Scattering of kinks in noncanonical sine-Gordon Model

Authors

ISHMAEL TAKYI
BENEDICT BARNES
HOESE MICHEL TORNYEVIADZI
JOSEPH ACKORA-PRAH

DOI

10.55730/1300-0101.2690

Abstract

In this paper, we numerically study the scattering of kinks in the noncanonical sine-Gordon model using Fourier spectral methods. The model depends on two free parameters, which control the localized inner structure in the energy density and the characteristics of the scattering potential. It has been conjectured that the kink solutions in the noncanonical model possess inner structures in their energy density, and the presence of these yields bound states and resonance structures for some relative velocities between the kink and the antikink. In the numerical study, we observed that the classical kink mass decreases monotonically as the free parameters vary, and yields bion-formations and long-lived oscillations in the scattering of the kink-antikink system.

Keywords

Kinks, scattering theory, bound states, lower-dimensional field theory

First Page

37

Last Page

50

Recommended Citation

TAKYI, ISHMAEL; BARNES, BENEDICT; TORNYEVIADZI, HOESE MICHEL; and ACKORA-PRAH, JOSEPH (2022) "Scattering of kinks in noncanonical sine-Gordon Model," Turkish Journal of Physics: Vol. 46: No. 1, Article 3. https://doi.org/10.55730/1300-0101.2690
Available at: https://journals.tubitak.gov.tr/physics/vol46/iss1/3