  We investigate the electronic structure of the highly anisotropic $\beta$
phase of metallic plutonium, within the combination of density functional
theory (DFT) and dynamical mean field theory (DMFT). Its crystal structure
gives rise to site and orbital selective electronic correlations, with coherent
Pu-5$f_{5/2}$ states and very incoherent Pu-5$f_{7/2}$ states. The Hund's
coupling is essential for determining the level of correlations of electrons in
Pu-5$f$ states, and for the quasiparticle multiplets features in the Pu-5$f$
spectral function.
