Microscopic description of quadrupole-octupole coupling in Sm and Gd isotopes with the Gogny Energy Density Functional

Abstract

The interplay between the collective dynamics of the quadrupole and octupole deformation degree of freedom is discussed in a series of Sm and Gd isotopes both at the mean field level and beyond, including parity symmetry restoration and configuration mixing. Physical properties like negative parity excitation energies, E1 and E3 transition probabilities are discussed and compared to experimental data. Other relevant intrinsic quantities like dipole moments, ground state quadrupole moments or correlation energies associated to symmetry restoration and configuration mixing are discussed. For the considered isotopes, the quadrupole-octupole coupling is found to be weak and most of the properties of negative parity states can be described in terms of the octupole degree of freedom alone.

31 pages, 11 figures

References in corpus (13)

• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Systematics of the first 2+ excitation with the Gogny interaction
• Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
• Nuclear collective motion with a coherent coupling interaction between quadrupole and octupole modes
• Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
• E(5) and X(5) shape phase transitions within a Skyrme Hartree-Fock + BCS approach
• Shape evolution in Yttrium and Niobium neutron-rich isotopes
• Octupole degree of freedom for the critical-point candidate nucleus ${}^{152}$Sm in a reflection-asymmetric relativistic mean-field approach
• A beyond mean field analysis of the shape transition in the Neodymium isotopes
• Description of nuclear octupole and quadrupole deformation close to the axial symmetry: Octupole vibrations in the X(5) nuclei 150Nd and 152Sm

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