  In this work we address the question of whether a low-density system composed
of identical rough particles may reach hydrodynamic states (also called
\textit{normal} states), even if energy is not conserved in particle
collisions. As a way to measure the ability of the system to present a
hydrodynamic behavior, we focus on the so-called homogeneous cooling state of
the granular gas and look at the corresponding relaxation time as a function of
inelasticity and roughness. We report computer simulation results of the sixth-
and eighth-order cumulants of the particle velocity distribution function and
study the influence of roughness on their relaxation times and asymptotic
values. This extends the results of a previous work [Phys. Rev. E \textbf{89},
020202(R) (2014], where lower-order cumulants were measured. Our results
confirm that the relaxation times are not necessarily longer for stronger
inelasticities. This implies that inelasticity by itself does not preclude
hydrodynamics.
  It is also observed that the cumulants associated with the angular velocity
distribution may reach very high values in a certain region of (small)
roughness and that these maxima coincide with small orientational correlation
points.
