Kink scattering in a hybrid model

Bazeia, D.  (Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-970, Brazil) ; Gomes, Adalto R.  (Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, São Luís, Maranhão, 65085-580, Brazil) ; Nobrega, K.Z. (Departamento de Eletro-Eletrônica, Instituto Federal de Educação, Ciência e Tecnologia do Maranhão (IFMA), Campus Monte Castelo, São Luís, Maranhão, 65030-005, Brazil) ; Simas, Fabiano C. (Centro de Ciências Agrárias e Ambientais-CCAA, Universidade Federal do Maranhão (UFMA), Chapadinha, Maranhão, 65500-000, Brazil)

10 April 2019

Abstract: In this work we consider a model where the potential has two topological sectors connecting three adjacent minima, as occurs with the ϕ6 model. In each topological sector, the potential is symmetric around the local maximum. For ϕ>0 there is a linear map between the model and the λϕ4 model. For ϕ<0 the potential is reflected. Linear stability analysis of kink and antikink lead to discrete and continuum modes related by a linear coordinate transformation to those known analytically for the λϕ4 model. Fixing one topological sector, the structure of antikink-kink scattering is related to the observed in the λϕ4 model. For kink-antikink collisions a new structure of bounce windows appear. Depending on the initial velocity, one can have oscillations of the scalar field at the center of mass even for one bounce, or a change of topological sector. We also found a structure of one-bounce, with secondary windows corresponding to the changing of the topological sector accumulating close to each one-bounce windows. The kink-kink collisions are characterized by a repulsive interaction and there is no possibility of forming a bound state.

Published in: Physics letters B (2019)
Published by: Elsevier
DOI: 10.1016/j.physletb.2019.04.013
License: CC-BY-3.0

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