Q-lumps on a Domain Wall with a Spin-Orbit Interaction

Abstract

The nonlinear O(3) sigma-model in (2+1) dimensions with an additional potential term admits solutions called Q-lumps, having both topological and Noether charges. We consider in 3+1-dimensional spacetime the theory with Q-lumps on a domain wall in the presence of spin-orbit interaction in the bulk and find interaction effects for a two-particle solution through perturbation theory and adiabatic approximation.

11 pages, 5 figures, references added

References in corpus (7)

• Skyrmions from Instantons inside Domain Walls
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Domain wall Skyrmions
• Matryoshka Skyrmions
• Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in Superfluid 3He-B
• 't Hooft-Polyakov Monopoles with Non-Abelian Moduli
• Non-Abelian Moduli on Domain Walls

Cited by in corpus (8)

• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Multi-kink scattering in the double sine-Gordon model
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Scalar triplet on a domain wall: an exact solution
• Scattering of kinks in the $B{\phi }^4$ model
• Strings and skyrmions on domain walls