  We compare the trends on the strength of electronic correlations across the
different phases of elemental Pu focusing on its site and orbital dependence,
using a combination of density functional theory (DFT) and dynamical mean field
theory (DMFT) calculations within the vertex corrected one crossing
approximation. We find that Pu-5$f$ states are more correlated in $\delta$-Pu,
followed by some crystallographic sites in $\alpha$ and $\beta$ phases. In
addition, we observe that Pu-5$f_{5/2}$ and Pu-5$f_{7/2}$ orbital
differentiation is a general feature of this material, as is site
differentiation in the low symmetry phases. The Pu-5$f_{5/2}$ states show Fermi
liquid like behavior whereas the Pu-5$f_{7/2}$ states remaining incoherent down
to very low temperatures. We correlate the correlation strength in the
different phases to their structure and the Pu-5$f$ occupancy of their
crystallographic sites.
