Global dynamical correlation energies in covariant density functional theory: cranking approximation

Abstract

The global dynamical correlation energies for 575 even-even nuclei with proton numbers ranging from Z=8 to Z=108 calculated with the covariant density functional theory using the PC-PK1 parametrization are presented. The dynamical correlation energies include the rotational correction energies obtained with the cranking approximation and the quadrupole vibrational correction energies. The systematic behavior of the present correlation energies is in good agreement with that obtained from the projected generator coordinate method using the SLy4 Skyrme force although our values are systematically smaller. After including the dynamical correlation energies, the root-mean-square deviation predicted by the PC-PK1 for the 575 even-even nuclei masses is reduced from 2.58 MeV to 1.24 MeV.

14 pages and 3 figures, version to be published in the Frontiers of Physics

References in corpus (17)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear magic numbers: new features far from stability
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Further improvements on a global nuclear mass model
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Mirror nuclei constraint in mass formula
• Novel structure for magnetic rotation bands in 60Ni
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Beyond relativistic mean-field studies of low-lying states in neutron-deficient krypton isotopes
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Nuclear ${\beta }^{+}$/EC decays in covariant density functional theory and the impact of isoscalar proton-neutron pairing
• Reexamining the temperature and neutron density conditions for r-process nucleosynthesis with augmented nuclear mass models
• Three-dimensional angular momentum projected relativistic point-coupling approach for the low-lying excited states in ${}^{24}$Mg

Cited by in corpus (37)

• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Covariant density functional theory: Reexamining the structure of superheavy nuclei
• Nuclear mass table in deformed relativistic Hartree-Bogoliubov theory in continuum, II: Even-$Z$ nuclei
• Covariant energy density functionals: nuclear matter constraints and global ground state properties
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• Charge radii in covariant density functional theory: a global view
• Assessing theoretical uncertainties in fission barriers of superheavy nuclei
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Effects of pairing, continuum, and deformation on particles in the classically forbidden regions for Mg isotopes
• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
• Improved radial basis function approach with the odd-even corrections
• Global analysis of quadrupole shape invariants based on covariant energy density functionals
• Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Toward precision mass measurements of neutron-rich nuclei relevant to $r$-process nucleosynthesis
• Microscopic analysis of octupole shape transitions in neutron-rich actinides with relativistic energy density functional
• Global prediction of nuclear charge density distributions using deep neural network
• Microscopic description of triaxiality in Ru isotopes with covariant energy density functional theory
• Nuclear pasta and symmetry energy in the relativistic point-coupling model
• Revisiting the extraction of charge radii of ${}^{40}$Ca and ${}^{208}$Pb with muonic atom spectroscopy
• Anchor-based optimization of energy density functionals
• Nuclear chart in covariant density functional theory with dynamical correlations: From Oxygen to Tin
• Quadrupole collectivity and shell closure in neutron-rich nuclei around $N=126$
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Towards accurate nuclear mass tables in covariant density functional theory
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• Influence of binding energies of electrons on nuclear mass predictions
• Evolution of $N=28$ shell closure in relativistic continuum Hartree-Bogoliubov theory
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• Benchmarking rotational correction energies in odd-mass nuclei
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum
• Covariant energy density functionals: the assessment of global performance across the nuclear landscape
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory