Kink excitation spectra in the (1+1)-dimensional φ8 model

  • Vakhid A. Gani
  • Vadim Lensky
  • Mariya A. Lizunova
Open Access
Regular Article - Theoretical Physics


We study excitation spectra of BPS-saturated topological solutions — the kinks — of the φ8 scalar field model in (1 + 1) dimensions, for three different choices of the model parameters. We demonstrate that some of these kinks have a vibrational mode, apart from the trivial zero (translational) excitation. One of the considered kinks is shown to have three vibrational modes. We perform a numerical calculation of the kink-kink scattering in one of the considered variants of the φ8 model, and find the critical collision velocity vcr that separates the different collision regimes: inelastic bounce of the kinks at vinvcr, and capture at vin < vcr. We also observe escape windows at some values of vin < vcr where the kinks escape to infinity after bouncing off each other two or more times. We analyse the features of these windows and discuss their relation to the resonant energy exchange between the translational and the vibrational excitations of the colliding kinks.


Field Theories in Lower Dimensions Solitons Monopoles and Instantons Effective field theories 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Vakhid A. Gani
    • 1
    • 2
  • Vadim Lensky
    • 2
    • 3
  • Mariya A. Lizunova
    • 2
    • 4
  1. 1.Department of MathematicsNational Research Nuclear University, MEPhI (Moscow Engineering Physics Institute)MoscowRussia
  2. 2.Theory DepartmentNational Research Center Kurchatov Institute, Institute for Theoretical and Experimental PhysicsMoscowRussia
  3. 3.Department of Elementary Particle PhysicsNational Research Nuclear University, MEPhI (Moscow Engineering Physics Institute)MoscowRussia
  4. 4.Department of Theoretical Nuclear PhysicsNational Research Nuclear University, MEPhI (Moscow Engineering Physics Institute)MoscowRussia

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