Collisions of weakly-bound kinks in the Christ-Lee model
High Energy Physics - Theory
2023-04-25 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We investigate soliton collisions a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the parameter its 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.
Keywords
Cite
@article{arxiv.2304.11710,
title = {Collisions of weakly-bound kinks in the Christ-Lee model},
author = {Patrick Dorey and Anastasia Gorina and Tomasz Romańczukiewicz and Yakov Shnir},
journal= {arXiv preprint arXiv:2304.11710},
year = {2023}
}
Comments
23 pages, 24 figures