Shape evolution in Kr, Zr, and Sr isotopic chains in covariant density functional theory

Abusara, H.; Ahmad, Shakeb

doi:10.1103/physrevc.96.064303

Cited by 38 publications

(46 citation statements)

References 81 publications

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“…The interplay between both mechanisms leads to the shape-phase transition in the Zr isotopic chain, which takes place between N = 58 and N = 60. Extensive theoretical studies within the IBM and the mean-field approach [32,33] describe the shape evolution in the whole mass region reasonably well and point out the uniquely pronounced, fast structural change of Zr isotopes.…”

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confidence: 84%

Sub-shell closure and shape coexistence in the transitional nucleus Zr98

et al. 2018

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In the rapid shape change from spherical to deformed nuclei in the Z = 40 Zr isotopic chain, recent work has identified shape coexistence in 96 Zr. Between 96 Zr and the strongly-deformed 100 Zr, 98 Zr is expected to also exhibit coexistence of nuclear shapes. The degree of mixing between different configurations is mainly determined by the nucleon-nucleon interactions. For nuclear model predictions, experimental constraints are needed, but barely available for 98 Zr. To study low-lying transitions in 98 Zr, a Coulomb excitation experiment was conducted at the ATLAS facility at ANL using a 98 Zr beam extracted from the CARIBU ion source and GRETINA for γ-ray spectroscopy coupled to CHICO2 for ion detection. This paper reports on the first decisive deduction of the B(E2; 2 + 1 → 0 + 1) transition strength in 98 Zr and on its interpretation.

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confidence: 84%

Sub-shell closure and shape coexistence in the transitional nucleus Zr98

et al. 2018

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“…The potential energy surface (PES) study as a function of the quadrupole deformation parameter is performed by the method of quadratic constraint 52 (see Ref. 53 for more details). Energies are normalized with respect to the binding energy of the global minimum such that the ground state has a zero MeV energy.…”

Section: Quadrupole Deformationmentioning

confidence: 99%

Ground state properties and shape evolution in Pt isotopes within the covariant density functional theory

Bassem

Oulne

2019

Int. J. Mod. Phys. E

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In this work, the ground-state properties of the platinum isotopic chain, 160−238 Pt are studied within the covariant density functional theory. The calculations are carried out for a large number of even-even Pt isotopes by using the density-dependent pointcoupling and the density dependent meson-exchange effective interactions. All groundstate properties such as the binding energy, separation energy, two-neutron shell gap, rms-radii for neutrons and protons and quadrupole deformation are discussed and compared with available experimental data, and with the predictions of some nuclear models such as the Relativistic Mean Field (RMF) model with NL3 functional and the Hartree Fock Bogoliubov (HFB) method with SLy4 Skyrme force. The shape phase transition for Pt isotopic chain is also studied. Its corresponding total energy curves as well as the potential energy surfaces confirm the transition from prolate to oblate shapes at 188 Pt contrary to some studies predictions and in agreement with others. Overall, a good agreement is found between the calculated and experimental results wherever available.

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“…the interaction Gogny-D1S has also been used and an oblate-prolate transition is observed, passing from A = 98 to A = 100, resulting in a prolate shape with β ≈ 0.44 for 100 Zr. In[71] a relativistic EDF is considered, obtaining a general prolate-oblate coexistence for the deformed part of the Zr chain and, in the case of 100 Zr, also a spherical-prolate coexistence. Moreover, in the heaviest isotope the deepest minimum corresponds to the oblate one.In summary, a comparison between the realistic mean-field calculations and the IBM-However, in the IBM only the spherical and the prolate minima are present, which seems to be a limitation of the used approach.Most of the realistic mean-field calculations present an oblate shape (global minimum) for the heaviest isotopes while the IBM energy surface calculations always generate a prolate one.…”

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confidence: 99%

Subtle connection between shape coexistence and quantum phase transition: The Zr case

García‐Ramos

Heyde

2020

Phys. Rev. C

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Background: Zr region is characterized by very rapid changes in the ground state structure of the nuclei. In particular, the onset of deformation when passing from 98 Zr to 100 Zr is one of the fastest ever observed in the nuclear chart. It has been probed both experimental and theoretically that certain low-lying excited states of Zr isotopes own different shapes than the ground state. Purpose: We intend to disentangle the interplay between the sudden changes in the ground state shape, i.e., the existence of a quantum phase transition, and the presence in the spectra of coexisting states with very different deformation, i.e., the presence of shape coexistence. Method: We rely on a previous calculation using the Interacting Boson Model with Configuration Mixing (IBM-CM) which reproduces in detail the spectroscopic properties of 96−110 Zr. This IBM-CM calculation allows to compute mean-field energy surfaces, wave functions and any other observable related with the presence of shape coexistence or with a quantum phase transition. Results: We obtain energy surfaces and the equilibrium value of the deformation parameter β, the U(5) decomposition of the wave functions and the density of states. Conclusions: We confirm that Zr is a clear example of quantum phase transition that originates from the crossing of two configurations with a very different degree of deformation. Moreover, we observe how the intruder configuration exhibits its own evolution which resembles a quantum phase transition too.

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Shape evolution in Kr, Zr, and Sr isotopic chains in covariant density functional theory

Cited by 38 publications

References 81 publications

Sub-shell closure and shape coexistence in the transitional nucleus Zr98

Sub-shell closure and shape coexistence in the transitional nucleus Zr98

Ground state properties and shape evolution in Pt isotopes within the covariant density functional theory

Subtle connection between shape coexistence and quantum phase transition: The Zr case

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