  The nature of gravity and its strength compared with other forces are
fundamental challenges faced by the actual science. A path to understanding the
hierarchy problem of gravity consists in adding an extra dimension to
Einstein-Hilbert's general relativity. Therefore, gravity would be the only
force leaking through this region of spacetime also known as brane. Despite the
success of the mathematical description for the hierarchy issue through simple
thin branes, it is also possible to derive a consistent theory of gravity using
thick branes. The present work unveils a new procedure to determine analytic
hybrid thick braneworld models. The discussions were based on the so-called
Bloch branes, which are constructed via a two-field model coupled with gravity
in 5-dimensional spacetime. Both fields used to build the Bloch branes depend
only on the extra dimension, and the hybrid branes present internal structure,
characterizing them as thick. In this work, we were able to derive new analytic
thick brane models by using the extension method. Some of these new branes
present a Minkowski spacetime immersed inside of the fifth-dimension. We showed
how the symmetry of the emergent branes can be controlled via specific
parameters. We also analyzed the stability conditions for each braneworld
family, showing possible stable states for gravitons.
