Multikink scattering in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>ϕ</mml:mi><mml:mn>6</mml:mn></mml:msup></mml:math> model revisited
C. Adam, Patrick Dorey, Alberto García Martín-Caro, Miguel Huidobro, K. Oleś, T. Romańczukiewicz, Yakov Shnir, A. Wereszczyński
Abstract
Antikink-kink ($\overline{\mathrm{K}}\mathrm{K}$) collisions in the ${\ensuremath{\phi}}^{6}$ model exhibit resonant scattering although the ${\ensuremath{\phi}}^{6}$ kinks do not support any bound states to which energy could be transferred. In P. Dorey et al. [Kink-Antikink Collisions in the ${\ensuremath{\phi}}^{6}$ Model, Phys. Rev. Lett. 107, 091602 (2011)] it was conjectured that, instead, energy is transferred to a collective bound mode of the full $\overline{\mathrm{K}}\mathrm{K}$ configuration. Here we present further strong evidence for this conjecture. Further, we construct a collective coordinate model (CCM) for $\overline{\mathrm{K}}\mathrm{K}$ scattering based on this collective bound mode trapped between the $\overline{\mathrm{K}}\mathrm{K}$ pair which allows us to reproduce the full dynamics of $\overline{\mathrm{K}}\mathrm{K}$ scattering with striking accuracy. We also study kink-antikink ($\mathrm{K}\overline{\mathrm{K}}$) scattering and its description by a CCM. In this case a significant role of radiation is discovered.