Kink scattering in a hybrid model

Abstract

In this work we consider a model where the potential has two topological sectors connecting three adjacent minima, as occurs with the ${\varphi }^6$ model. In each topological sector, the potential is symmetric around the local maximum. For $\varphi >0$ there is a linear map between the model and the $\lambda {\varphi }^4$ model. For $\varphi <0$ the potential is reflected. Linear stability analysis of kink and antikink lead to discrete and continuum modes related by a linear coordinate transformation to those known analytically for the $\lambda {\varphi }^4$ model. Fixing one topological sector, the structure of antikink-kink scattering is related to the observed in the $\lambda {\varphi }^4$ model. For kink-antikink collisions a new structure of bounce windows appear. Depending on the initial velocity, one can have oscillations of the scalar field at the center of mass even for one bounce, or a change of topological sector. We also found a structure of one-bounce, with secondary windows corresponding to the changing of the topological sector accumulating close to each one-bounce windows. The kink-kink collisions are characterized by a repulsive interaction and there is no possibility of forming a bound state.

18 pages, 8 figures. v2: significant extra material and new figures

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Cited by in corpus (28)

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• Explicit kinks in higher-order field theories
• Collision of two kinks with inner structure
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• Kink-antikink collisions in a weakly interacting ${\varphi }^4$ model
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• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
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• Scattering of compactlike structures
• Scattering of kinks in the $B{\phi }^4$ model
• Collective coordinates for the hybrid model
• Fermions on wobbling kinks: normal versus quasinormal modes
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• A new model with solitary waves: solution, stability and quasinormal modes
• Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions