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Kink interactions in the (1+1)-dimensional φ6 model

Vakhid A. Gani1,2,*, Alexander E. Kudryavtsev2,†, and Mariya A. Lizunova1,2,‡

  • 1National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia
  • 2National Research Center Kurchatov Institute, Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia

  • *vagani@mephi.ru
  • kudryavt@itep.ru
  • mary.lizunova@gmail.com

Phys. Rev. D 89, 125009 – Published 11 June, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.125009

Abstract

We study kink scattering processes in the (1+1)-dimensional φ6 model in the framework of the collective coordinate approximation. We find critical values of the initial velocities of the colliding kinks. These critical velocities distinguish different regimes of collisions. The exact equation of motion for the φ6 model is also solved numerically with the same initial conditions. We discuss advantages and disadvantages of the collective coordinate approximation, and also outline its applicability limits. Resonance phenomena and the so-called escape windows are also observed in the kink collisions.

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