Collective coordinates in one-dimensional soliton models revisited

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 and ϕ6 models in one time and one space dimensions. We particularly pursue the question whether the collective coordinat...

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Veröffentlicht in:Physical review. D 2016-10, Vol.94 (8), Article 085008
Hauptverfasser: Takyi, I., Weigel, H.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 and ϕ6 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.94.085008