Resonance phenomena in the $\varphi^8$ kinks scattering
High Energy Physics - Theory
2018-01-09 v1 Materials Science
Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We study the scattering of the kinks with power-law asymptotics. We found two critical values of the initial velocity, and , which separate different regimes of the kink-antikink collision. At the initial velocities kinks can not collide due to repulsive force between them. At the kinks escape to spatial infinities after one collision. In the range we observed kinks capture and formation of their bound state. Besides that, at these initial velocities we found resonance phenomena -- escape windows.
Cite
@article{arxiv.1712.02846,
title = {Resonance phenomena in the $\varphi^8$ kinks scattering},
author = {Ekaterina Belendryasova and Vakhid A. Gani},
journal= {arXiv preprint arXiv:1712.02846},
year = {2018}
}
Comments
5 pages, 4 figures; Proceedings of the 3rd International Conference on Particle Physics and Astrophysics, Moscow, 2-5 October 2017