  We perform ab initio self-consistent Green's function calculations of the
closed shell nuclei $^{\rm 4}$He, $^{\rm 16}$O and $^{\rm 40}$Ca, based on
two-nucleon potentials derived from Lattice QCD simulations, in the flavor
SU(3) limit and at the pseudo-scalar meson mass of 469~MeV/c$^{\rm 2}$. The
nucleon-nucleon interaction is obtained using the HAL QCD method and its
short-distance repulsion is treated by means of ladder resummations outside the
model space. Our results show that this approach diagonalises ultraviolet
degrees of freedom correctly. Therefore, ground state energies can be obtained
from infrared extrapolations even for the relatively hard potentials of HAL
QCD. Comparing to previous Brueckner Hartree-Fock calculations, the total
binding energies are sensibly improved by the full account of many-body
correlations. The results suggest an interesting possible behaviour in which
nuclei are unbound at very large pion masses and islands of stability appear at
first around the traditional doubly-magic numbers when the pion mass is lowered
toward its physical value. The calculated one-nucleon spectral distributions
are qualitatively close to those of real nuclei even for the pseudo-scalar
meson mass considered here.
