First applications of Fayans functional to deformed nuclei

Abstract

First calculations for deformed nuclei with the Fayans functional are carried out for the uranium and lead isotopic chains. The ground state deformations and deformation energies are compared to Skyrme-Hartree-Fock-Bogolyubov results of HFB-17 and HFB-27 functionals. For the uranium isotopic chain, the Fayans functional predictions are rather similar properties compared to HFB-17 and HFB-27. However, there is a disagreement for the lead isotopic chain. Both of the Skyrme HFB functionals predict rather strong deformations for the light Pb isotopes which does not agree with the experimental data on charge radii and magnetic moments of the odd Pb isotopes. On the other hand, the Fayans functional predicts a spherical ground state for all of the lead isotopes, in accordance with the data and the known in literature results obtained with the Gogny D1S force and SLy6 functional as well. The deformation energy curves are calculated and compared to four Skyrme functionals, SLy4, Sly6, SkM* and UNEDF1, for ${}^{238}$U nucleus and several lead deficient Pb isotopes. In the first case, the Fayans functional result is rather close to SkM* and UNEDF1 which, in particularly the latter one, describe the first and second barriers in ${}^{238}$U rather well. For the light lead isotopes, the Fayans deformation energy curves are qualitatively close to those of the SLy6 functional.

arXiv comment18 pages, 8 figures, submitted to J. Phys. G: Nucl. Part. Phys

References in corpus (32)

• Skyrme Interaction and Nuclear Matter Constraints
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Nuclear energy density optimization: Large deformations
• Systematic study of deformed nuclei at the drip lines and beyond
• Nuclear isotope shifts within the local energy-density functional approach
• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Particle-Number Projection and the Density Functional Theory
• Particle-Number Restoration within the Energy Density Functional Formalism
• Systematics of Fission Barriers in Superheavy Elements
• Configuration Mixing within the Energy Density Functional Formalism: Removing Spurious Contributions from Non-Diagonal Energy Kernels
• Configuration mixing of angular momentum projected self-consistent mean-field states for neutron-deficient Pb isotopes
• Microscopic description of complex nuclear decay: multimodal fission
• Accurate nuclear masses from a three parameter Kohn-Sham DFT approach (BCPM)
• Low densities in nuclear and neutron matters and in the nuclear surface
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Dynamic versus static fission paths with realistic interactions
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Third minima in thorium and uranium isotopes in a self-consistent theory
• Fission properties of the BCPM functional
• Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
• An improved density matrix expansion for spin-unsaturated nuclei
• Effects of density dependence of the effective pairing interaction on the first $2^{+}$ excitations and quadrupole moments of odd nuclei
• Convergence of density-matrix expansions for nuclear interactions
• Self-consistent description of single-particle levels of magic nuclei
• Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
• Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems
• Deformation properties of the BCP energy density functional
• Nuclear energy density functional from chiral pion-nucleon dynamics revisited
• Self-consistent calculations of quadrupole moments of spherical nuclei
• Semi-microscopic model of pairing in nuclei
• The first quadrupole excitations in spherical nuclei and nuclear pairing
• Isospin mixing in the vicinity of the N=Z line

Cited by in corpus (9)

• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Relativistic Mean-Field Models with Scaled Hadron Masses and Couplings: Hyperons and Maximum Neutron Star Mass
• Electromagnetic Properties of Indium Isotopes Elucidate the Doubly Magic Character of ${}^{100}$Sn
• Alpha-decay energies of superheavy nuclei for the Fayans functional
• Global analysis of Skyrme forces with higher-order density dependence
• Ground State Properties of Neutron Magic Nuclei
• Fayans functional for deformed nuclei. Uranium region
• Self-consistent Theory of Finite Fermi Systems vs Skyrme-Hartree-Fock method. Spherical nuclei
• Self-consistent account for phonon induced corrections to quadrupole moments of odd nuclei. Pole and non-pole diagrams