Nuclear isotope shifts within the local energy-density functional approach

Abstract

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in charge radii. For a few isotope chains of spherical nuclei, the calculations are performed with an exact treatment of the Gor'kov equations in the coordinate-space representation. A zero-range cutoff density-dependent pairing interaction with a density-gradient term is used. The evolution of charge radii and nucleon separation energies is reproduced reasonably well including kinks at magic neutron numbers and sizes of staggering. It is shown that the density-dependent pairing may also induce sizeable staggering and kinks in the evolution of the mean energies of multipole excitations. The results are compared with the conventional mean field Skyrme-HFB and relativistic Hartree-BCS calculations. With the formulated approach, an extrapolation from the pairing properties of finite nuclei to pairing in infinite matter is considered, and the dilute limit near the critical point, at which the regime changes from weak to strong pairing, is discussed.

Latex, 91 pages, 22 postscript figures

References in corpus (6)

• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Anomaly in the charge radii of Pb isotopes
• Closed shells at drip-line nuclei
• Neutron Drops and Skyrme Energy-Density Functionals
• Model--space approach to ${}^1{S}_0$ neutron and proton pairing with the Bonn meson--exchange potentials
• Nucleon-Nucleon Phase Shifts and Pairing in Neutron Matter and Nuclear Matter

Cited by in corpus (125)

• Equations of state for supernovae and compact stars
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
• Superfluidity in nuclear systems and neutron stars
• Spatial structure of neutron Cooper pair in low density uniform matter
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Unified equation of state for neutron stars on a microscopic basis
• Relativistic quasiparticle time blocking approximation. Dipole response of open-shell nuclei
• Particle-Number Restoration within the Energy Density Functional Formalism
• Nuclear charge radii: Density functional theory meets Bayesian neural networks
• Configuration Mixing within the Energy Density Functional Formalism: Removing Spurious Contributions from Non-Diagonal Energy Kernels
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• Shell Model Description of Isotope Shifts in Calcium
• Particle-Number Restoration within the Energy Density Functional formalism: Nonviability of terms depending on noninteger powers of the density matrices
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Symmetry-Unrestricted Skyrme-Hartree-Fock-Bogoliubov Calculations for Exotic Shapes in N=Z Nuclei from 64Ge to 84Mo
• Particle-vibration coupling within covariant density functional theory
• Pairing Interaction and Self-Consistent Densities in Neutron-Rich Nuclei
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Properties of the nuclear medium
• Effective contact pairing forces from realistic calculations in infinite homogeneous nuclear matter
• Self-interaction errors in nuclear energy density functionals
• Laser spectroscopy of neutron-rich ${}^{207,208}$Hg isotopes: Illuminating the kink and odd-even staggering in charge radii across the $N=126$ shell closure
• Vortex pinning and dynamics in the neutron star crust
• Novel Role of Superfluidity in Low-Energy Nuclear Reactions
• Nuclear Charge Radii of the Nickel Isotopes ${}^{58-68,70}$Ni
• The neutron star inner crust and symmetry energy
• Local Density Approximation for Systems with Pairing Correlations
• A Minimal Nuclear Energy Density Functional
• Nuclear Equation of state for Compact Stars and Supernovae
• Energy Density Functional Approach to Superfluid Nuclei
• Nuclear matter in the crust of neutron stars
• The beta-delayed neutron emission in 78Ni region
• Charge radii in covariant density functional theory: a global view
• Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
• Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms
• Effects of density dependence of the effective pairing interaction on the first $2^{+}$ excitations and quadrupole moments of odd nuclei
• Role of the boundary conditions in the Wigner-Seitz approximation applied to the neutron star inner crust
• Recent progress in laser spectroscopy of the actinides
• The cluster structure of the inner crust of neutron stars in the Hartree-Fock-Bogoliubov approach
• Spatial structure of a vortex in low density neutron matter
• Density functional theory and Kohn-Sham scheme for self-bound systems
• Self-consistent description of single-particle levels of magic nuclei
• Irregularities in nuclear radii at magic numbers
• Breaking and restoring symmetries within the nuclear energy density functional method
• Skyrme pseudo-potential-based EDF parametrisation for spuriousity-free MR-EDF calculations
• Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems
• Energy density functional on a microscopic basis
• Continuum QRPA in the coordinate space representation
• Effective density functionals beyond mean field
• Quasiparticle Renormalization and Pairing Correlations in Spherical Superfluid Nuclei
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• A realistic model of superfluidity in the neutron star inner crust
• The Kinetic Energy Density in Kohn-Sham Density Functional Theory
• Quadrupole moments of spherical semi-magic nuclei within the self-consistent Theory of Finite Fermi Systems
• Coordinate-Space Solver for Superfluid Many-Fermion Systems with Shifted Conjugate Orthogonal Conjugate Gradient Method
• Nuclear Pairing: Surface or Bulk ?
• Nuclear charge radius predictions by kernel ridge regression with odd-even effects
• Self-consistent calculations of quadrupole moments of the first 2+ states in Sn and Pb isotopes
• First applications of Fayans functional to deformed nuclei
• Novel ansatz for charge radii in density functional theories
• Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
• Neutron Matter: A Superfluid Gas
• On stability of the neutron rich Oxygen isotopes
• Electromagnetic Properties of Indium Isotopes Elucidate the Doubly Magic Character of ${}^{100}$Sn
• Interaction of the single-particle and collective degrees of freedom in non-magic nuclei: the role of phonon tadpole terms
• Microscopic evaluation of the pairing gap
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• 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
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Superfluid nucleon matter in and out of equilibrium and weak interactions
• Charge radii, moments and masses of mercury isotopes across the N = 126 shell closure
• Landau Migdal Theory of Interacting Fermi Systems: A Framework for Effective Theories in Nuclear Structure Physics
• Phonon coupling effects in magnetic moments of magic and semi-magic nuclei
• Jost function based on the Hartree-Fock-Bogoliubov formalism
• Properties of a quantum vortex in neutron matter
• Odd-even staggering in neutron drip line nuclei
• Alpha-decay energies of superheavy nuclei for the Fayans functional
• The kinks in charge radii across $N$ = 82 and 126 revisited
• Pairing core swelling effect in Pb isotopes at $N>126$
• Particle vibrational coupling in covariant density functional theory
• Surface behaviour of the pairing gap in a slab of nuclear matter
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Phonon contributions to ab initio double mass differences of magic nuclei
• ${\beta }^2$ corrections to spherical EDF calculations for root-mean-square charge radii
• On the relativistic origin of the kink effect in the chain of Pb isotopes
• Phonon-particle coupling effects in single-particle energies of semi-magic nuclei
• Fano effect on the neutron elastic scattering by open-shell nuclei
• Competition between allowed and first-forbidden $\beta$ decay in $r$-process waiting-point nuclei within a relativistic beyond-mean-field approach
• Spatial correlation properties of the anomalous density matrix in a slab of nuclear matter with realistic NN-forces
• Upper edge of the neutron star crust : the drip point and around
• Separabelized Skyrme Interactions and Quasiparticle RPA
• Solitonic excitations in collisions of superfluid nuclei: a qualitatively new phenomenon distinct from the Josephson effect
• The microscopic pairing gap in a slab of nuclear matter for the Argonne v18 NN-potential
• Spectroscopic factors of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems
• Fayans functional for deformed nuclei. Uranium region
• Ground State Properties of Neutron Magic Nuclei
• Charge radii of Ca isotopes and correlations
• Equilibrium nuclear ensembles taking into account vaporization of hot nuclei in dense stellar matter
• Phonon-particle coupling effects in odd-even double mass differences of semi-magic nuclei
• Phonon-particle coupling effects in odd-even double mass differences of magic nuclei
• Extending pairing energy density functional using pairing rotational moments of inertia
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• The first self-consistent calculation of quadrupole moments of odd semi-magic nuclei accounting for phonon induced corrections
• On limits of ab initio calculations of pairing gap in nuclei
• An ab initio theory of double odd-even mass differences in nuclei
• Constructing a simulation surrogate with partially observed output
• Quadrupole moments of odd-odd near-magic nuclei
• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• Self-consistent Theory of Finite Fermi Systems vs Skyrme-Hartree-Fock method. Spherical nuclei
• Phonon-particle coupling effects in odd-even mass differences of semi-magic nuclei
• Elastic scatering cross-sections obtained on the basis of the potential of the modified Thomas-Fermi method and taking the core into account
• The charge radii of calcium isotopes within relativistic density functional theory: nucleon's finite-size and quadrupole shape fluctuation effects
• Significance of tensor force in pseudo-spin symmetry
• Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals
• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei
• Bulk and decay properties of neutron-deficient odd-mass Hg isotopes around A = 185
• Particle-phonon coupling effects within theory of finite Fermi systems
• Self-consistent account for phonon induced corrections to quadrupole moments of odd nuclei. Pole and non-pole diagrams
• Microscopic Calculations of Vortex-Nucleus Interaction in the Neutron Star Crust
• Statistical correlations of nuclear quadrupole deformations and charge radii