Effect of Finite Binding on the Apparent Spin-Orbit Splitting in Nuclei

Abstract

The apparent splitting between orbitals that are spin-orbit partners can be substantially influenced by the effects of finite binding. In particular, such effects can account for the observed decrease in separation of the neutron $1p_{3/2}$ and $1p_{1/2}$ orbitals between the ${}^{41}$Ca and ${}^{35}$Si isotopes. This behavior has been the subject of recent experimental and theoretical works and cited as evidence for a proton "bubble" in ${}^{34}$Si causing an explicit weakening of the spin-orbit interaction. The results reported here suggest that the change in the separation between the $1p_{3/2}$ and $1p_{1/2}$ partners occurs dominantly because of the behavior of the energies of these $1p$ neutron states near zero binding.

4 pages, 3 figures

References in corpus (3)

• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Spin-orbit splittings of neutron states in $N=20$ isotones from covariant density functionals and their extensions
• Ordering of the $0d_{5/2}$ and $1s_{1/2}$ proton levels in light nuclei

Cited by in corpus (4)

• First Exploration of Neutron Shell Structure Below Lead and Beyond $\mathbf{N}=126$
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Landscape of nuclear deformation softness with spherical quasi-particle random phase approximation
• Quenching of the proton $\pi 0p_{3/2}$-$\pi 0p_{1/2}$ spin-orbit splitting in ${}^{20}$O and the effect of the tensor force