Baby Skyrmion chains

Abstract

Previous results on multi-charged Baby Skyrmion solutions have pointed to a modular structure, comprised of charge two rings and single charge one Skyrmions, which combine to form higher charged structures. In this paper we present numerical evidence which shows an alternative finite chain, multi-charged global energy minimum Baby Skymion solution. We then proceed from the infinite plane, to Baby Skyrmions on a cylinder and then a torus, to obtain the solutions of periodic Baby Skyrmions, of which periodic segments will correspond to sections of large charge Baby Skyrmions in the plane.

References in corpus (4)

• Skyrmions and the alpha-particle model of nuclei
• Rotational symmetry breaking in baby Skyrme models
• Baby Skyrme models for a class of potentials
• Walls and chains of planar skyrmions

Cited by in corpus (19)

• Extended Supersymmetry and BPS solutions in baby Skyrme models
• Broken Baby Skyrmions
• Topological energy bounds in generalized Skyrme models
• The gauged BPS baby Skyrme model
• Isospinning baby Skyrmion solutions
• Aloof Baby Skyrmions
• Magnetothermodynamics of BPS baby skyrmions
• Isorotating Baby Skyrmions
• Broken planar Skyrmions -- statics and dynamics
• Head butting sheep: Kink Collisions in the Presence of False Vacua
• Baby Skyrme models without a potential term
• Near-BPS baby Skyrmions
• Baby Skyrmion crystals
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Lifshitz field theories with SDiff symmetries
• The vector BPS baby Skyrme model
• Gravitating gauged BPS baby Skyrmions
• Exactly solvable gravitating perfect fluid solitons in (2+1) dimensions
• Boundary charges and integral identities for solitons in $(d+1)$-dimensional field theories