Sphalerons and resonance phenomenon in kink-antikink collisions

Abstract

We show that in some kink-antikink (KAK) collisions sphalerons, i.e., unstable static solutions - rather than the asymptotic free soliton states - can be the source of the internal degrees of freedom (normal modes) which trigger the resonance phenomenon responsible for the fractal structure in the final state formation.

12 pages, 6 figures

References in corpus (7)

• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Spectral Walls in Soliton Collisions
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Fractal structure of the soliton scattering for the graphene superlattice equation
• Oscillons in the presence of external potential
• Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
• Scattering of metastable lumps in a model with a false vacuum

Cited by in corpus (4)

• Relativistic Moduli Space for Kink Collisions
• Multikink scattering in the ${\varphi }^6$ model revisited
• Fermionic spectral walls in kink collisions
• Resonance mediated by fermions in kink-antikink collisions