Deformation properties of osmium, platinum, mercury isotopes from self-consistent calculations: Influence of the pairing treatment

Sauvage-Letessier, J.; Quentin, P.; Flocard, H.

doi:10.1016/0375-9474(81)90074-9

Cited by 54 publications

(14 citation statements)

References 37 publications

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“…In this case, several deformation regimes have been suggested. Previous theoretical investigations [30][31][32][33][34][35] have found triaxial and oblate ground-state shapes for the heaviest Pt isotopes, while for the light ones a prolate deformed regime is predicted. From the experimental point of view [14,16,36], the energy ratio E 4 + /E 2 + is almost 2.5 for Pt nuclei with neutron numbers 110 N 118 already pointing to γ soft shapes.…”

Section: Introductionmentioning

confidence: 83%

“…[8,63] within the HF+BCS framework based on the Skyrme parametrization SLy4 in the particle-hole channel plus a zero range and density-dependent pairing (with strength g = 1000 MeV fm 3 for both protons and neutrons). Both Gogny-D1S and Skyrme-SLy4 represent well-reputed interactions whose reasonable predictive power has already been thoroughly tested all over the nuclear chart, and it is very satisfying to observe how the new parametrizations D1N and D1M, in spite of the relaxation of some of the original constraints in their fitting protocols and their being more oriented to reproducing nuclear masses [52,74], still follow very closely the fine details predicted with Gogny-D1S, Skyrme-SLy4, and other theoretical models [8,22,[30][31][32][33]61,63,93] for an isotopic chain with such a challenging shape evolution.…”

Section: A Mean Field Systematics Of Deformation For 166−204 Ptmentioning

confidence: 89%

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Mean field study of structural changes in Pt isotopes with the Gogny interaction

et al. 2010

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The evolution of the nuclear shapes along the triaxial landscape is studied in the Pt isotopic chain using the self-consistent Hartree-Fock-Bogoliubov approximation based on the Gogny interaction. In addition to the parametrization D1S, the new incarnations D1N and D1M of this force are also included in our analysis to assess to which extent the predictions are independent of details of the effective interaction. The considered range of neutron numbers 88 N 126 includes prolate, triaxial, oblate, and spherical ground-state shapes and serves as a detailed comparison of the predictions obtained with the new sets D1N and D1M against the ones provided by the standard parametrization Gogny-D1S in a region of the nuclear landscape for which experimental and theoretical fingerprints of shape transitions have been found. Structural evolution along the Pt chain is discussed in terms of the deformation dependence of single-particle energies.

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Section: Introductionmentioning

confidence: 83%

Section: A Mean Field Systematics Of Deformation For 166−204 Ptmentioning

confidence: 89%

Mean field study of structural changes in Pt isotopes with the Gogny interaction

et al. 2010

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“…Potential energy surfaces (PES) calculations [54,55,58,63] have predicted a complex shape development from light prolate (with 176pt close to triaxial) to heavier oblate via ysoft nuclei around N= 108. Experimental ground state band E~/E + energy ratios in 178-194pt are mostly close to 2.5 (see Table 7) indicating a )'-soft shape for the ground state of these nuclei.…”

Section: Discussionmentioning

confidence: 99%

“…The only data available is signature splitting in rotational bands, but this may not be directly relevant to the shape of the nuclear ground state. Theoretical calculation of Pt deformation parameters including y have been made for even-even nuclei ( [53][54][55][56][57][58] and Refs. therein) and odd-A by Wyss [22].…”

Section: Particle-triaxial Rotor Calculationmentioning

confidence: 99%

Ground-state properties of neutron-deficient platinum isotopes

Hilberath

Becker

Bollen

et al. 1992

Z. Physik A - Hadrons and Nuclei

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The hyperfine structure splitting and the isotope shift in the ,~ = 266 nm transition of Pt isotopes within the mass range 183 _< A ~< 198 have been determined by Resonance Ionization Mass Spectroscopy (RIMS) in combination with Pulsed-Laser Induced Desorption (PLID). The Pt isotopes were obtained at the on-line isotope separator ISOLDE-3/CERN as daugthers of the primarily produced Hg isotopes. Magnetic moments, quadrupole moments, and changes in the mean-square charge radii are deduced and compared with results of a particle-triaxial rotor model and mean field calculations. Good agreement with experimental data (including nuclear level schemes and transition probabilities) can only be obtained if triaxial shape is admitted. The calculations yield a smooth transition in the shape of odd-A Pt nuclei from a slightly deformed, nearly oblate ~95pt via triaxial 193-187pt to a strongly deformed nearly prolate t77pt.

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“…Thus it is not well suited for systematic surveys. One can compute an average pairing gap from the state-dependent gap α using a weight that is sensitive to the region about the Fermi surface [30,41,42] …”

Section: B Selection Of Fit Observablesmentioning

confidence: 99%

Variations on a theme by Skyrme: A systematic study of adjustments of model parameters

et al. 2009

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We present a survey of the phenomenological adjustment of the parameters of the Skyrme-Hartree-Fock (SHF) model for a self-consistent description of nuclear structure and low-energy excitations. A large sample of reliable input data from nuclear bulk properties (energy, radii, surface thickness) is selected guided by the criterion that ground-state correlations should remain small. Least-squares fitting techniques are used to determine the SHF parameters that accommodate best the given input data. The question of the predictive value of the adjustment is scrutinized by performing systematic variations with respect to chosen nuclear matter properties (incompressibility, effective mass, symmetry energy, and sum-rule enhancement factor). We find that the ground-state data, although representing a large sample, leave a broad range of choices, i.e., a broad range of nuclear matter properties. Information from giant resonances is added to pin down more precisely the open features. We then apply the set of newly adjusted parametrizations to several more detailed observables such as neutron skin, isotope shifts, and super-heavy elements. The techniques of least-squares fitting provide safe estimates for the uncertainties of such extrapolations. The systematic variation of forces allows to disentangle the various influences on a given observable and to estimate the predictive value of the SHF model. The results depend very much on the observable under consideration.

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Deformation properties of osmium, platinum, mercury isotopes from self-consistent calculations: Influence of the pairing treatment

Cited by 54 publications

References 37 publications

Mean field study of structural changes in Pt isotopes with the Gogny interaction

Mean field study of structural changes in Pt isotopes with the Gogny interaction

Ground-state properties of neutron-deficient platinum isotopes

Variations on a theme by Skyrme: A systematic study of adjustments of model parameters

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