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.

arXiv comment7 pages, 3 figures. v2 includes an erratum, which corrects some errors in the original paper

References in corpus (14)

• Low energy hadron physics in holographic QCD
• Skyrmions with low binding energies
• Skyrmions and clustering in light nuclei
• States of Carbon-12 in the Skyrme Model
• Dynamics of Moving and Spinning Skyrmions
• Interactions of B = 4 Skyrmions
• The Skyrme model description of the spin-orbit force
• A Skyrme model approach to the spin-orbit force
• Rolling Skyrmions and the Nuclear Spin-Orbit Force
• An attractive nucleon-nucleon spin-orbit force from skyrmions with dilatons
• Nucleon-nucleon potential from skyrmion dipole interactions
• Nucleon-nucleon potential from instanton holonomies
• Isoscalar NN spin-orbit potential from a Skyrme model with scalar mesons
• On the Skyrme model prediction for the N-N spin-orbit force

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• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Generalized skyrmion crystals with applications to neutron stars
• Dielectric Skyrmions
• Kaon condensation in skyrmion matter and compact stars
• 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