Degenerate vacua to vacuumless model and kink–antikink collisions

Simas, F.C. (Centro de Ciências Agrárias e Ambientais-CCAA, Universidade Federal do Maranhão (UFMA), Chapadinha, Maranhão, 65500-000, 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)

10 November 2017

Abstract: In this work we investigate a Z2 symmetric model of one scalar field ϕ in (1,1) dimension. The model is characterized by a continuous transition from a potential V(ϕ) with two vacua to the vacuumless case. The model has kink and antikink solutions that minimize energy. Stability analysis is described by a Schrödinger-like equation with a potential that transits from a volcano-shape with no vibrational states (in the case of vacuumless limit) to a smooth valley with one vibrational state. We are interested in the structure of two-bounce windows present in kink–antikink scattering processes. The standard mechanism of Campbell–Schonfeld–Wingate (CSW) requires the presence of one vibrational state for the occurrence of two-bounce windows. We report that the effect of increasing the separation of vacua from the potential V(ϕ) has the consequence of trading some of the first two-bounce windows predicted by the CSW mechanism by false two-bounce windows. Another consequence is the appearance of false two-bounce windows of zero-order.

Published in: Physics letters B (2017)
Published by: Elsevier
DOI: 10.1016/j.physletb.2017.11.013
License: CC-BY-3.0

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