Towards a unified microscopic description of nuclear deformation

Federman, P.; P̧ittel, S.

doi:10.1016/0370-2693(77)90825-5

Cited by 316 publications

(195 citation statements)

References 15 publications

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“…Quantum phase transitions occur in atomic nuclei as a function of the number of protons or neutrons and describe changes of the ground-state shapes [2]. The so-called A % 100 mass region of the nuclear chart around 100 Zr is one of the most popular regions for the study of this phenomenon since the zirconium (Z ¼ 40) and strontium (Z ¼ 38) isotopes undergo a shape transition from almost spherical to strongly deformed shapes when going from neutron number N ¼ 58 to N ¼ 60 [3][4][5][6][7]. This PRL 108, 062701 (2012) P…”

mentioning

confidence: 99%

Evidence for a Smooth Onset of Deformation in the Neutron-Rich Kr Isotopes

Albers¹,

Warr²,

Nomura³

et al. 2012

Phys. Rev. Lett.

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The neutron-rich nuclei 94;96 Kr were studied via projectile Coulomb excitation at the REX-ISOLDE facility at CERN. Level energies of the first excited 2 þ states and their absolute E2 transition strengths to the ground state are determined and discussed in the context of the Eð2 þ 1 Þ and BðE2; 2 þ 1 ! 0 þ 1 Þ systematics of the krypton chain. Contrary to previously published results no sudden onset of deformation is observed. This experimental result is supported by a new proton-neutron interacting boson model calculation based on the constrained Hartree-Fock-Bogoliubov approach using the microscopic Gogny-D1M energy density functional. DOI: 10.1103/PhysRevLett.108.062701 PACS numbers: 25.70.De, 27.60.+j, 29.30.Kv, 29.38.Gj Since the availability of high-intensity radioactive ion beams, the extension of the concept of quantum phase transitions to exotic nuclei is of great interest in nuclear physics [1]. Quantum phase transitions occur in atomic nuclei as a function of the number of protons or neutrons and describe changes of the ground-state shapes [2]. The so-called A % 100 mass region of the nuclear chart around 100 Zr is one of the most popular regions for the study of this phenomenon since the zirconium (Z ¼ 40) and strontium (Z ¼ 38) isotopes undergo a shape transition from almost spherical to strongly deformed shapes when going from neutron number N ¼ 58 to N ¼ 60 [3][4][5][6][7]. This

show abstract

mentioning

confidence: 99%

Evidence for a Smooth Onset of Deformation in the Neutron-Rich Kr Isotopes

Albers¹,

Warr²,

Nomura³

et al. 2012

Phys. Rev. Lett.

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“…For the known cases given in literature, the results are consistent within the experimental uncertainties. A new lifetime result for the 4 1 phase transition occurs also in Sr isotopes similarly to the Zr isotopes at N = 60, as a consequence of the type II shell evolution involving many proton particle-hole excitations to the g 9/2 orbit from the pf shell. A comparison with three published energy density functional based calculations yields the best agreement when using the SLy4 force.…”

Section: Discussionmentioning

confidence: 83%

“…In a spherical shell-model approach, this phenomenon was first explained by the fact that once the neutron νg 7/2 orbit is being filled, the proton subshell suddenly disappears due to the νg 7/2 -πg 9/2 interaction [1]. In a Nilsson approach, the phenomenon was explained by strongly interacting proton and neutron Nilsson orbits ( [2] and references therein).…”

Section: Introductionmentioning

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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“…Despite intensive e↵ort, the theoretical description of these structural changes is not yet fully understood and the mechanisms that drive structural evolution di↵er between models. Within the shell-model picture, the tensor and central forces modify single-particle energies via interactions between valence proton and neutron orbitals according to their filling and relative spin-to-orbital orientation [3,[11][12][13][14][15][16][17][18]. In a mean-field conception, spherical shell gaps may be modified far from stability by increased surface di↵useness.…”

mentioning

confidence: 99%

Are There Signatures of Harmonic Oscillator Shells Far from Stability? First Spectroscopy of Zr110

Paul¹,

Corsi²,

Obertelli³

et al. 2017

Phys. Rev. Lett.

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The first measurement of the low-lying states of the neutron-rich 110 Zr and 112 Mo was performed via in-beam -ray spectroscopy after one proton removal on hydrogen at ⇠200 MeV/nucleon. The 2 + 1 excitation energies were found at 185(11) keV in 110 Zr, and 235(7) keV in 112 Mo, while the R42=E(4 + 1 )/E(2 + 1 ) ratios are 3.1(2), close to the rigid rotor value, and 2.7(1), respectively. These results are compared to modern energy density functional based configuration mixing models using Gogny and Skyrme e↵ective interactions. We conclude that first levels of 110 Zr exhibit a rotational behavior, in agreement with previous observations of lighter zirconium isotopes as well as with the most advanced Monte Carlo Shell Model predictions. The data therefore do not support a harmonic oscillator shell stabilization scenario at Z=40 and N=70. The present data also invalidate predictions for a tetrahedral ground state symmetry in 110 Zr.Nuclei, like atoms, manifest quantized energy states that can be interpreted in terms of an underlying shell structure-a convenient but non-observable theoretical construct [1,2]. Within the classical picture, large gaps between adjacent shells give rise to particularly stable configurations whose proton and neutron numbers are traditionally called "magic" [3]. The magic numbers for stable nuclei were first successfully described by invoking a one-body square-well and spin-orbit potential [4,5]; the latter was eventually replaced by a harmonic oscillator potential with l 2 term to obtain proper angular momentum splittings [6]. However, studies of radioactive nuclei over the past decades have shown that the magic numbers are not universal across the nuclear chart [7][8][9][10]. Despite intensive e↵ort, the theoretical description of these structural changes is not yet fully understood and the mechanisms that drive structural evolution di↵er between models. Within

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Towards a unified microscopic description of nuclear deformation

Cited by 316 publications

References 15 publications

Evidence for a Smooth Onset of Deformation in the Neutron-Rich Kr Isotopes

Evidence for a Smooth Onset of Deformation in the Neutron-Rich Kr 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

Are There Signatures of Harmonic Oscillator Shells Far from Stability? First Spectroscopy of Zr110

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Towards a unified microscopic description of nuclear deformation

Cited by 316 publications

References 15 publications

Evidence for a Smooth Onset of Deformation in the Neutron-Rich Kr Isotopes

Evidence for a Smooth Onset of Deformation in the Neutron-Rich Kr 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

Are There Signatures of Harmonic Oscillator Shells Far from Stability? First Spectroscopy of Zr110

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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