Interaction between kinks and antikinks with double long-range tails
| Autor: | Azadeh Mohammadi, João G. F. Campos |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Range (particle radiation) Annihilation 010308 nuclear & particles physics QC1-999 Numerical analysis FOS: Physical sciences Equations of motion Pattern Formation and Solitons (nlin.PS) Critical ionization velocity Nonlinear Sciences - Pattern Formation and Solitons 01 natural sciences Resonance (particle physics) Classical mechanics High Energy Physics - Theory (hep-th) 0103 physical sciences Vector field 010306 general physics Nonlinear Sciences::Pattern Formation and Solitons Ansatz |
| Zdroj: | Physics Letters Physics Letters B, Vol 818, Iss, Pp 136361-(2021) |
| Popis: | We explore a class of $\phi^{4n}$ models with kink and antikink solutions that have long-range tails on both sides, specializing to the cases with $n=2$ and $n=3$. A recently developed method of an accelerating kink ansatz is used to estimate the force between the kink and the antikink. We use state-of-the-art numerical methods to initialize the system in a kink-antikink configuration with a finite initial velocity and to evolve the system according to the equations of motion. Among these methods, we propose a computationally efficient way to initialize the velocity field of the system. Interestingly, we discover that, for this class of models, $\phi^{4n}$ with $n>1$, the kink-antikink annihilation behaves differently from the archetypal $\phi^4$ model or even the kinks with one long-range tail because there is neither long-lived bion formation nor resonance windows and the critical velocity is ultrarelativistic. Comment: 15 pages, 6 figures |
| Databáze: | OpenAIRE |
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