Irregularities in nuclear radii at magic numbers

Abstract

Influence of magic numbers on nuclear radii is investigated via the Hartree-Fock-Bogolyubov calculations and available experimental data. With the $\ell s$ potential including additional density-dependence suggested from the chiral effective field theory, kinks are universally predicted at the $jj$-closed magic numbers and anti-kinks (\textit{i.e.} inverted kinks) are newly predicted at the $\ell s$-closed magic numbers, both in the charge radii and in the matter radii along the isotopic and isotonic chains where nuclei stay spherical. These results seem consistent with the kinks of the charge radii observed in Ca, Sn and Pb and the anti-kink in Ca. The kinks and the anti-kinks could be a peculiar indicator for magic numbers, discriminating $jj$-closure and $\ell s$-closure.

6 pages including 3 figures; to be published in PRC

References in corpus (4)

• Nuclear magic numbers: new features far from stability
• Microscopic justification of the Equal Filling approximation
• Semi-classical equation of state and specific heats for neutron-star inner crust with proton shell corrections
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei

Cited by in corpus (22)

• Laser Spectroscopy for the Study of Exotic Nuclei
• Study of Charge Radii with Neural Networks
• 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
• Charge radii in covariant density functional theory: a global view
• Swelling of doubly magic ${}^{48}$Ca core in Ca isotopes beyond $N=28$
• Comparative study on charge radii and their kinks at magic numbers
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• Core swelling in spherical nuclei: An indication of the saturation of nuclear density
• Charge-changing cross sections for ${}^{42\text{–}51}$Ca and effect of charged-particle evaporation induced by neutron removal reaction
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• Charge radii, moments and masses of mercury isotopes across the N = 126 shell closure
• Charge radii of Ca isotopes and correlations
• Potential signature of new magicity from universal aspects of nuclear charge radii
• Configuration interaction relativistic Hartree-Fock model
• 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
• Significance of tensor force in pseudo-spin symmetry
• Implication of shell quenching in scandium isotopes around N=20
• Assessment of effect of local approximation on single folding potential at low and intermediate incident energies
• Implication of odd-even staggering in the charge radii of calcium isotopes