Rolling Skyrmions and the Nuclear Spin-Orbit Force

Abstract

We compute the nuclear spin-orbit coupling from the Skyrme model. Previous attempts to do this were based on the product ansatz, and as such were limited to a system of two well-separated nuclei. Our calculation utilises a new method, and is applicable to the phenomenologically important situation of a single nucleon orbiting a large nucleus. We find that, to second order in perturbation theory, the coefficient of the spin-orbit coupling induced by pion field interactions has the wrong sign, but as the strength of the pion-nucleon interactions increases the correct sign is recovered non-perturbatively.

37 pages, 5 figures. v2: discussion of the literature improved, and other minor changes

References in corpus (7)

• A dynamical $\alpha$-cluster model of ${}^{16}$O
• BPS Skyrmions as neutron stars
• An Alpha Particle Model for Carbon-12
• Note on spin-orbit interactions in nuclei and hypernuclei
• A Skyrme model approach to the spin-orbit force
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• Hard topological versus soft geometrical magnetic particle transport
• On the robustness of solitons crystals in the Skyrme model
• The geometric phase and the dry friction of sleeping tops on inclined planes