An attractive spin-orbit potential from the Skyrme model

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.

7 pages, 3 figures. v2 includes an erratum, which corrects some errors in the original paper

References in corpus (4)

• States of Carbon-12 in the Skyrme Model
• A Skyrme model approach to the spin-orbit force
• Nucleon-nucleon potential from skyrmion dipole interactions
• Nucleon-nucleon potential from instanton holonomies

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• Generalized skyrmion crystals with applications to neutron stars
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• A False Vacuum Skyrme Model for Nuclear Matter
• A consistent two-skyrmion configuration space from instantons
• Nucleon-nucleon potential from skyrmion dipole interactions
• Nucleon-nucleon potential from instanton holonomies
• Compressibility of dense nuclear matter in the $\rho$-meson variant of the Skyrme model