The charge radii of calcium isotopes within relativistic density functional theory: nucleon's finite-size and quadrupole shape fluctuation effects

Abstract

The anomaly in the charge radii of Ca isotopes has been puzzling for nuclear theory for decades. We present the first self-consistent solution to this puzzle within the density functional theory without resorting to local parameter adjustment. By taking into account both the intrinsic electromagnetic structure of nucleons and the zero-point motions of nuclear shape, which have been often neglected in previous studies, the similar charge radii of ${}^{40}$Ca and ${}^{48}$Ca as well as an inverted parabolic behavior between them are reproduced. It is found that these effects also play crucial roles in the description of the isotonic shift between the charge radii of Sn and Cd isotopes.

7 pages, 5 figures

References in corpus (15)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• 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
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Nuclear Charge Radii of the Nickel Isotopes ${}^{58-68,70}$Ni
• The effect of spin-orbit nuclear charge density corrections due to the anomalous magnetic moment on halonuclei
• Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties
• Measurement of the neutron charge radius and the role of its constituents
• Novel ansatz for charge radii in density functional theories
• Shape and multiple shape coexistence of nuclei within covariant density functional theory
• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure
• Mean-field calculations of charge radii in ground and isomeric states of Cd isotopes
• Charge radii of Ca isotopes and correlations

Cited by in corpus (1)

• Predictions of charge density distributions for nuclei with $Z\ge 8$