Dynamics of Moving and Spinning Skyrmions

Abstract

We study the intermediate- and long-range forces between moving and spinning Skyrmions, employing two different methods. One uses a relativised product ansatz for the Skyrme fields, the other models Skyrmions as triplets of scalar dipoles. The methods lead to the same finite-dimensional Lagrangian dynamical system which may be interpreted as a point-particle approximation to Skyrmion dynamics. We discuss in detail the dynamics in the so-called attractive channel and the interaction between well-separated and rapidly spinning Skyrmions, and point out the resemblance between the latter and the one-pion exchange potential in nuclear physics.

35 pages, Latex (corrected some comments concerning non-zero pion mass), DTP 93-29

References in corpus (1)

• Inertial parameters of the Skyrmion-Skyrmion system with the product ansatz

Cited by in corpus (30)

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• Dynamics of Baby Skyrmions
• Static intervortex forces
• Spinning Skyrmions and the Skyrme Parameters
• Attractive Channel Skyrmions and the Deuteron
• Multi-soliton dynamics in the Skyrme model
• Skyrmion Quantization and the Decay of the Delta
• Isospinning baby Skyrmion solutions
• Scattering of Nucleons in the Classical Skyrme Model
• Classically isospinning Skyrmion solutions
• Chains of Skyrmions
• Scattering of Skyrmions
• Isospinning hopfions
• Realistic classical binding energies in the $\omega$-Skyrme model
• An attractive spin-orbit potential from the Skyrme model
• Baby Skyrmion Strings
• Low Energy Skyrmion-Skyrmion Scattering
• Dielectric Skyrmions
• Low Energy Nucleon-Nucleon Scattering with the Skyrme Model in the Geodetic Approximation
• Nucleon-nucleon potential from skyrmion dipole interactions
• Intervortex forces in competing-order superconductors
• Hopfions interaction from the viewpoint of the product ansatz
• Stable Kink-Kink and Metastable Kink-Antikink Solutions
• Nucleon-nucleon potential from instanton holonomies
• From Effective Lagrangians, to Chiral Bags, to Skyrmions with the Large-N_c Renormalization Group
• Oblate Skyrmions
• Two Skyrmion Dynamics with Omega Mesons
• Near-BPS Skyrmions
• Q-lump scattering
• Approximate solutions for the single soliton in a Skyrmion-type model with a dilaton scalar field