  We consider a brane cosmology scenario by taking an inflating 3D domain wall
immersed in a five-dimensional Minkowski space in the presence of a stack of
$N$ parallel domain walls. They are static BPS solutions of the bosonic sector
of a 5D supergravity theory. However, one can move towards each other due to an
attractive force in between driven by bulk particle collisions and {\it
resonant tunneling effect}. The accelerating domain wall is a 3-brane that is
assumed to be our inflating early Universe. We analyze this inflationary phase
governed by the inflaton potential induced on the brane. We compute the
slow-roll parameters and show that the spectral index and the tensor-to-scalar
ratio are within the recent observational data.
