Skyrmion--Anti-Skyrmion Chains

Abstract

Static axially symmetric sphaleron-type solutions describing chains of interpolating Skyrmion--anti-Skyrmions have been constructed numerically. The configurations are characterized by two integers n and m, where $\pm n$ are the winding numbers of the constituent Skyrmion and anti-Skyrmion and the second integer m defines type of the solution, it has zero topological charge for even m and for odd values of m the Skyrmion--anti-Skyrmion chain has topological charge n. For the vanishing mass term we confirm the existence of such chain solutions for winding number $|n|\ge 2$. The similarity with monopole--anti-monopole pairs is highlighted.

10 pages, 4 figures, typos corrected, Table 2 added

References in corpus (5)

• Monopole-Antimonopole Chains and Vortex Rings
• Sphalerons in the Skyrme model
• Self-dual instanton and nonself-dual instanton-antiinstanton solutions in $d=4$ Yang-Mills theory
• Electromagnetic Interaction in the System of Multimonopoles and Vortex Rings
• More about the new non-selfdual axially symmetric SU(2) calorons

Cited by in corpus (14)

• Chains of Boson Stars
• Skyrmions around Kerr black holes and spinning BHs with Skyrme hair
• Two boson stars in equilibrium
• Non-existence of Skyrmion-Skyrmion and Skyrmion-anti-Skyrmion static equilibria
• Gravitating sphalerons in the Skyrme model
• Gauged Hopfions
• Q-chains in the $U(1)$ gauged Friedberg-Lee-Sirlin model
• Solitons in the Gauged Skyrme-Maxwell Model
• The Inevitability of Sphalerons in Field Theory
• Magnetic Hopfions in the Faddeev-Skyrme-Maxwell model
• Hopfion canonical quantization
• Black holes with Skyrmion-anti-Skyrmion hairs
• Sphaleron solutions of the Skyrme model from Yang-Mills holonomy
• Bifurcations in Bosonic Stars: chains and rings from spherical solutions