Ground state octupole correlation energies with effective forces

Abstract

The ground state octupole correlation energy is computed with the D1M variant of the Gogny force in different theoretical frameworks and analyzed in detail. First I consider the correlation energy gained at the mean field level by breaking reflection symmetry. Next I consider the energy gain coming from symmetry (parity) restoration and finally I analyze the ground state correlation energy after configuration mixing with axially symmetric octupole states. The impact of the latter on theoretical binding energies indicates that octupole correlations do not affect in a significant way the trend and systematic of binding energies and therefore can not improve the performance of theoretical models in this respect. In particular, the too-large "shell gaps" predicted by self-consistent mean field models and relevant in astrophysics scenarios are not altered by the octupole correlations.

5 pages, 3 figures, 3 extra figures as supplemental material

References in corpus (13)

• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Global systematics of octupole excitations in even-even nuclei
• Neutron Reactions in Astrophysics
• Current Status and Future Potential of Nuclide Discoveries
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Nonaxial-octupole effect in superheavy nuclei
• Microscopic description of quadrupole-octupole coupling in Sm and Gd isotopes with the Gogny Energy Density Functional
• Remarks on the use of projected densities in the density dependent part of Skyrme or Gogny functionals
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr
• Tetrahedral symmetry in Zr nuclei: Calculations of low-energy excitations with Gogny interaction
• Nuclear correlations and the r-process

Cited by in corpus (27)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Octupole deformation in the ground states of even-even nuclei: a global analysis within the covariant density functional theory
• Symmetry restoration in mean-field approaches
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Landscape of pear-shaped even-even nuclei
• Imaging the initial condition of heavy-ion collisions and nuclear structure across the nuclide chart
• New Gogny interaction suitable for astrophysical applications
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Microscopic description of fission in superheavy nuclei with the parametrization D1M${}^{\ast }$ of the Gogny energy density functional
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Octupole correlations in light actinides from the interacting boson model based on the Gogny energy density functional
• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Microscopic description of octupole collective excitations near $N=56$ and $N=88$
• Microscopic description of quadrupole-octupole coupling in actinides with the Gogny-D1M energy density functional
• Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
• Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional
• Deformation properties with a finite range simple effective interaction
• Quadrupole-octupole coupling and the evolution of collectivity in neutron-deficient Xe, Ba, Ce, and Nd isotopes
• Enhancement of octupole strength in near spherical nuclei
• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Symmetry-projected variational calculations with the numerical suite TAURUS II. Configuration mixing of symmetry-projected reference states
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations