Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey

Abstract

We studied kink-antikink collisions in (1+1)-dimensional spacetime for all $Z_2$ symmetric ${\varphi }^8$ models with four degenerate minima. Such a polynomial model has only one free parameter, allowing us to conduct an exhaustive analysis. We performed detailed simulations in all three sectors of the model. We observed resonance windows from both localized and delocalized modes, as well as a sector change with the formation of additional kink-antikink pairs. Furthermore, we were able to show how collisions are modified when two quadratic minima merge into a quartic one, causing the kinks to acquire a long-range character. We demonstrated that when the tail not facing the opposing kink is long-range, incoming kinks and antikinks decay directly into radiation, as suggested in \cite{campos2021interaction}, by forming a large number of small kink-antikink pairs. Finally, we briefly discussed whether our analysis could be generalized to other polynomial models.

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• Highly-enhanced propagation of long-range kinks in heterogeneous media
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Analytical short- and long-range kink-like structures in scalar field models with polynomial interactions
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model
• Compact kinks in a modified Christ-Lee model
• Scattering between orthogonally wobbling kinks