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Multikink scattering in the $\phi^6$ model revisited

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arxiv 2209.08849 v2 pith:SLEAI23V submitted 2022-09-19 hep-th math-phmath.MPnlin.PS

C. Adam , P. Dorey , A. Garcia Martin-Caro , M. Huidobro , K. Oles , T. Romanczukiewicz , Y. Shnir , A. Wereszczynski This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.PS
keywords scatteringboundcollectivemodelenergyfullfurthermode
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abstract

Antikink-kink ( $\bar{\rm K} $$ {\rm K}$) collisions in the $\phi^6$ model exhibit resonant scattering although the $\phi^6$ kinks do not support any bound states to which energy could be transferred. In Phys. Rev. Lett. 107 (2011) 091602 it was conjectured that, instead, energy is transferred to a collective bound mode of the full $\bar{\rm K} $$ {\rm K}$ configuration. Here we present further strong evidence for this conjecture. Further, we construct a collective coordinate model (CCM) for $\bar{\rm K} $$ {\rm K}$ scattering based on this collective bound mode trapped between the $\bar{\rm K} $$ {\rm K}$ pair which allows us to reproduce the full dynamics of $\bar{\rm K} $$ {\rm K}$ scattering with striking accuracy. We also study kink-antikink (${\rm K} $$ \bar{\rm K}$) scattering and its description by a CCM. In this case a significant role of radiation is discovered.

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Cited by 3 Pith papers

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