English

Kink-antikink collisions in hyper-massive models

High Energy Physics - Theory 2024-10-24 v2

Abstract

We study topological kinks and their interactions in a family of scalar field models with a double well potential parametrized by the mass of small perturbations around the vacua, ranging from the mass of the ϕ4\phi^4 Klein-Gordon model all the way to the limit of infinite mass, which is identified with a non-analytic potential. In particular, we look at the problem of kink-antikink collisions and analyze the windows of capture and escape of the soliton pair as a function of collision velocity and model mass. We observe a disappearance of the capture cases for intermediary masses between the ϕ4\phi^4 and non-analytic cases. The main features of the kink-antikink scattering are reproduced in a collective coordinates model, including the disappearance of the capture cases.

Keywords

Cite

@article{arxiv.2408.06991,
  title  = {Kink-antikink collisions in hyper-massive models},
  author = {F. M. Hahne and P. Klimas},
  journal= {arXiv preprint arXiv:2408.06991},
  year   = {2024}
}

Comments

27 pages, 18 figures

R2 v1 2026-06-28T18:11:54.984Z