  The electronic structure of a cubic $\mathcal{T}$-symmetric Weyl semimetal is
analysed in the presence of atomic-sized vacancy defects. Isolated vacancies
are shown to generate nodal bound states with $r^{{\scriptscriptstyle -2}}$
asymptotic tails, even when immersed in a weakly disordered environment. These
states show up as a significantly enhanced nodal density of states which, as
the concentration of defects is increased, reshapes into a nodal peak that is
broadened by inter-vacancy hybridisation into a comb of satellite resonances at
finite energies. Our results establish point defects as a crucial source of
elastic scattering that leads to nontrivial modifications in the electronic
structure of Weyl semimetals.
