  In this study we present a unified phenomenological analysis of the scalar
glueball and scalar meson spectra within an AdS/QCD framework in the bottom up
approach. For this purpose we generalize the recently developed graviton
soft-wall (GSW) model, which has shown an excellent agreement with the lattice
QCD glueball spectrum, to a description of glueballs and mesons with a unique
energy scale. In this scheme, dilatonic effects, are incorporated in the metric
as a deformation of the AdS space. We apply the model also to the heavy meson
spectra with success. We obtain quadratic mass equations for all scalar mesons
while the glueballs satisfy an almost linear mass equation. Besides their
spectra, we also discuss the mixing of scalar glueball and light scalar meson
states within a unified framework: the GSW model. To this aim, the light-front
holographic approach, which connects the mode functions of AdS/QCD to the
light-front wave functions, is applied. This relation provides the
probabilistic interpretation required to properly investigate the mixing
conditions.
