English

Collective Coordinates in One-Dimensional Soliton Models Revisited

Pattern Formation and Solitons 2016-10-07 v2 High Energy Physics - Theory

Abstract

We compare numerical solutions to the full field equations to simplified approaches based on implementing three collective coordinates for kink-antikink interactions within the φ4\varphi^4 and ϕ6\phi^6 models in one time and one space dimensions. We particularly pursue the question whether the collective coordinate approximation substantiates the conjecture that vibrational modes are important for resonance structures to occur in kink-antikink scattering.

Keywords

Cite

@article{arxiv.1609.06833,
  title  = {Collective Coordinates in One-Dimensional Soliton Models Revisited},
  author = {I. Takyi and H. Weigel},
  journal= {arXiv preprint arXiv:1609.06833},
  year   = {2016}
}

Comments

12 pages, Phys. Rev. D, in print, minor changes to match proof-read version

R2 v1 2026-06-22T15:57:29.276Z