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We perform ab initio self-consistent Green's function calculations of theclosed shell nuclei $^{\rm 4}$He, $^{\rm 16}$O and $^{\rm 40}$Ca, based ontwo-nucleon potentials derived from Lattice QCD simulations, in the flavorSU(3) limit and at the pseudo-scalar meson mass of 469~MeV/c$^{\rm 2}$. Thenucleon-nucleon interaction is obtained using the HAL QCD method and itsshort-distance repulsion is treated by means of ladder resummations outside themodel space. Our results show that this approach diagonalises ultravioletdegrees of freedom correctly. Therefore, ground state energies can be obtainedfrom infrared extrapolations even for the relatively hard potentials of HALQCD. Comparing to previous Brueckner Hartree-Fock calculations, the totalbinding energies are sensibly improved by the full account of many-bodycorrelations. The results suggest an interesting possible behaviour in whichnuclei are unbound at very large pion masses and islands of stability appear atfirst around the traditional doubly-magic numbers when the pion mass is loweredtoward its physical value. The calculated one-nucleon spectral distributionsare qualitatively close to those of real nuclei even for the pseudo-scalarmeson mass considered here.

Doubly magic nuclei from Lattice QCD forces at $M_{PS}=$469 MeV/c$^2$