Shape transitions and shell structure study in zirconium, molybdenum and ruthenium

Thakur, Smriti; Kumar, Pankaj; Thakur, Virender; Kumar, Vikesh; Dhiman, Shashi K.

doi:10.1016/j.nuclphysa.2021.122254

Cited by 9 publications

(10 citation statements)

References 37 publications

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“…The [166][167][168][169][170] Hf 94-98 isotopes have attracted considerable attention, since they lie close to the Nd, Sm, Gd, and Dy N = 90 isotones, which are considered as manifestations of the X(5) CPS. Experimental investigations in 166 Hf 94 [379,380] have shown reasonable agreement of spectra and B(E2)s to the X(5) CPS, which is using an infinite square well potential in the β collective variable, while in 168 Hf 96 [381] a Davidson potential appears to provide better results, and in 170 Hf 98 [282,382] a sextic potential possessing two minima appears to be the most appropriate one.…”

Section: The Hf (Z = 72) Isotopesmentioning

confidence: 99%

Shape Coexistence in Even–Even Nuclei: A Theoretical Overview

Bonatsos,

Martinou,

Peroulis

et al. 2023

Atoms

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The last decade has seen a rapid growth in our understanding of the microscopic origins of shape coexistence, assisted by the new data provided by the modern radioactive ion beam facilities built worldwide. Islands of the nuclear chart in which shape coexistence can occur have been identified, and the different microscopic particle–hole excitation mechanisms leading to neutron-induced or proton-induced shape coexistence have been clarified. The relation of shape coexistence to the islands of inversion, appearing in light nuclei, to the new spin-aligned phase appearing in N=Z nuclei, as well as to shape/phase transitions occurring in medium mass and heavy nuclei, has been understood. In the present review, these developments are considered within the shell-model and mean-field approaches, as well as by symmetry methods. In addition, based on systematics of data, as well as on symmetry considerations, quantitative rules are developed, predicting regions in which shape coexistence can appear, as a possible guide for further experimental efforts that can help in improving our understanding of the details of the nucleon–nucleon interaction, as well as of its modifications occurring far from stability.

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Section: The Hf (Z = 72) Isotopesmentioning

confidence: 99%

Shape Coexistence in Even–Even Nuclei: A Theoretical Overview

Bonatsos,

Martinou,

Peroulis

et al. 2023

Atoms

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“…Further corroboration of the predictions of the dual shell mechanism was provided by various relativistic microscopic calculations [241][242][243][244][245][246], as well as by calculations using the Bohr Hamiltonian [246,247] and the IBM [248].…”

Section: From Stripes To Islands Of Shape Coexistencementioning

confidence: 63%

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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“…) is suitable for describing the low-lying collective states in even-even nuclei by a system of interacting s-and d-bosons carrying angular momentum's and , respectively .The is built on a closed shell, Thus, it can be seen that the bosons are equal to the pairs of nucleons according to the most reliable atomic image. The s-boson is significant because of its shrill join with the nucleon and the nucleon in comparable elements [10][11][12]. In addition, the Hamiltonian results through this planetary using influential active group models and systems‫و‬The boson-boson interacting energy can be written as [1][2][3][4][5]:-…”

Section: Interacting Boson Model1mentioning

confidence: 99%

Study of geometrical properties of 96Mo, 98Ru and 100Pd isotones within interacting boson model

Hady

Kadhim²

2023

JK-Physics

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The software package for interacting boson model-1 and for the geometrical boson model has been used to calculate energy levels and potential energy surfaces for and by estimating a set of parameters which are used to predict the behavior of even-even and isotones. According to a framework, the interaction is prominent between the two parameters (and). This means that vibrational structures are constant rises with opposite of rotational. Thus, the potential energy surfaces are considered as a pointer of and distortions for even-even and isotones. The behaviors of the potential energy surfaces with minimum β (-0.84356,- 0.39928, and -0.19045) have circular contours centered at this point that indicates a good agreement with the typical axially symmetric limits. The results of the calculated energy levels were in acceptable agreement with the experimental data. There is no pure vibrational property of these isotones which is clearly shown in the behavior of potential energy surfaces.

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Shape transitions and shell structure study in zirconium, molybdenum and ruthenium

Cited by 9 publications

References 37 publications

Shape Coexistence in Even–Even Nuclei: A Theoretical Overview

Shape Coexistence in Even–Even Nuclei: A Theoretical Overview

The Proxy-SU(3) Symmetry in Atomic Nuclei

Study of geometrical properties of 96Mo, 98Ru and 100Pd isotones within interacting boson model

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