  In this work we study two types of five-dimensional braneworld 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.
