Deformation in 92−128Pd isotopes

Hosseinnezhad, A.; Majarshin, A. Jalili; Luo, Yan; Ahmadian, D.; Sabri, H.

doi:10.1016/j.nuclphysa.2022.122523

Cited by 5 publications

(9 citation statements)

References 99 publications

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“…The first four nuclei appearing in table 2 are not deformed. So, we use the U(5) dynamic limit for the calculation of the q 2 [22].…”

Section: Methods and Resultsmentioning

confidence: 99%

“…Equation ( 5) is obtained by the effect of the creation and annihilation operators on the U(5) limit eigenfunction [11,22,23]. To calculate the q , 2 we use the Wigner-Eckart theorem and the Clebsch-Gordan coefficients [22]:…”

Section: Methods and Resultsmentioning

confidence: 99%

“…To calculate the expectation value of q 2 in the SU(3) dynamic limit, we use the following equation [22]:…”

Section: Methods and Resultsmentioning

confidence: 99%

“…Similarly with equations (5), ( 7) is obtained by the effect of the creation and annihilation operators on the SU(3) limit eigenfunction [11,22,23]. To know how to determine quantum numbers K, l and L, refer to [30][31][32][33].…”

Section: Methods and Resultsmentioning

confidence: 99%

“…Also, D. Cline et al studied this issue more widely in their articles [20,21]. Using the IBM, we calculated the effective quadrupole deformation of different levels (for the respective isotopes) in [22,23].…”

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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“…The first four nuclei appearing in table 2 are not deformed. So, we use the U(5) dynamic limit for the calculation of the q 2 [22].…”

Section: Methods and Resultsmentioning

confidence: 99%

Section: Methods and Resultsmentioning

confidence: 99%

“…To calculate the expectation value of q 2 in the SU(3) dynamic limit, we use the following equation [22]:…”

Section: Methods and Resultsmentioning

confidence: 99%

Section: Methods and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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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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Nuclear shape evolution in even-even Pd isotopic chain

El Bassem,

El Adri,

El Batoul

et al. 2024

Phys. Scr.

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The covariant density functional theory is utilized to examine the evolution of shape in even-even 96−130Pd isotopes by using the density-dependent meson-exchange DD-ME2 and the density-dependent point-coupling DD-PC1. This research is carried out by considering the evolution of the ground-state shapes derived from calculations of the axial and triaxial potential energy surfaces. The shape transition in the palladium isotopic chain is very clearly manifested. In addition, various ground-state properties including binding energy, charge radii, two-neutron separation energy, and two-neutron shell gap have been calculated and have been observed to closely match the existing experimental data. Moreover, a robust shell closure is distinctly observed at the magic neutron number N = 82.

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Deformation in 92−128Pd isotopes

Cited by 5 publications

References 99 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

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

Nuclear shape evolution in even-even Pd isotopic chain

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