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Kink scattering in a hybrid model
https://repo.scoap3.org/record/32191
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.Bazeia, D.Wed, 10 Apr 2019 16:13:37 GMThttps://repo.scoap3.org/record/32191urn:ISSN:0370-2693Elsevier2019-05-20Degenerate vacua to vacuumless model and kink–antikink collisions
https://repo.scoap3.org/record/22186
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.Simas, F.C.Fri, 10 Nov 2017 14:13:33 GMThttps://repo.scoap3.org/record/22186urn:ISSN:0370-2693Elsevier2017-11-17