Oscillons in hyperbolic models

TL;DR

This paper investigates kink-antikink collisions in hyperbolic models, revealing how a deformation parameter influences potential characteristics, leading to suppressed bounce windows and the emergence of long-lived oscillons linked to vibrational states.

Contribution

It introduces a hyperbolic model framework with a deformation parameter affecting kink dynamics and identifies the connection between vibrational states and scattering phenomena.

Findings

Decreasing kink rest mass with increasing deformation parameter.

Suppression of two bounce windows in kink scattering.

Emergence of long-lived oscillons related to vibrational states.

Abstract

In this work we examine kink-antikink collisions in two distinct hyperbolic models. The models depend on a deformation parameter, which controls two main characteristics of the potential with two degenerate minima: the height of the barrier and the values of the minima. In particular, the rest mass of the kinks decreases monotonically as the deformation parameter increases, and we identify the appearance of a gradual suppression of two bounce windows in the kink scattering and the production of long lived oscillons. The two effects are reported in connection to the presence of more than one vibrational state in the stability potential.