Global microscopic calculations of ground-state spins and parities for odd-mass nuclei

Bonneau, L.; Quentin, P.; Möller, P.

doi:10.1103/physrevc.76.024320

Cited by 68 publications

(70 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is roughly the proportion as found in the very extensive survey of Ref. [27]. If we calculated the theoretical ∆ (3) demanding that the j z agree with the observed ground state spin, the values would be some somewhat larger.…”

Section: B Deformed Nucleimentioning

confidence: 74%

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

2012

View full text Add to dashboard Cite

As part of a program to study odd-A nuclei in the Hartree-Fock-Bogoliubov (HFB) theory, we have developed a new calculational tool to find the HFB minima of odd-A nuclei based on the gradient method and using interactions of Gogny's form. The HFB minimization includes both time-even and time-odd fields in the energy functional, avoiding the commonly used "filling approximation". Here we apply the method to calculate neutron pairing gaps in some representative isotope chains of spherical and deformed nuclei, namely the Z = 8, 50 and 82 spherical chains and the Z = 62 and 92 deformed chains. We find that the gradient method is quite robust, permitting us to carry out systematic surveys involving many nuclei. We find that the time-odd field does not have large effect on the pairing gaps calculated with the Gogny D1S interaction. Typically, adding the T-odd field as a perturbation increases the pairing gap by 100 keV, but the re-minimization brings the gap back down. This outcome is very similar to results reported for the Skyrme family of nuclear energy density functionals. Comparing the calculated gaps with the experimental ones, we find that the theoretical errors have both signs implying that the D1S interaction has a reasonable overall strength. However, we find some systematic deficiencies comparing spherical and deformed chains and comparing the lighter chains with the heavier ones. The gaps for heavy spherical nuclei are too high, while those for deformed nuclei tend to be too low. The calculated gaps of spherical nuclei show hardly any A-dependence, contrary to the data. Inclusion of the T-odd component of the interaction does not change these qualitative findings.

show abstract

Section: B Deformed Nucleimentioning

confidence: 74%

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

2012

View full text Add to dashboard Cite

show abstract

“…The description of odd-A nuclei involves additional difficulties because the exact blocking procedure requires the breaking of time-reversal invariance, making the calculations more involved [47][48][49][50][51]. In the present study, we use the EFA, a prescription widely used in mean-field calculations to preserve the advantages of time-reversal invariance.…”

Section: Introductionmentioning

confidence: 99%

Shape evolution in yttrium and niobium neutron-rich isotopes

2011

View full text Add to dashboard Cite

The isotopic evolution of the ground-state nuclear shapes and the systematics of one-quasiproton configurations are studied in neutron-rich odd-A yttrium and niobium isotopes. We use a self-consistent Hartree-FockBogoliubov formalism based on the Gogny energy density functional with two parametrizations, D1S and D1M. The equal-filling approximation is used to describe odd-A nuclei preserving both axial and time-reversal symmetries. Shape-transition signatures are identified in the N = 60 isotopes in both the charge radii and spin parities of the ground states. These signatures are a common characteristic for nuclei in the whole mass region. The nuclear deformation and shape coexistence inherent to this mass region are shown to play a relevant role in the understanding of the spectroscopic features of the ground and low-lying one-quasiproton states. Finally, a global picture of the neutron-rich A ∼ 100 mass region from krypton up to molybdenum isotopes is illustrated with the systematics of the nuclear charge radii isotopic shifts.

show abstract

“…Indeed, the calculations within the RHB theory with the NL1 and NL3* parametrizations [41], the HartreeFock+BCS approach with different parametrizations of the Skyrme forces [78] as well as the FRDM model employing phenomenological folded-Yukawa potential [78] show that only approximately 40% of the ground states in odd-mass deformed nuclei are correctly reproduced.…”

Section: A Formalismmentioning

confidence: 99%

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory

2013

View full text Add to dashboard Cite

The cranked relativistic Hartree-Bogoliubov (CRHB) theory has been applied for a systematic study of pairing and rotational properties of actinides and light superheavy nuclei. Pairing correlations are taken into account by the Brink-Booker part of finite range Gogny D1S force. For the first time in the covariant density functional theory (CDFT) framework the pairing properties are studied via the quantities (such as three-point ∆ (3) indicators) related to odd-even mass staggerings. The investigation of the moments of inertia at low spin and the ∆ (3) indicators shows the need for an attenuation of the strength of the Brink-Booker part of the Gogny D1S force in pairing channel. The investigation of rotational properties of even-even and odd-mass nuclei at normal deformation, performed in the density functional theory framework in such a systematic way for the first time, reveals that in the majority of the cases the experimental data are well described. These include the evolution of the moments of inertia with spin, band crossings in the A ≥ 242 nuclei, the impact of the particle in specific orbital on the moments of inertia in odd-mass nuclei. The analysis of the discrepancies between theory and experiment in the band crossing region of A ≤ 240 nuclei suggests the stabilization of octupole deformation at high spin, not included in the present calculations. The evolution of pairing with deformation, which is important for the fission barriers, has been investigated via the analysis of the moments of inertia in the superdeformed minimum. The dependence of the results on the CDFT parametrization has been studied by comparing the results of the calculations obtained with the NL1 and NL3* parametrizations.

show abstract

Global microscopic calculations of ground-state spins and parities for odd-mass nuclei

Cited by 68 publications

References 22 publications

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

Pairing gaps in the Hartree-Fock-Bogoliubov theory with the Gogny D1S interaction

Shape evolution in yttrium and niobium neutron-rich isotopes

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory

Contact Info

Product

Resources

About