the $$2_{\gamma }^{ + }$$ 2 γ + band-head compared to other levels and bands, is clear. The levels are analyzed within the framework of two models, namely, a SU(3)-partial dynamical symmetry Hamiltonian and a SU(3) two-coupled quasi-dynamical symmetry Hamiltonian, with results that are further analyzed using random matrix theory. The partial and quasi dynamics both yield outcomes that are in reasonable agreement with the known experimental results. However, due to the degeneracy of the beta and gamma bands within the simplest SU(3) picture, the theory cannot be used to describe the fluctuation properties of excited bands. By changing relative weights of the different terms in the partial and quasi dynamical Hamiltonians, results are obtained that show more GOE-like statistics in the partial dynamical formalism as the strength of the pairing term is increased. Also, in the quasi-dynamical symmetry limit, more correlations are found because of the stronger couplings.

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Section: Resultsmentioning

confidence: 99%

Section: Theoretical Frameworkmentioning

confidence: 99%

Section: Theoretical Frameworkmentioning

confidence: 99%

“…Partial dynamical (PD) and quasi dynamical (QD) symmetries are the most commonly used methods in which their advantages are expressed in Refs. 10 – 20 .…”

Section: Introductionmentioning

confidence: 99%