Structural evolution in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>A</mml:mi><mml:mo>≈</mml:mo><mml:mn>100</mml:mn></mml:mrow></mml:math>nuclei within the mapped interacting boson model based on the Gogny energy density functional

Nomura, K.; Rodrı́guez-Guzmán, R.; Robledo, L. M.

doi:10.1103/physrevc.94.044314

Cited by 84 publications

(102 citation statements)

References 70 publications

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“…Extensive discussions concerning shape evolution in the Kr, Zr and Sr isotopes have been carried out using covariant density functional theory (CDFT) within the relativistic HFB picture. Nomura et al [88] also showed that starting from the Gogny energy density No spectroscopic data are calculated but the mean-field is used to construct an IBM-CM Hamiltonian through a mapping of the energy surface onto the IBM-CM energy surface.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Quest of shape coexistence in Zr isotopes

García‐Ramos

Heyde

2019

Phys. Rev. C

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Background: The mass region with A ≈ 100 and Z ≈ 40 is known to experience a sudden onset of deformation. The presence of the subshell closure Z = 40 makes feasible to create particle-hole excitations at a moderate excitation energy and, therefore, likely intruder states could be present in the low-lying spectrum. In other words, shape coexistence is expected to be a key ingredient to understand this mass region.Purpose: The aim of this work is to describe excitation energies, transition rates, radii, and twoneutron separation energies for the even-even 94−110 Zr nuclei and, moreover, to obtain information about wave functions and deformation.Method: The interacting boson model with configuration mixing will be the framework to study the even-even Zr nuclei, considering only two types of configurations: 0particle-0hole and 2particle-2hole excitations. On one hand, the parameters appearing in the Hamiltonian and in the E2 transition operator are fixed trough a least-squares fit to the whole available experimental information. On the other hand, once the parameters have been fixed, the calculations allow to obtain a complete set of observables for the whole even-even Zr chain of isotopes.Results: Spectra, transition rates, radii, ρ 2 (E0), and two-neutron separation energies have been calculated and a good agreement with the experimental information has been obtained. Moreover, a detailed study of the wave function has been conducted and mean-field energy surfaces and deformation have been computed too.Conclusions: The importance of shape coexistence has been shown to correctly describe the A ≈ 100 mass area for even-even Zr nuclei. This work confirmed the rather spherical nature of the ground state of 94−98 Zr and its deformed nature for 100−110 Zr isotopes. The sudden onset of deformation in 100 Zr is owing to the rapid lowering of a deformed (intruder) configuration which is high-lying in lighter isotopes. 21.60.Fw

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Section: Theoretical Frameworkmentioning

confidence: 99%

Quest of shape coexistence in Zr isotopes

García‐Ramos

Heyde

2019

Phys. Rev. C

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“…[24,25]. This work was supported by NuPNET and the German BMBF by Contracts 05P12PKNUF and 05P12DRNUP, the Spanish MINECO via Projects FPA2010-17142, CPAN (CSD 2007-00042) and PRI-PIMNUP-2011-1338 within the ERA-NET NuPNET call for translational joint activities, the UK STFC Contract No.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Abrupt shape transition at neutron number N=60 : B(E2) values in Sr
Régis¹,
Jolie²,
Saed-Samii³
et al. 2017
Phys. Rev. C
34
2
27
0
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Lifetimes of low-lying yrast states in neutron-rich 94,96,98 Sr have been measured by Germanium-gated γ -γ fast timing with LaBr3(Ce) detectors using the EXILL&FATIMA spectrometer at the Institut Laue-Langevin. Sr fission products were generated using cold-neutron-induced fission of 235 U and stopped almost instantaneously within the thick target. The experimental B(E2) values are compared with results of Monte Carlo shell-model calculations made without truncation on the occupation numbers of the orbits spanned by eight proton and eight neutron orbits and show good agreement. Similarly to the Zr isotopes, the abrupt shape transition in the Sr isotopes near neutron number N = 60 is identified as being caused by many-proton excitations to its g 9/2 orbit.

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“…These nuclei are among those with N ≃ 70 and A ≃ 110 which show interesting nuclear structure properties, such as drastic changes in shapes with A and shape coexistences [40,42,49,51,63,64,94,[124][125][126][127][128][129][130][131][132][133][134][135][136][137][138][139][140][141]. The structures of nuclei around N = 70 are also of particular interest for nuclear astrophysics because neutron-rich nuclei with A ≃ 110 are around the r-process path, which is determined by the equilibrium between neutron capture and photodisintegration [142][143][144][145][146][147][148][149][150][151][152].…”

Section: Resultsmentioning

confidence: 99%

Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

et al. 2017

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We develop a multidimensionally constrained relativistic Hartree-Bogoliubov (MDC-RHB) model in which the pairing correlations are taken into account by making the Bogoliubov transformation. In this model, the nuclear shape is assumed to be invariant under the reversion of x and y axes; i.e., the intrinsic symmetry group is V4 and all shape degrees of freedom β λµ with even µ are included self-consistently. The RHB equation is solved in an axially deformed harmonic oscillator basis. A separable pairing force of finite range is adopted in the MDC-RHB model. The potential energy curves of neutron-rich even-even Zr isotopes are calculated with relativistic functionals DD-PC1 and PC-PK1 and possible tetrahedral shapes in the ground and isomeric states are investigated. The ground state shape of 110 Zr is predicted to be tetrahedral with both functionals and so is that of 112 Zr with the functional DD-PC1. The tetrahedral ground states are caused by large energy gaps around Z = 40 and N = 70 when β32 deformation is included. Although the inclusion of the β30 deformation can also reduce the energy around β20 = 0 and lead to minima with pear-like shapes for nuclei around 110 Zr, these minima are unstable due to their shallowness.

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Structural evolution inA≈100nuclei within the mapped interacting boson model based on the Gogny energy density functional

Cited by 84 publications

References 70 publications

Quest of shape coexistence in Zr isotopes

Quest of shape coexistence in Zr isotopes

Abrupt shape transition at neutron number N=60 : B(E2) values in Sr
Régis¹,
Jolie²,
Saed-Samii³
et al. 2017
Phys. Rev. C
34
2
27
0
View full text Add to dashboard Cite

Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

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Structural evolution inA≈100nuclei within the mapped interacting boson model based on the Gogny energy density functional

Cited by 84 publications

References 70 publications

Quest of shape coexistence in Zr isotopes

Quest of shape coexistence in Zr isotopes

Abrupt shape transition at neutron number N=60 : B(E2) values in SrRégis1, Jolie2, Saed-Samii3 et al. 2017Phys. Rev. C342270View full textAdd to dashboardCite

Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

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About

Abrupt shape transition at neutron number N=60 : B(E2) values in Sr
Régis¹,
Jolie²,
Saed-Samii³
et al. 2017
Phys. Rev. C
34
2
27
0
View full text Add to dashboard Cite