  An intermediate inflationary universe model within the context of
non-minimally coupled to the scalar curvature is analyzed. We will conduct our
analysis under the slow roll approximation of the inflationary dynamics and the
cosmological perturbations considering a coupling of the form
$F(\varphi)=\kappa+\xi_n\varphi^n$. Considering the trajectories in the $r-n_s$
plane from Planck data, we find the constraints on the parameter-space in our
model.

General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics;High Energy Physics - Theory