Multikink scattering in the ϕ6 model revisited

Adam, C.; Dorey, P.; Martín-Caro, A. García; Huidobro, M.; Oles, K.; Romanczukiewicz, T.; Shnir, Y.; Wereszczynski, A.

Abstract

Antikink-kink (KK) collisions in the ¯ ϕ6 model exhibit resonant scattering although the ϕ6 kinks do not support any bound states to which energy could be transferred. In P. Dorey et al. [Kink-Antikink Collisions in the ϕ6 Model, Phys. Rev. Lett. 107, 091602 (2011)] it was conjectured that, instead, energy is transferred to a collective bound mode of the full KK configuration. Here we present further strong evidence for this ¯ conjecture. Further, we construct a collective coordinate model (CCM) for KK scattering based on this ¯ collective bound mode trapped between the KK pair which allows us to reproduce the full dynamics of ¯ KK¯ scattering with striking accuracy. We also study kink-antikink (KK) scattering and its description by a ¯ CCM. In this case a significant role of radiation is discovered.

Citation

Adam, C., Dorey, P., Martín-Caro, A. G., Huidobro, M., Oles, K., Romanczukiewicz, T., …Wereszczynski, A. (2022). Multikink scattering in the ϕ6 model revisited. Physical Review D, 106(12), Article 125003. https://doi.org/10.1103/physrevd.106.125003

• Journal Article Type: Article
• Acceptance Date: Nov 18, 2022
• Online Publication Date: Dec 12, 2022
• Publication Date: Dec 15, 2022
• Deposit Date: Dec 13, 2022
• Publicly Available Date: Dec 13, 2022
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 106
• Issue: 12
• Article Number: 125003
• DOI: https://doi.org/10.1103/physrevd.106.125003
• Public URL: https://durham-repository.worktribe.com/output/1185118
• Related Public URLs: https://arxiv.org/abs/2209.08849