Consistent description of nuclear charge radii and electric monopole transitions

Zerguine, S.; Isacker, P. Van; Bouldjedri, A.

doi:10.1103/physrevc.85.034331

Cited by 30 publications

(44 citation statements)

References 63 publications

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“…Once the parameters appearing in (14) have been fixed, it is also possible to calculate the ρ 2 (E0) transition rates, as shown in [123]. In particular, the transition operator can be defined as,…”

Section: A Radii Isotopic Shifts and E0 Transitionsmentioning

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: A Radii Isotopic Shifts and E0 Transitionsmentioning

confidence: 99%

Quest of shape coexistence in Zr isotopes

García‐Ramos

Heyde

2019

Phys. Rev. C

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“…The isotope shift depends on two parameters, α = 0.235, η = 0.264 fm 2 , whose values are fixed by the procedure of Ref. [34,35]. ∆ r 2 0 + 1 should increase at the transition point and decrease and, as seen in Figure 6 Similarly, the two-neutron separation energies S 2n can be written as [21],…”

Section: Empirical Signaturesmentioning

confidence: 99%

Intertwined quantum phase transitions in the Zr isotopes

2019

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We present a detailed analysis of spectra and other observables for the entire chain of Zr isotopes, from neutron number 52 to 70, in the framework of the interacting boson model with configuration mixing. The results suggest a remarkable interplay of multiple quantum phase transitions (QPTs).One type of QPT involves an abrupt crossing of normal and intruder configurations, superimposed on a second type of QPT involving gradual shape-changes within each configuration.

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“…In recent years the IBM has been used with considerable success in spectroscopic studies [15][16][17][18][19] of a large set of nuclei with proton and neutron numbers in the range Z = 50-82 and N = 82-126, respectively. However, those studies are rather phenomenological because the parameters of the IBM Hamiltonian are determined by a fit to known experimental data.…”

Section: Introductionmentioning

confidence: 99%

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C

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Background:The available data for E2 transition strengths in the region between neutron-deficient hafnium and platinum isotopes are far from complete. More and precise data are needed to enhance the picture of structure evolution in this region and to test state-of-the-art nuclear models. In a simple model, the maximum collectivity is expected at the middle of the major shell. However, for actual nuclei, particularly in heavy-mass regions, which should be highly complex, this picture may no longer be the case, and one should use a more realistic nuclear-structure model. We address this point by studying the spectroscopy of Hf as a representative case. Purpose: We remeasure the 2 + 1 half-lives of 172,174,176 Hf, for which there is some disagreement in the literature. The main goal is to measure, for the first time, the half-lives of higher-lying states of the rotational band. The new results are compared to a theoretical calculation for absolute transition strengths. Method: The half-lives were measured using γ -γ and conversion-electron-γ delayed coincidences with the fast timing method. For the determination of half-lives in the picosecond region, the generalized centroid difference method was applied. For the theoretical calculation of the spectroscopic properties, the interacting boson model is employed, whose Hamiltonian is determined based on microscopic energy-density functional calculations.

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Consistent description of nuclear charge radii and electric monopole transitions

Cited by 30 publications

References 63 publications

Quest of shape coexistence in Zr isotopes

Quest of shape coexistence in Zr isotopes

Intertwined quantum phase transitions in the Zr isotopes

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C

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Consistent description of nuclear charge radii and electric monopole transitions

Cited by 30 publications

References 63 publications

Quest of shape coexistence in Zr isotopes

Quest of shape coexistence in Zr isotopes

Intertwined quantum phase transitions in the Zr isotopes

Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,Rüdigier1, Nomura2, Dannhoff3 et al. 2015Phys. Rev. C

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Evolution ofE2transition strength in deformed hafnium isotopes from new measurements onHf172,
Rüdigier
¹
,
Nomura
²
,
Dannhoff
³

et al. 2015
Phys. Rev. C