Comparative study on charge radii and their kinks at magic numbers

Abstract

Isotope dependences of charge radii, i.e., isotope shifts, calculated by the Skyrme Hartree-Fock, the relativistic mean-field, and the relativistic Hartree-Fock calculations are compared against the experimental data of magic and semimagic nuclei. It is found that the tensor interaction plays a role in reproducing the ``kink'' behavior, irregularity of isotope shifts at the neutron magic number, in the relativistic Hartree-Fock approach. With several Skyrme models, it is found that the kink behavior can be reproduced with the spin-orbit interaction having nonzero isovector channel. The single-particle orbitals near the Fermi energy are crucial to determine the kink size. The effects of the symmetry energy and the pairing interaction are also discussed in relation to the kink behavior.

22 pages, 34 figures, 10 tables

References in corpus (11)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• A new Skyrme interaction with improved spin-isospin properties
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• 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
• Odd-even mass difference and isospin dependent pairing interaction
• Coulombic effect and renormalization in nuclear pairing
• Contradicting effective mass scalings within the Skyrme energy density functional method
• Isovector density and isospin impurity in ${}^{40}\mathrm{Ca}$

Cited by in corpus (14)

• Global prediction of nuclear charge density distributions using deep neural network
• Calibration of nuclear charge density distribution by back-propagation neural networks
• Towards accurate nuclear mass tables in covariant density functional theory
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• ${}^{164}\mathrm{Pb}$: A possible heaviest $N=Z$ doubly magic nucleus
• Significance of tensor force in pseudo-spin symmetry
• Interrelation between $\bar{p}$-Ca Atom Spectra and Nuclear Density Profiles
• Impact of finite-range spin-orbit and tensor terms in Gogny EDF
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional
• Lifetime measurement of the muonic atoms of enriched Si isotopes
• Implication of odd-even staggering in the charge radii of calcium isotopes
• Comprehensive table of calculated Huff factors
• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model