Stable Kink-Kink and Metastable Kink-Antikink Solutions

TL;DR

This paper introduces two new 1D kink models featuring stable multi-kink configurations and non-topological solutions, providing insights into complex non-integrable systems like the Skyrme model.

Contribution

It constructs novel kink theories with controllable binding energies and stable non-topological solutions, advancing understanding of non-integrable field systems.

Findings

Demonstrates stable 2-kink configurations with tunable binding energy

Introduces a locally stable non-topological solution called lavion

Provides a simple formula for kink interaction energy

Abstract

We construct and study two kink theories. One contains a static 2-kink configuration with controllable binding energy. The other contains a locally stable non-topological solution, which we call a lavion. The new models are 1D analogs of non-integrable systems in higher dimensions such as the Skyrme model and realistic vortex systems. To help construct the theories, we derive a simple expression for the interaction energy between two kinks.