Kink-antikink collisions in the phi^6 model

Abstract

We study kink-antikink collisions in the one-dimensional non-integrable scalar phi^6 model. Although the single-kink solutions for this model do not possess an internal vibrational mode, our simulations reveal a resonant scattering structure, thereby providing a counterexample to the standard belief that existence of such a mode is a necessary condition for multi-bounce resonances in general kink-antikink collisions. We investigate the two-bounce windows in detail, and present evidence that this structure is caused by existence of bound states in the spectrum of small oscillations about a combined kink-antikink configuration.

4 pages, 5 ps figures. v2: 3 references added

References in corpus (1)

• How to Run Through Walls: Dynamics of Bubble and Soliton Collisions

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