Work

Collisions of weakly-bound kinks in the Christ-Lee model

Year: 2023

Type: article

Abstract: We investigate soliton collisions in a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee [1]. The models have a sextic potential with three local minima, and for suitably small values of the parameter their kinks have an internal structure in the form of two weakly-bound subkinks. We show that for these values of the parameter kink collisions are best understood as an independent sequence of collisions of these subkinks, and that a static mode analysis is not enough to explain resonant structures emerging in this model. We also emphasise the role of radiation and oscillon formation in the collision process.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep09(2023)045

Authors: Patrick Dorey, Anastasia Gorina, Tomasz Romańczukiewicz, Yakov Shnir

Institutions: African Institute for Mathematical Sciences, Durham University, Jagiellonian University, Carl von Ossietzky Universität Oldenburg

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond