Kink-antikink collision in the supersymmetric ${\varphi }^4$ model

Abstract

This paper investigates a model containing ${\varphi }^4$ kinks interacting with fermions. The fermion back-reaction is included in the equations of motion, which affects the kink-antikink collisions. We show that the fermion field generates a force that can be either attractive or repulsive. Moreover, we investigate three different scenarios, which exhibit a wide variety of behaviors including the usual scenarios observed in the ${\varphi }^4$ model as well as the formation of two oscillons, reflection without contact, one-bounce resonance windows, and the creation of kink-antikink pairs. We also find evidence that the fermion field can store part of the energy responsible for the energy exchange mechanism.

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Cited by in corpus (7)

• Fermionic spectral walls in kink collisions
• Resonance mediated by fermions in kink-antikink collisions
• Geometrically constrained multifield models with BNRT solutions
• Majorana zero mode-soliton duality and in-gap and BIC bound states in modified Toda model coupled to fermion
• Phonons scattering off discrete asymmetric solitons in the absence of a Peierls-Nabarro potential
• Scattering between orthogonally wobbling kinks
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering