Multi-soliton dynamics in the Skyrme model
arXiv:hep-th/9610113 · doi:10.1016/S0370-2693(96)01441-4
Abstract
We exhibit the dynamical scattering of multi-solitons in the Skyrme model for configurations with charge two, three and four. First, we construct maximally attractive configurations from a simple profile function and the product ansatz. Then using a sophisticated numerical algorithm, initially well-separated skyrmions in approximately symmetric configurations are shown to scatter through the known minimum energy configurations. These scattering events illustrate a number of similarities to BPS monopole configurations of the same charge. A simple modification of the dynamics to a dissipative regime, allows us to compute the minimal energy skyrmions for baryon numbers one to four to within a few percent.
latex, 10 pages, plus 5 figures (as gif files)
References in corpus (4)
Cited by in corpus (35)
- Rational Maps, Monopoles and Skyrmions
- To be or knot to be?
- Symmetric Skyrmions
- Solitons, Links and Knots
- Skyrmions, Fullerenes and Rational Maps
- Recent mathematical developments in the Skyrme model
- Light Nuclei as Quantized Skyrmions
- Non-linear superposition law and Skyrme crystals
- Exact multi-soliton solutions in the four dimensional Skyrme model
- Zero mode quantization of multi-Skyrmions
- Towards Skyrmion Stars: Large Baryon Configurations in the Einstein-Skyrme Model
- Symmetric Instantons and Skyrme Fields
- Normal Modes of the B=4 Skyrme Soliton
- Classically isospinning Skyrmion solutions
- Scattering of Nucleons in the Classical Skyrme Model
- Localized Solutions in a 2 Dimensional Landau-Lifshitz Model
- Scattering of Skyrmions
- Classical Skyrmions -- Static Solutions and Dynamics
- Flavoured multiskyrmions
- Simulated annealing for generalized Skyrme models
- Collision dynamics of Skyrmions in a two-component Bose-Einstein condensate
- Hopfions interaction from the viewpoint of the product ansatz
- Black holes with Skyrmion-anti-Skyrmion hairs
- Two Skyrmion Dynamics with Omega Mesons
- Collective Dynamics of Solitons and Inequivalent Quantizations
- Bound monopoles in the presence of a dilaton
- Discrete Skyrmions in 2+1 and 3+1 Dimensions
- Strangeness, charm and bottom in a chiral quark-meson model
- Baryonic systems with charm and bottom in the bound state soliton model
- Light Nuclei as Quantized Skyrmions: Energy Spectra and Form Factors
- Isospinning Skyrmions
- Skyrmions from SU(3) harmonic maps and their quantization
- Real-time dynamics of proton decay
- Interaction of hopfions of charge 1 and 2 from product ansatz
- Recent Developments in the Skyrme Model