Resonance phenomena in the ${\phi }^8$ kinks scattering

Abstract

We study the scattering of the ${\phi }^8$ kinks with power-law asymptotics. We found two critical values of the initial velocity, $v_{cr}^{(1)}$ and $v_{cr}^{(2)}$, which separate different regimes of the kink-antikink collision. At the initial velocities $v_{in}<v_{cr}^{(1)}$ kinks can not collide due to repulsive force between them. At $v_{in}>v_{cr}^{(2)}$ the kinks escape to spatial infinities after one collision. In the range $v_{cr}^{(1)}\le v_{in}\le v_{cr}^{(2)}$ we observed kinks capture and formation of their bound state. Besides that, at these initial velocities we found resonance phenomena -- escape windows.

arXiv comment5 pages, 4 figures; Proceedings of the 3rd International Conference on Particle Physics and Astrophysics, Moscow, 2-5 October 2017

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