Compact kinks in a modified Christ-Lee model

Abstract

We study compact kinks in a modified Christ-Lee model where the potential is a non-analytic function at the minima. The model has two control parameters that determine the order of the potential and its overall shape. We consider cases in which the potential has a double well shape, a triple well shape, as well as cases with a false vacuum. Compact kink solutions and their internal modes are found for each of these cases. We also study the collision of such kinks and their dependence on the solitons velocity and on the potential parameters. Several interesting dynamical processes are reported, such as the formation of central oscillons for some high velocity collisions, absence of outgoing solitons in cases where the potential is given by piece-wise linear functions, and the decoupling of subkinks from the larger kink in cases with false vacuum, leading to the formation of false vacuum bubbles.

39 pages, 35 figures

References in corpus (22)

• Kink-antikink collisions in the phi^6 model
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Multi-kink collisions in the ${\varphi }^6$ model
• Kink-Antikink Scattering in ϕ^4 and ϕ^6 Models
• From Kinks to Compactons
• Kink Moduli Spaces -- Collective Coordinates Reconsidered
• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey
• False vacuum decay in kink scattering
• Scaling, self-similar solutions and shock waves for V-shaped field potentials
• BPS submodels of the Skyrme model
• Swaying oscillons in the signum-Gordon model
• Scattering of compact oscillons
• Oscillons in a perturbed signum-Gordon model
• Semi-compactness and multiple oscillating pulses in kink scattering
• Collective coordinates for the hybrid model
• The BPS sectors of the Skyrme model and their non-BPS extensions
• Scattering of compact kinks
• On decay of shock-like waves into compact oscillons
• Compact kink and its interaction with compact oscillons
• Scalar fields, localized structures and the Starobinsky model
• Kink-antikink collisions in hyper-massive models