Charge radii in covariant density functional theory: a global view

Abstract

A systematic global investigation of differential charge radii has been performed within the CDFT framework for the first time. Theoretical results obtained with conventional covariant energy density functionals and separable pairing interaction are compared with experimental differential charge radii in the regions of the nuclear chart in which available experimental data crosses neutron shell closures at N = 28, 50, 82 and 126. The analysis of absolute differential radii of different isotopic chains and their relative properties indicate clearly that such properties are reasonably well described in model calculations in the cases when the mean-field approximation is justified. However, while the observed clusterization of differential charge radii of different isotopic chains is well described above the N=50 and N=126 shell closures, it is more difficult to reproduce it above the N=28 and N=82 shell closures because of possible deficiencies in underlying single-particle structure. The impact of the latter has been evaluated for spherical shapes and it was shown that the relative energies of the single-particle states and the patterns of their occupation with increasing neutron number have an appreciable impact on the evolution of the differential charge radii. It is shown that the kinks in the charge radii at neutron shell closures are due to the underlying single-particle structure and due to weakening or collapse of pairing at these closures. It is usually assumed that pairing is a dominant contributor to odd-even staggering (OES) in charge radii. Our analysis paints a more complicated picture. It suggests a new mechanism in which the fragmentation of the single-particle content of the ground state in odd-mass nuclei due to particle-vibration coupling provides a significant contribution to OES in charge radii.

arXiv comment38 pages, 33 figures, submitted to Physical Review C, supplemental information is provided in the file named "supplemental.pdf". Revised version of the manuscript which takes into account the recommendations of referee

References in corpus (63)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Constraints on the symmetry energy and neutron skins from experiments and theory
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Implications of PREX-II on the equation of state of neutron-rich matter
• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• The effective force NL3 revisited
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• A finite range pairing force for density functional theory in superfluid nuclei
• Nuclear isotope shifts within the local energy-density functional approach
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Neutron skin of ${}^{208}$Pb from Coherent Pion Photoproduction
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials,
• Anomaly in the charge radii of Pb isotopes
• Charge radii and structural evolution in Sr, Zr, and Mo isotopes
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Nuclear charge radii: Density functional theory meets Bayesian neural networks
• Octupole deformation in the ground states of even-even nuclei: a global analysis within the covariant density functional theory
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Dynamics of nuclear single-particle structure in covariant theory of particle-vibration coupling: from light to superheavy nuclei
• Parity Violating Elastic Electron Scattering and Coulomb Distortions
• The neutron drip line: single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties
• Covariant density functional theory: Reexamining the structure of superheavy nuclei
• Landscape of pear-shaped even-even nuclei
• Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory
• Covariant energy density functionals: nuclear matter constraints and global ground state properties
• 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
• Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals
• Time-odd mean fields in covariant density functional theory I. Non-rotating systems
• Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Shape staggering of mid-shell mercury isotopes from in-source laser spectroscopy compared with Density Functional Theory and Monte Carlo Shell Model calculations
• Parametric correlations in energy density functionals
• Assessing theoretical uncertainties in fission barriers of superheavy nuclei
• Global microscopic calculations of ground-state spin and parity for odd-mass nuclei
• Why is lead so kinky?
• Quasiparticle-vibration coupling in relativistic framework: shell structure of Z=120 isotopes
• Impact of spin-orbit currents on the electroweak skin of neutron-rich nuclei
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei
• The propagation of statistical errors in covariant density functional theory: ground state observables and single-particle properties
• Irregularities in nuclear radii at magic numbers
• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• Deformed one-quasiparticle states in covariant density functional theory
• Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei
• Novel ansatz for charge radii in density functional theories
• Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus
• Rotational excitations in rare-earth nuclei: a comparative study within three cranking models with different mean fields and the treatments of pairing correlations
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Using isotope shift for testing nuclear theory: the case of nobelium isotopes
• Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei
• From cluster structures to nuclear molecules: the role of nodal structure of the single-particle wave functions
• Charge radii, moments and masses of mercury isotopes across the N = 126 shell closure
• Neutron-skin thickness of 208Pb from the energy of the anti-analog giant dipole resonance
• Particle vibrational coupling in covariant density functional theory
• Cluster structures, ellipsoidal shapes and nuclear molecules in light A=12-50 nuclei
• Neutron-skin thickness of ${}^{208}$Pb, and symmetry-energy constraints from the study of the anti-analog giant dipole resonance

Cited by in corpus (33)

• Laser Spectroscopy for the Study of Exotic Nuclei
• Charge radii of ${}^{55,56}$Ni reveal a surprisingly similar behavior at $N=28$ in Ca and Ni isotopes
• Improved phenomenological nuclear charge radius formulae with kernel ridge regression
• Nuclear charge radius predictions by kernel ridge regression with odd-even effects
• Comparative study on charge radii and their kinks at magic numbers
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Electromagnetic Properties of Indium Isotopes Elucidate the Doubly Magic Character of ${}^{100}$Sn
• Surprising charge-radius kink in the Sc isotopes at N=20
• Global prediction of nuclear charge density distributions using deep neural network
• Calibration of nuclear charge density distribution by back-propagation neural networks
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• Pairing core swelling effect in Pb isotopes at $N>126$
• Nuclear ground-state properties probed by the relativistic Hartree-Bogoliubov approach
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Empirical neutron star mass formula based on experimental observables
• Bubble nuclei: single-particle versus Coulomb interaction effects
• Evolution of nuclear charge radii in copper and indium isotopes
• ${\beta }^2$ corrections to spherical EDF calculations for root-mean-square charge radii
• The optimized point-coupling interaction for the relativistic energy density functional of Hartree-Bogoliubov approach quantifying the nuclear bulk properties
• Anchor-based optimization of energy density functionals
• Optimized nuclear energy density functionals including long-range pion contributions
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Towards accurate nuclear mass tables in covariant density functional theory
• Potential signature of new magicity from universal aspects of nuclear charge radii
• Time-dependent Dirac equation applied to one-proton radioactive emission
• Discovering Nuclear Models from Symbolic Machine Learning
• Correlation between the charge radii difference in mirror partner nuclei and the symmetry energy slope
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• Shell quenching in nuclear charge radii based on Monte Carlo dropout Bayesian neural network
• The charge radii of calcium isotopes within relativistic density functional theory: nucleon's finite-size and quadrupole shape fluctuation effects
• Implication of shell quenching in scandium isotopes around N=20
• Implication of odd-even staggering in the charge radii of calcium isotopes