Excitation spectra of solitary waves in scalar field models with polynomial self-interaction

International Conference on Particle Physics and Astrophysics

Gani, V.A.^1,2 ; Lensky, V.^1,2,3 ; Lizunova, M.A.^1,2 ; Mrozovskaya, E.V.^1,2,3

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Kashirskoe highway 31, Moscow

115409, Russia^1

National Research Centre Kurchatov Institute, Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya str. 25, Moscow

117218, Russia^2

Institut für Kernphysik, PRISMA Cluster of Excellence, Johannes Gutenberg Universität Mainz, Mainz

D-55128, Germany^3

关键词: Energy exchanges;    Excitation spectrum;    Long range interactions;    Resonance phenomena;    Scalar field models;    Scalar model;    Self-interactions;    Vibrational modes;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/675/1/012019/pdf
DOI  :  10.1088/1742-6596/675/1/012019

来源: IOP

【 摘 要 】

We study excitations of solitary waves - the kinks - in scalar models with degree eight polynomial self-interaction in (1 + 1) dimensions. We perform numerical studies of scattering of two kinks with an exponential asymptotic off each other and analyse the occurring resonance phenomena. We connect these phenomena to the energy exchange between the translational and the vibrational modes of the colliding kinks. We also point out that the interaction of two kinks with power-law asymptotic can lead to a long-range interaction between the two kinks.