Abstract
In this work we study two types of five-dimensional braneworid models
given by sine-Gordon potentials. In both scenarios, the thick brane is
generated by a real scalar field coupled to gravity. We focus our
investigation on the localization of graviton field and the behaviour of
the massive spectrum. In particular, we analyse the localization of
massive modes by means of a relative probability method in a Quantum
Mechanics context. Initially, considering a scalar field sine-Gordon
potential, we find a localized state to the graviton at zero mode.
However, when we consider a double sine-Gordon potential, the brane
structure is changed allowing the existence of massive resonant states.
The new results show how the existence of an internal structure can aid
in the emergence of massive resonant modes on the brane. (C) 2015
Elsevier Inc. All rights reserved.
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