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


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Article Info

DATE

2015-08

AUTHORS

Vakhid A. Gani, Vadim Lensky, Mariya A. Lizunova

ABSTRACT

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 vin ≥ vcr, 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. More... »

PAGES

147

References to SciGraph publications

  • 2008-07. Scattering of vortices in the Abelian Higgs model in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2013-12. Influence of dislocations on kink solutions of the double sine-Gordon equation in COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • 2015-04. Kink Collisions in Curved Field Space in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-11. Bound fermion states in the field of a soliton of the nonlinear O(3) σ model in JETP LETTERS
  • 2014-03. Structure and properties of four-kink multisolitons of the sine-Gordon equation in COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • 2014-12. Interactions of breathers and kink pairs of the double sine-Gordon equation in COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • 2014-12. On the momentum of solitons and vortex rings in a superfluid in JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
  • 2014-02. Rotating skyrmions of the (2 + 1)-dimensional Skyrme gauge model with a Chern-Simons term in JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
  • 2015-06. A note about a new class of two-kinks in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-04. Effect of the ϕ4 kink’s internal mode at scattering on a PT-symmetric defect in JETP LETTERS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep08(2015)147

    DOI

    http://dx.doi.org/10.1007/jhep08(2015)147

    DIMENSIONS

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