Effect of the tensor force in the exchange channel on the spin-orbit splitting in 23F in the Hartree-Fock framework

TL;DR

This paper investigates how the tensor force in the exchange channel influences the spin-orbit splitting in 23F within the Hartree-Fock framework, showing it reduces the splitting to match experimental observations.

Contribution

It demonstrates that including the tensor force in the exchange channel within Hartree-Fock calculations accurately reproduces the reduced spin-orbit splitting in 23F.

Findings

Tensor force reduces the ls-splitting by a few MeV.

The model aligns well with recent experimental data.

Interaction between valence proton and neutrons explains the splitting change.

Abstract

We study the spin-orbit splitting ($ls$-splitting) for the proton d-orbits in 23F in the Hartree-Fock framework with the tensor force in the exchange channel. 23F has one more proton around the neutron-rich nucleus 22O. A recent experiment indicates that the ls-splitting for the proton d-orbits in 23F is reduced from that in 17F. Our calculation shows that the ls-splitting in 23F becomes smaller by about a few MeV due to the tensor force. This effect comes from the interaction between the valence proton and the occupied neutrons in the 0d5/2 orbit through the tensor force and makes the ls-splitting in 23F close to the experimental data.