Kink excitation spectra in the (1+1)-dimensional φ 8 model

Abstract

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.