Non-topological kink scattering in a two-component scalar field theory model

Abstract

In this paper the scattering between the non-topological kinks arising in a family of two-component scalar field theory models is analyzed. A winding charge is carried by these defects. As a consequence, two different classes of kink scattering processes emerge: (1) collisions between kinks that carry the same winding number and (2) scattering events between kinks with opposite winding number. The variety of scattering channels is very rich and it strongly depends on the collision velocity and the model parameter. For the first type of events, four distinct scattering channels are found: \textit{kink reflection} (kinks collide and bounce back), \textit{one-kink (partial) annihilation} (the two non-topological kinks collide causing the annihilation of one half of each kink and the subsequent recombination of the other two halves, giving rise to a new non-topological kink with the opposite winding charge), \textit{winding flip kink reflection} (kinks collide and emerge with the opposite winding charge) and \textit{total kink annihilation} (kinks collide and decay to the vacuum configuration). For the second type of events, the scattering channels comprise \textit{bion formation} (kink and antikink form a long-living bound state), \textit{kink-antikink passage} (kinks collide and pass each other) and \textit{kink-antikink annihilation} (kink and antikink collide and decay to the vacuum configuration).

22 pages, 17 figures

References in corpus (17)

• Kink-kink and kink-antikink interactions with long-range tails
• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Long-range interactions of kinks
• Forces between Kinks and Antikinks with Long-range Tails
• Kinks in a non-linear massive sigma model
• The ${\varphi }^4$ model with the BPS preserving defect
• Could the primordial radiation be responsible for vanishing of topological defects?
• Highly interactive kink solutions
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Interaction of topological solitons with defects: using a nontrivial metric
• Chaotic scattering in solitary wave interactions: A singular iterated-map description
• Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions
• The First-Order Euler-Lagrange equations and some of their uses
• Self-dual sectors for scalar field theories in (1 + 1) dimensions
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions
• Solitary Waves in Massive Nonlinear S^N-Sigma Models

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