The correlation of quadrupole transition rates of deformed nuclei by non-parametric approach

Hosseinnezhad, A.; Sabri, H.; Seidi, Masoud

doi:10.1016/j.nuclphysa.2022.122431

Cited by 3 publications

(4 citation statements)

References 98 publications

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“…The study of nuclear structure and related phenomena is performed using experimental and theoretical observables [8,[24][25][26][27][28]. There are various theoretical models for studying nuclear systems [29].…”

Section: Methods and Resultsmentioning

confidence: 99%

“…However, regarding β eff , the issue of the distance between the data is not discussed. For this reason, we use the method used in [8,66] for unfolding.…”

Section: Nuclei ( ) Bmentioning

confidence: 99%

“…The presence of deformation and similar structures in nuclear systems causes some nuclei to be classified as regular nuclei [1,2]. The statistical study of the structure of nuclei is possible using the random matrix theory (RMT) [3][4][5][6][7][8]. Alhassid and Whelan in [9] (by using the RMT) introduced a regular region in the symmetry triangle [10] of the interacting boson model (IBM) [11].…”

Section: Introductionmentioning

confidence: 99%

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Origin of regularity in different nuclei from the viewpoint of the effective quadrupole deformation and triaxiality

Hosseinnezhad,

Sabri

2024

Phys. Scr.

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This paper presents a theoretical investigation of the possible relation between the regularity of nuclei and the quadrupole deformation of different levels (and also triaxiality). The present paper aims to uncover the underlying physical reasons for this regularity. To this aim, we calculated the effective quadrupole deformation of different levels using the interacting boson model. Also, different ratios between the quadrupole deformations of the energy levels in the ground, beta, and gamma bands are defined. The results for the energy levels confirm the correctness of labeling these states by the quantum numbers of U(5) and SU(3) dynamical symmetry limits (and also the extraction processes). Also, we observed a repetition pattern for these ratios for regular nuclei. Of course, the regularity and sameness of repetition patterns for the levels of the rotational bands are more than the levels of the ground band. For further study, we analyzed the effective quadrupole deformation values of different levels of regular nuclei using random matrix theory. The results show a strong statistical correlation for these quantities and confirm the observed repetition pattern. Also, the results of our studies showed that regular nuclei have triaxial properties.

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Section: Methods and Resultsmentioning

confidence: 99%

“…However, regarding β eff , the issue of the distance between the data is not discussed. For this reason, we use the method used in [8,66] for unfolding.…”

Section: Nuclei ( ) Bmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Origin of regularity in different nuclei from the viewpoint of the effective quadrupole deformation and triaxiality

Hosseinnezhad,

Sabri

2024

Phys. Scr.

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“…. , µ [10,26,58], the hw irrep will contain both the K = 0 (GSB) and K = 2 (γ 1 ) bands [262]. The parameter-free reproduction of the empirical observation (where the energy differences between the γ 1 band and the ground state band decrease as functions of the angular momentum L in deformed nuclei [263], with an opposite trend seen in vibrational and γ-unstable nuclei) should be tested.…”

Section: Discussionmentioning

confidence: 99%

The Proxy-SU(3) Symmetry in Atomic Nuclei

et al. 2023

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The microscopic origins and the current predictions of the proxy-SU(3) symmetry model of atomic nuclei were reviewed. Beginning with experimental evidence for the special roles played by nucleon pairs with maximal spatial overlap, the proxy-SU(3) approximation scheme is introduced; its validity is demonstrated through Nilsson model calculations and its connection to the spherical shell model. The major role played by the highest weight-irreducible representations of SU(3) in shaping up the nuclear properties is pointed out, resulting in parameter-free predictions of the collective variables β and γ for even–even nuclei in the explanation of the dominance of prolate over oblate shapes in the ground states of even–even nuclei, in the prediction of a shape/phase transition from prolate to oblate shapes below closed shells, and in the prediction of specific islands on the nuclear chart in which shape coexistence is confined. Further developments within the proxy-SU(3) scheme are outlined.

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New pattern in regular nuclei based on their experimental quadrupole transition rates and some new candidates

Hosseinnezhad

Seidi

Sabri

2023

Sci Rep

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In this paper, we tried to get a new signature of regular nuclei based on their quadrupole transition rates. We have analyzed the experimental electric quadrupole transition probabilities of well-known "regular nuclei". The results indicate finding specific repetition patterns for E2 transition rates, similar to what has been reported for the energy levels of these nuclei. We also tested the existence of this observed repetition scheme for all known isotopes whose experimental transition rates are available and introduced several new candidates as regular nuclei. Then, the energy spectra (Experimental) of these new suggested "regular nuclei" are investigated in the framework of the Interacting Boson Model, in which the parameters of Hamiltonian confirm the placement of these nuclei in the "Alhassid-Whelan arc of regularity" region. In order to further study the statistical distribution of experimental energy levels related to the electromagnetic transitions we are considering, we studied using the random matrix theory. The results confirmed their regularity.

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The correlation of quadrupole transition rates of deformed nuclei by non-parametric approach

Cited by 3 publications

References 98 publications

Origin of regularity in different nuclei from the viewpoint of the effective quadrupole deformation and triaxiality

Origin of regularity in different nuclei from the viewpoint of the effective quadrupole deformation and triaxiality

The Proxy-SU(3) Symmetry in Atomic Nuclei

New pattern in regular nuclei based on their experimental quadrupole transition rates and some new candidates

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