Resonant kink-antikink scattering through quasinormal modes

TL;DR

This paper explores how quasinormal modes influence kink-antikink collisions in a modified $\

Contribution

It demonstrates that narrow quasinormal modes can temporarily store and release energy during collisions, affecting resonance windows and critical velocities.

Findings

Quasinormal modes can store energy during collisions.

Decay of quasinormal modes leads to energy leakage.

Resonance windows close and critical velocity increases due to decay.

Abstract

We investigate the role that quasinormal modes can play in kink-antikink collisions, via an example based on a perturbation of the $\phi^4$ model. We find that narrow quasinormal modes can store energy during collision processes and return it back to the translational degrees of freedom. Quasinormal modes also decay, which leads to energy leakage, causing a closing of resonance windows and an increase of the critical velocity. We observe similar phenomena in an effective model, a small modification of the collective-coordinate approach to the $\phi^4$ model.