Spectral walls in antikink-kink scattering in the ${\varphi }^6$ model

Abstract

We show that thick spectral walls exist in antikink-kink collisions in the ${\varphi }^6$ model. In this model, they are triggered by the so-called $delocalized$ $modes$ which do not exist in the single-soliton sector but emerge in antikink-kink ($\bar{K}K$) collisions. Therefore, spectral walls are a rather common phenomenon that should occur in many solitonic collisions involving non-symmetric kinks as, e.g., in the ${\varphi }^8$ or higher power models.

6 pages, 4 figures

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• Scattering of kinks in scalar-field models with higher-order self-interactions
• A toy model to explain the missing bounce windows in the kink-antikink collisions
• Kinks scattering in deformed ${\phi }^6$ model
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints