An attractive spin-orbit potential from the Skyrme model

TL;DR

This paper derives the nucleon-nucleon isoscalar spin-orbit potential using the Skyrme model, providing a new geometric perspective and resolving a long-standing problem with results aligning well with the Paris potential.

Contribution

It introduces a novel derivation of the spin-orbit potential from the Skyrme model, offering a geometric understanding and solving a decades-old issue.

Findings

Good agreement with the Paris potential

Provides a new geometric interpretation of the spin-orbit force

Resolves a long-standing problem in nuclear physics

Abstract

We derive the nucleon-nucleon isoscalar spin-orbit potential from the Skyrme model and find good agreement with the Paris potential. This solves a problem that has been open for more than thirty years and gives a new geometric understanding of the spin-orbit force. Our calculation is based on the dipole approximation to skyrmion dynamics and higher order perturbation theory.