Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei

Abstract

It was pointed out [Phys. Rev. C \textbf{91}, 021302(R)] that the isotope shifts of the Pb nuclei, the kink at $N=126$ in particular, can be well described by the Hartree-Fock-Bogolyubov calculations if a density-dependent LS interaction derived from the $3N$ interaction is incorporated. Effects of the density-dependence in the LS channel on the isotope shifts are extensively investigated for the Ca, Ni and Sn isotopes, using the semi-realistic M3Y-P6 interaction and its LS modified variant M3Y-P6a, as in the Pb case. It is found that almost equal charge radii between ${}^{40}$Ca and ${}^{48}$Ca are reproduced, as well as the isotope shifts in a long chain of the Sn nuclei, owing to the density-dependence in the LS channel. A kink is predicted at $N=82$ for the isotope shifts of the Sn nuclei, in clear contrast to the interactions without the density-dependence.

7 pages including 4 figures, to appear in PRC

References in corpus (6)

• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Microscopic justification of the Equal Filling approximation
• Nuclear and neutron matter $G$-matrix calculations with Ch-EFT potential including effects of three-nucleon interaction
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei
• Application of Gaussian expansion method to nuclear mean-field calculations with deformation
• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions

Cited by in corpus (17)

• 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
• First measurement of several $\beta$-delayed neutron emitting isotopes beyond N=126
• Irregularities in nuclear radii at magic numbers
• $\beta$-decay half-lives and $\beta$-delayed neutron emission probabilities for several isotopes of Au, Hg, Tl, Pb and Bi, beyond N=126
• Nuclear charge radius predictions by kernel ridge regression with odd-even effects
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Core swelling in spherical nuclei: An indication of the saturation of nuclear density
• Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions
• Charge radii, moments and masses of mercury isotopes across the N = 126 shell closure
• The kinks in charge radii across $N$ = 82 and 126 revisited
• Pairing core swelling effect in Pb isotopes at $N>126$
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• Significance of tensor force in pseudo-spin symmetry
• Self-consistent single-nucleon potential at positive energy produced by semi-realistic interaction and its examination via nucleon-nucleus elastic scattering
• Can realistic interaction be useful for nuclear mean-field approaches?
• Assessment of effect of local approximation on single folding potential at low and intermediate incident energies