<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>B</mml:mi><mml:mo>(</mml:mo><mml:mi>E</mml:mi><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>strength ratio of one-phonon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:msup></mml:math>states of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow /><mml:mn>94</mml:mn></mml:msup></mml:math>Zr from electron scattering at low momentum transf

Obeid, Abdulrahman Scheikh; Aslanidou, S.; Birkhan, J.; Krugmann, A.; Neumann-Cosel, P. vonÂ; Pietralla, N.; Poltoratska, I.; Ponomarev, V. Yu.

doi:10.1103/physrevc.89.037301

Cited by 6 publications

(6 citation statements)

References 16 publications

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“…For mass A = 94, besides the [14] compilation, recent information has been obtained from lifetime data using neutron scattering [15,16] as well as the B(E2) values extracted from inelastic electron scattering at low momentum transfer into the 2 + 1,2 states. This allowed a comparison with the data obtained at the Kentucky facility from neutron inelastic scattering such as branching ratios, multipole mixing ratios, and spin assignments indicating very much the same results, however with an increased precision [17,18]. For mass A = 96, the major part of data can be found in the compilation [19], moreover, data on g-factors have been determined by Coulomb excitation of 96 Zr beams in inverse kinematics.…”

Section: Evidences Of Shape Coexistence In Zr Nucleimentioning

confidence: 86%

“…As next step we perform a least-squares fit using the value of β extracted from the quadrupole shape invariants and the value of β B from IBM corresponding to the minimum of the mean-field energy surface. This procedure leads to the following values of the fitting coefficients including its respective errors δ = 1.98 (15), ξ = 0.110 (17).…”

Section: A Mean-field Energy Surfaces and The Evolution Of Deformationmentioning

confidence: 99%

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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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Section: Evidences Of Shape Coexistence In Zr Nucleimentioning

confidence: 86%

Section: A Mean-field Energy Surfaces and The Evolution Of Deformationmentioning

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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“…90 Zr Warwick et al[28], Garrett et al[29] 92 Zr Baglin [17], Sugawara et al[30] 94 Zr Abriola and Sonzogni [18], Chakraborty et al[31], Peters et al[32], Scheikh Obeid et al[33], Elhami et al[34], Julin et al[35] 96 Zr Abriola and Sonzogni [19], Kumbartzki et al[36], Alanssari et al[37], Kremer et al[38], Pietralla et al[39], Kumbartzki et al[36], Sazonov et al[40], Witt et al[41] …”

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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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“…The number of detected counts A i for each excited state i can be determined by a χ 2 minimization using an empirical line shape tailored to electron scattering experiments [11]. The extracted peak areas allow to determine the strength of the 0 + 1 → 2 + 2 transition relative to that of the 0 + 1 → 2 + 1 transition using a Plane Wave Born Approximation (PWBA) [12,13] (cf. Fig.…”

mentioning

confidence: 99%

“…where R F (q) denotes a ratio of kinematical factors [12,13], R tr,1 is the transition radius of the 2 + 1 state, ∆R = R tr,2 − R tr,1 , and k 1 and k 2 denote the photon point momentum transfers for the excitation of 2 + 1 and 2 + 2 states. A χ 2 minimization of Eq.…”

mentioning

confidence: 99%

First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of Zr96

et al. 2016

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B(E2)strength ratio of one-phonon2+states of94Zr from electron scattering at low momentum transf

Abstract: Background: The B(E2) transition strength to the 2

Cited by 6 publications

References 16 publications

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

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

Quest of shape coexistence in Zr isotopes

First Measurement of Collectivity of Coexisting Shapes Based on Type II Shell Evolution: The Case of Zr96

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