Browsing by Author "Ackora-Prah, Joseph"
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- ItemScattering of kinks in noncanonical sine-Gor Scattering of kinks in noncanonical sine-Gordon Model don Model(Turkish Journal of Physics, 2022) Takyi, Ishmael; Barnes, Benedict; Tornyeviadzi, Hoese Michel; Ackora-Prah, Joseph; 0000-0002-1217-0889; 0000-0002-0580-5655; 0000-0001-9488-9610In 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. :
- ItemVacuum polarization energy of the kinks in the sinh-deformed models(Turkish Journal of Physics, 2021) Takyi, Ishmael; Barnes, Benedict; Ackora-Prah, Joseph; 0000-0002-1217-0889; 0000-0002-0580-5655; 0000-0001-9488-9610We compute the one-loop quantum corrections to the kink energies of the sinh-deformed 4 and 6 models in one space and one time dimensions. These models are constructed from the well-known polynomial 4 and 6 models by a deformation procedure. We also compute the vacuum polarization energy to the nonpolynomial function = 1 4 (1 − sinh2 .This potential approaches the model in the limit of small values of the scalar function. These energies are extracted from scattering data for fluctuations about the kink solutions. We show that for certain topological sectors with nonequivalent vacua the kink solutions of the sinh-deformed models are destabilized.