Multikink scattering in the $\phi^6$ model revisited
High Energy Physics - Theory
2022-12-21 v2 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
Antikink-kink ( ) collisions in the model exhibit resonant scattering although the kinks do not support any bound states to which energy could be transferred. In Phys. Rev. Lett. 107 (2011) 091602 it was conjectured that, instead, energy is transferred to a collective bound mode of the full configuration. Here we present further strong evidence for this conjecture. Further, we construct a collective coordinate model (CCM) for scattering based on this collective bound mode trapped between the pair which allows us to reproduce the full dynamics of scattering with striking accuracy. We also study kink-antikink () scattering and its description by a CCM. In this case a significant role of radiation is discovered.
Keywords
Cite
@article{arxiv.2209.08849,
title = {Multikink scattering in the $\phi^6$ model revisited},
author = {C. Adam and P. Dorey and A. Garcia Martin-Caro and M. Huidobro and K. Oles and T. Romanczukiewicz and Y. Shnir and A. Wereszczynski},
journal= {arXiv preprint arXiv:2209.08849},
year = {2022}
}
Comments
17 pages, 17 figures