Self-consistent calculations of quadrupole moments of spherical nuclei

Abstract

The self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. with the set DF3-a of parameters fixed previously is used to calculate three kinds of quadrupole moments. At first, we examined systematically quadrupole moments of odd neighbors of semi-magic lead and tin isotopes and $N=50,N=82$ isotones. Second, we found quadrupole moments of the first $2^{+}$ states in the same two chains of isotopes. Finally, we evaluated quadrupole moments of odd-odd nuclei neighboring to double magic ones. Reasonable agreement with available experimental data has been obtained. Predictions are made for quadrupole moments of nuclei in the vicinity of unstable magic nuclei

Talk presented at International Conference on Nuclear Structure and Related Topics, Dubna, July 2-7, 2012 (NSRT12). 7 pages

References in corpus (1)

• Interaction of the single-particle and collective degrees of freedom in non-magic nuclei: the role of phonon tadpole terms

Cited by in corpus (9)

• Self-consistent description of single-particle levels of magic nuclei
• First applications of Fayans functional to deformed nuclei
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• Alpha-decay energies of superheavy nuclei for the Fayans functional
• Fayans functional for deformed nuclei. Uranium region
• The first self-consistent calculation of quadrupole moments of odd semi-magic nuclei accounting for phonon induced corrections
• Self-consistent Theory of Finite Fermi Systems vs Skyrme-Hartree-Fock method. Spherical nuclei
• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei
• Self-consistent account for phonon induced corrections to quadrupole moments of odd nuclei. Pole and non-pole diagrams