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 6 publications

(2 citation statements)

References 37 publications

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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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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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“…They correspond to the well-known "limits", vibrational, rotational, and gamma unsteady nuclei. The concept of dynamic symmetry is of a basic significance in the IBM, because it permits the exact and analytic solution of the associated eigenvalue problem for a restricted class of boson Hamiltonians.The interacting boson model is suitable for describing the low-lying collective states in even (N,Z) nuclei by a system of interacting s and d-bosons carrying angular momentum's and respectively [9].The structure of medium mass nuclei are a focus of nuclear structure research [10][11][12][13]. The structure of nuclei with proton numbers 42,44 and 46 and the number of neutrons greater than 50 was for many years a challenge to theoretical explanations because of the fluctuating transition of nuclear properties between the vibrational features and weak-rotational features within and [14,16 ].…”

Section: Introductionmentioning

confidence: 99%

Mixed symmetry states in 96Mo and 98Ru isotones in the framework of interacting boson model

Hady¹,

Kadhim²

2023

3C Empresa

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The software package IBM code for interacting boson model-1 and Neutron Proton Boson NPBOS code for interacting boson model-2 have been used to calculate energy levels for, for by estimating a set of parameters which are used to predict the behavior of even-even isotones within the current scope of work there is clear competition between the two parameters (ε and a2) in isotones, as an inverse relationship. This means that vibrational qualities are continuous mixed with the rotational properties. In interacting boson model-2 parameters(ε, κ, χπ and χν) have been shown similarity with interacting boson model-1 expected. The Majorana parameter effect (ζ2) on the calculated excitation energy level for isotones has been accomplished by vary the ζ2 around the optimum-matches to practical data. The effect of increasing ζ2 on mixing symmetry states is the same in all isotones but different from state to another, we find the state J+ = 23+ was the lowest mixing symmetry states still approximately constant in the all. In that time,isotones have 1+, 3+1, 5+1 mixed symmetry states, rapidly increasing with increasing ζ2. The results of the calculated energy levels were in acceptable agreement with the experimental data. There is no pure vibrational property of these isotones

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The microscopic studies of the even-even 12−28O, 34−60Ca, 48−80Ni, and 100−134Sn using covariant density functional theory

Kumar

Thakur

et al. 2022

Nuclear Physics A

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

Cited by 6 publications

References 37 publications

The Proxy-SU(3) Symmetry in Atomic Nuclei

The Proxy-SU(3) Symmetry in Atomic Nuclei

Mixed symmetry states in 96Mo and 98Ru isotones in the framework of interacting boson model

The microscopic studies of the even-even 12−28O, 34−60Ca, 48−80Ni, and 100−134Sn using covariant density functional theory

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