Systematics of quadrupolar correlation energies

Abstract

We calculate correlation energies associated with the quadrupolar shape degrees of freedom with a view to improving the self-consistent mean-field theory of nuclear binding energies. The Generator Coordinate Method is employed using mean-field wave functions and the Skyrme SLy4 interaction. Systematic results are presented for 605 even-even nuclei of known binding energies, going from mass A=16 up to the heaviest known. The correlation energies range from 0.5 to 6.0 MeV in magnitude and are rather smooth except for large variations at magic numbers and in light nuclei. Inclusion of these correlation energies in the calculated binding energy is found to improve two deficiencies of the Skyrme mean field theory. The pure mean field theory has an exaggerated shell effect at neutron magic numbers and addition of the correlation energies reduce it. The correlations also explain the phenomenon of mutually enhanced magicity, an interaction between neutron and proton shell effects that is not explicable in mean field theory.

4 pages with 3 embedded figures

References in corpus (14)

• Nuclear Ground-State Masses and Deformations
• Systematic study of deformed nuclei at the drip lines and beyond
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. II: Role of the effective mass
• Configuration mixing of angular momentum projected self-consistent mean-field states for neutron-deficient Pb isotopes
• Configuration mixing of mean-field wave-functions projected on angular momentum and particle number; application to 24Mg
• Beyond mean-field description of the low-lying spectrum of 16O
• GCM Analysis of the collective properties of lead isotopes with exact projection on particle numbers
• RPA vs. exact shell-model correlation energies
• The Skyrme energy functional and low lying 2+ states in Sn, Cd and Te isotopes
• Density-Dependence of Two-Body Interactions Beyond the Mean-Field Approximation. Part 1: Generalized Brueckner G-Matrix in the Local Approximation
• Density Dependence of Two-Body Interactions for Beyond Mean-Field Calculations
• Correlation energies by the generator coordinate method: computational aspects for quadrupolar deformations
• Projection and ground state correlations made simple
• Correlation energy contribution to nuclear masses

Cited by in corpus (33)

• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• Global study of quadrupole correlation effects
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Odd-even mass differences from self-consistent mean-field theory
• High-precision mass measurements of nickel, copper, and gallium isotopes and the purported shell closure at N=40
• Symmetry restoration in mean-field approaches
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Mean field study of structural changes in Pt isotopes with the Gogny interaction
• Fitting theories of nuclear binding energies
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Collectivity-induced quenching of signatures for shell closures
• A Minimal Nuclear Energy Density Functional
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Microscopic description of quadrupole-octupole coupling in Sm and Gd isotopes with the Gogny Energy Density Functional
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• The role of superfluidity in nuclear incompressibilities
• Triaxiality and shape coexistence in Germanium isotopes
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Large-Scale Self-Consistent Nuclear Mass Calculations
• The Giant Monopole Resonance in Pb isotopes
• What can be learned from binding energy differences about nuclear structure: the example of delta V_{pn}
• Collective inertia and fission barriers within the Skyrme-Hartree-Fock theory
• Estimating the relevance of predictions from nuclear mean-field models
• Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation
• Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations
• Shell-model Hamiltonians from Density Functional Theory
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Quadrupole collectivity and shell closure in neutron-rich nuclei around $N=126$
• Microscopic models for exotic nuclei
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Subspace-projected multireference covariant density functional theory
• Nuclear landscape in a mapped collective Hamiltonian from covariant density functional theory