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The YGLO (Yang-Grasso-Lacroix-Orsay) functional is applied for the first timeto investigate ground-state properties of different isotopic chains, fromOxygen to Lead. Mean-field Hartree-Fock calculations are carried out to analyzeglobal trends for separation energies, binding energies, radii, neutron skins,and density profiles. We have three objectives: i) we study whether thisfunctional leads to a reasonable description of ground-state properties(despite the fact that it was not adjusted on nuclei) and we discuss theassociated limitations; ii) we investigate whether the correct description ofthe low-density nuclear gas, which is the peculiarity of this functional, hasany relevant impact on predictions for nuclei; iii) we connect nuclearenergies, radii and density profiles with properties of the correspondingequations of state of infinite matter. In particular, we identify a linkexisting between the isoscalar effective mass and spatial properties inneutron-deficient nuclei, namely proton radii and tails of proton densities. Onthe other side, we show that the slope of the symmetry energy is connected withspatial properties in neutron-rich nuclei: the slope computed at saturationdensity is related to neutron skin thicknesses, as already well known, whereasthe slope calculated at lower densities is linked to the tails of neutrondensities. The YGLO effective mass turns out to be quite low. Directions toimprove this aspect are explored and suggested at the end of the manuscript.

physical review. c

Application of an ab-initio-inspired energy density functional to  nuclei: impact of the effective mass and the slope of the symmetry energy on  bulk and surface properties