Nuclear masses and the equation of state of nuclear matter

The incompressible liquid-drop (ILD) model reproduces masses of stable nuclei rather well. Here we show how the ILD volume, surface, symmetry, and Coulomb energies are related to equation state nuclear matter using Oyamatsu-Iida (OI) macroscopic model, which has reasonable many-body energy isoscalar inhomogeneity gradient energy. We use 304 update interactions, covering wide ranges incompressibility $K_0$ symmetric density slope symmetry $L$, fit almost equally empirical mass radius data nuclei. Thus, $L$ dependences nearly frozen in as leading clear correlations among interaction saturation parameters. Furthermore, assume that surface OI is twice large size equilibrium conditions models. Then, four models agree well for with $A \gtrsim 40$. Meanwhile, $L \lesssim 100$ MeV predicts latest better than those nuclei, suggest $20 L 90$ MeV, although lower boundary not constrained