Scattering of kinks in a non-polynomial model

TL;DR

This paper investigates the scattering behavior of kink-antikink pairs in a novel non-polynomial scalar field model, revealing unique features not observed in traditional polynomial models like the $\

Contribution

It introduces a non-polynomial scalar field model with analytical kink solutions and explores its unique scattering dynamics through numerical analysis.

Findings

Identification of unique scattering features in the non-polynomial model

Comparison with standard $\\varphi^4$ model behaviors

Demonstration of analytical kink solutions in the new model

Abstract

We study a model described by a single real scalar field in the two-dimensional space-time. The model is specified by a potential which is non-polynomial and supports analytical kink-like solutions that are similar to the standard kink-like solutions that appear in the $\varphi^4$ model when it develops spontaneous symmetry breaking. We investigate the kink-antikink scattering problem in the non-polynomial model numerically and highlight some specific features, which are not present in the standard case.