English

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 ( Kˉ\bar{\rm K} K {\rm K}) collisions in the ϕ6\phi^6 model exhibit resonant scattering although the ϕ6\phi^6 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 Kˉ\bar{\rm K} K {\rm K} configuration. Here we present further strong evidence for this conjecture. Further, we construct a collective coordinate model (CCM) for Kˉ\bar{\rm K} K {\rm K} scattering based on this collective bound mode trapped between the Kˉ\bar{\rm K} K {\rm K} pair which allows us to reproduce the full dynamics of Kˉ\bar{\rm K} K {\rm K} scattering with striking accuracy. We also study kink-antikink (K{\rm K} Kˉ \bar{\rm K}) 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

R2 v1 2026-06-28T01:34:18.145Z