Scattering of kinks in coreless potentials

TL;DR

This paper investigates how the inner core structure of kinks in a scalar field theory influences scattering behavior, especially when the potential's analyticity is lost, affecting resonance phenomena.

Contribution

It introduces the impact of the central hill in double-well potentials on kink scattering, highlighting the effects of non-analyticity on resonance features.

Findings

Disappearance of analyticity alters resonance structures in kink scattering.

Inner core structure significantly influences scattering outcomes.

Central hill's role is crucial in understanding kink interactions.

Abstract

We explore the relevance of the central hill for a symmetric double-well potential and its impact on the scattering of kinks in a scalar field theory in (1+1)-dimensions. This region controls the inner core structure of the kink. We study how the disappearance of analyticity in this region of the potential affects the resonant features in $K\bar{K}$ scattering.