  In this work a study of the fractional momentum loss ($S_{\rm loss}$) as a
function of the characteristic path-length ($L$) and the Bjorken energy density
times the equilibration time ($\epsilon_{\rm Bj}\tau_{0}$) for heavy-ion
collisions at different $\sqrt{s_{\rm NN}}$ is presented. The study has been
conducted using inclusive charged particles from intermediate to large
transverse momentum ($5<p_{\rm T}<20$ GeV/$c$). Within uncertainties and for
all the transverse momentum values which were explored, the fractional momentum
loss linearly increases with $({\epsilon_{\rm Bj}\tau_{0}})^{3/8}$$L$. The
functional form of $S_{\rm loss}$ vs. $({\epsilon_{\rm Bj}\tau_{0}})^{3/8}$$L$
seems to be universal. Moreover, for identified charged hadrons a linear
relationship between $S_{\rm loss}$ and $L$ is also observed. The behaviour of
data could provide important information aimed to understand the parton energy
loss mechanism in heavy-ion collisions and some insight into the expected
effect for small systems.
