Abstract
The energy density is calculated in coordinate space for 12C, 40Ca, 48Ca, and 208Pb using a dispersive optical model constrained by all relevant data including the corresponding energy of the ground state. The nuclear interior minimally contributes to the total binding energy due to the 4πr2 phase space factor. Thus, the volume contribution to the energy in the interior is not well constrained. The dispersive-optical-model energy densities are in reasonable agreement with ab initio self-consistent Green’s function calculations of infinite nuclear matter restricted to treat only short-range and tensor correlations. These results call into question the degree to which the equation of state for nuclear matter is constrained by the empirical mass formula. In particular, the results in this chapter indicate that saturated nuclear matter does not require the canonical value of 16 MeV binding per particle but only about 13–14 MeV when the interior of 208Pb is considered.
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