Abstract
We study the property of semi-infinite nuclear matter using the relativistic mean field (RMF) model with vacuum polarization. The vacuum polarization effect is calculated by the derivative expansion method, which has been shown to be a good approximation in rigorous numerical calculations. The Lagrangian density is written in terms of positive energy nucleon states together with the meson fields and the derivative meson terms for the vacuum polarization. We find that the vacuum polarization makes both the surface thickness and surface energy coefficient larger, and therefore, it is important to describe the empirical nuclear surface properties. Moreover, the vacuum polarization smoothens the oscillatory behavior of the nuclear density observed inside the nuclear surface in the RMF model.
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